It took approximately 2.28 seconds for the disk to stop.
Given that the angular acceleration of the disk is constant at 18 rad/s², we can calculate the time it took for the disk to stop by using the formula:
Final angular velocity (ωf) = Initial angular velocity (ωi) + (angular acceleration (α) * time (t))
In this case, the initial angular velocity (ωi) is 1.7 rev/s, and the final angular velocity (ωf) is 0 rev/s (since the disk comes to a stop). The angular acceleration (α) is 18 rad/s². We need to convert the initial angular velocity to rad/s by multiplying it by 2π.
0 = 1.7 rev/s + (18 rad/s² * t)
Solving for t, we have:
t = -1.7 rev/s / (18 rad/s²)
Converting -1.7 rev/s to rad/s (multiplying by 2π) and substituting the values, we get:
t ≈ -2π * 1.7 rad/s / (18 rad/s²)
≈ -0.592 seconds
Since time cannot be negative, we take the absolute value, resulting in approximately 0.592 seconds. Rounded to two decimal places, the time it took for the disk to stop is approximately 2.28 seconds.
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Wave or Particle? Quick Check
Answer:
1. How do scientists support claims about different models of light? (Answer: They collect evidence and make sure that the model)
2. In the photoelectric effect, electrons are ejected by matter (Answer: The energy from the waves of light coming from bright lights)
3. Light can be passed through two slits and projected onto a screen. (Answer: The spots are the result of interference, which happenhappens with waves but not particles. )
4. Light travels from the stars to Earth. As light travels, it moves through etc etc. (Answer: This is not something that waves do because they need a medium to travel through)
5. Which expression emphasizeemphasizes the understanding that light can act in one of two (Answer: Wave-particle dualitduality)
6. Which is a statement of reasoning about the two-slit interference experiment? (Answer: When the electromagnetic wave peaks overlap)
--Your Welcome ig--
Electrons are released as a result of the photoelectric effect when electromagnetic radiation, such as light, strikes a metallic surface.
1) The elastic collision (conserves mechanical energy) between the photon of light and the metal's electron that occurs in the photoelectric effect is in accordance with a particle theory of light.
2) When a light with a specific frequency hits a metal's surface, electrons are emitted from the metal. This phenomenon is known as the photoelectric effect, and the ejected electrons are referred to as photoelectrons.
3) Diffraction causes light to bend and spread over the screen when it passes through a slit, creating a recognizable banded pattern. This phenomenon is known as interference of light. New dark regions emerge as light passes between two slits.
4) As a wave, light travels to the earth. It doesn't require any medium or material to convey its energy forward, unlike sound waves or water waves. This implies that light can go through a vacuum.
5) Energy comes in the form of light, which has two different characteristics. This indicates that light has both particle nature and wave nature.
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A weightlifter must exert 25 Newtons of force to
lift a set of barbells 2 meters off the ground.
How much work did he do on the barbells when he lifted
them?
A. 50 Nm
B. 2.5 Nm
C. 0 Nm
\(Work=Force \: × \: displacement \\ => W=Fs \\ \\ Given, \\ Force=25 \: N \\ Displacement=2m \\ \\ so \: work = 25 \: N \: \times 2m \\ = > work = 25kgm {s}^{ - 2} \times 2m \\ = > work = 50kg {m}^{2} {s}^{ - 2} \\ = > work = 50J\)
This is the answer.
Hope it helps!!
A weightlifter must exert 25 Newtons of force to lift a set of barbells 2 meters off the ground, the weightlifter did 50 Nm of work on the barbells when he lifted them. The correct option is A.
To calculate the work done by the weightlifter in lifting the barbells, we can use the formula:
Work = Force × Distance
Here, it is given that:
Force = 25 Newtons
Distance = 2 meters
Substituting the values into the formula:
Work = 25 N × 2 m
Calculating the multiplication:
Work = 50 Nm (Newton-meters)
Thus, the weightlifter did 50 Nm of work on the barbells when he lifted them, the correct answer is A. 50 Nm.
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describe an experimental procedure the student could use to collect the data needed to find the frictional torque exerted on the platform while it rotates
A frictional torque is exerted on a platform while it rotates because the force is along it's axis and changes only the magnitude and not the direction of the angular velocity.
What is frictional torque?A frictional torque is a rotational force that is caused by the movement of two objects that are in contact.
To collect data needed to find the frictional torque exerted on the platform while it rotates the experimental procedure the student should use include the following:
A disc shaped platform with know inertiaThe platform should be mounted on a fixed axle.The platform should also be rotating on a horizontal plane.The quantities that should be measured is that rotational frictional force and angular velocity.
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A billiard ball collides with another billiard ball, transferring all of its kinetic energy. What will happen after the collision
Answer: If the cue ball strikes a stationary billiard ball straight on, then the cue ball will stop moving after the collision. It will have transferred all of its kinetic energy to the other ball, which will move forward with the same velocity that the cue ball had before the collision.
Explanation:
A beam of light passes through water (n1=1.33) into a mystery substance at an angle of 43 (01) if the beam of the light refracts to an angle of 22 (02) in the mystery substance what is the refractive index (n2) of the mystery substance
The refractive index of the mystery substance is n2 = 2.17.
What is refractive index?Refractive index is a physical quantity that describes how light interacts with a particular material. It is defined as the ratio of the speed of light in a vacuum to the speed of light in the material. Refractive index is an important factor in optics, as it determines how much light is bent or refracted when it enters a material, and the angle at which it is refracted. Refractive index is also used to measure the thickness of a material or to calculate the index of refraction of a material. It is also used to determine the refractive properties of gemstones, for example in gemology.
The refractive index of the mystery substance (n2) can be calculated using Snell's law, which states that n1*sin(01) = n2*sin(02).
Therefore, n2 = n1*sin(01)/sin(02) = 1.33*sin(43°)/sin(22°) = 2.17
This means that the refractive index of the mystery substance is n2 = 2.17.
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a body of mass 6kg moving forward on horizontal surface with an initial velocity of 8m/s comes to rest after 3s. if one wants to keep this body moving on the same surface with velocity of 8m/s, the force required is
Answer: No force is required to keep the mass moving at a constant velocity (on a frictionless surface) and in the same direction
Explanation:
Tricky question!
The force required to slow the moving mass down to a rest is F = ma
F = (6 kg) x ((0 - 8m/s)/(3 s)) = 16 N (force in opposite direction of motion)
To keep the 6 kg mass which is already moving at a velocity of 8 m/s going in the same direction at the same velocity, no force (F=0) is applied, due to Newton's 1st Law of Motion. This assumes a frictionless surface.
What flows in a circuit to generate a current?
A. Protons
B. Electrons
C. Neutrons
Q1 scalar quantity has
A: magnitude and direction
B: no magnitude and no direction
c:magnitude but no direction
d: direction but no magnitude
Answer:
what is this ???✔️✔️✔️
Explanation:
plz give explanation i don't understand ✔️✔️
Which of the following is an example of a chemical property? Density Solubility Flammability Magnetism
Answer:
Flammability.
Explanation:
I took the test.
after the switch is closed, which plate of the capacitor eventually becomes positively charged?
After the switch is closed, the plate of the capacitor that eventually becomes positively charged depends on the configuration of the circuit. There are two possible configurations: series and parallel.
Series Configuration:Therefore, in both series and parallel configurations, the plate connected to the positive terminal of the voltage source eventually becomes positively charged. The charge on the capacitor builds up gradually until it reaches its maximum value determined by the voltage source and the capacitance of the capacitor.
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(ii) Let R be a rotation and S be a reflection of the euclidean plane E. Give a precise deion of RS, relating it to the classification of isometries of E². Be careful of special cases.
RS is a composition of rotation and reflection in the Euclidean plane E². The precise description of RS depends on the specific properties of the rotation R and reflection S.
In general, if R and S have the same axis or line of symmetry, the composition RS results in a translation. If R and S have intersecting lines of symmetry, RS yields a glide reflection. If R and S have perpendicular lines of symmetry, RS produces a rotation.
It is important to consider special cases, such as parallel lines of symmetry, coinciding axes, or perpendicular lines of reflection, as they may lead to different outcomes. The classification of isometries in E² involves understanding how rotations and reflections combine to create different transformations in the plane.
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Arrange the following regions of the electromagnetic spectrum in order of increasing frequency: infrared, microwave, gamma, visible
In order of increasing frequency, the regions of the electromagnetic spectrum are as follows: infrared, microwave, visible, and gamma.
Starting with infrared, it has lower frequencies than the other regions mentioned. It lies just below the visible spectrum and is associated with heat radiation. Microwaves have slightly higher frequencies and are commonly used in communication and cooking applications.
Next, the visible spectrum encompasses the range of frequencies that our eyes can perceive. It includes the colors of the rainbow, from red (lower frequency) to violet (higher frequency). The visible spectrum plays a vital role in our perception of the surrounding world.
Finally, gamma rays have the highest frequencies in the list. They are associated with extremely energetic phenomena, such as nuclear reactions and high-energy particle interactions. Gamma rays have wavelengths shorter than X-rays and possess immense penetrating power.
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A bullet of mass 0.05kg has a speed 400.what is it's kinetic energy.
if the bullet hits a wall of which the average resistive force is 10000 newton.calculate the distance penetrated by the bullet.
Answer:
K.E =1÷2M×V^2
= 1÷2×0.05×(400)^2
= 4000
Explanation:
Does volume alone determine weather an object will float or sink? I believe its no. I just need to make sure.
Answer:
No
Explanation:
Density determines whether an object sinks or float. if the object is less dense than the medium in which it was submerged, it will float. for example, when you pour oil in water, it floats because water is denser than oil.
The specific heat capacity of water is 4,200 J/kg °C.
Calculate the thermal energy that must be
absorbed by 1.4 kg of water to increase its
temperature by 25 °C.
help TvT
Air pollution is an example of a. The underground economy. B. An external shock. C. A nonmarket activity. D. A negative externality.
Answer:
D. A negative externality.
Explanation:
Particulate pollution is a form of pollution that is responsible for the degradation of the environment.
Particulate matter is also referred to as particle pollution or atmospheric aerosol particles and it can be defined as a complex microscopic mixture of liquid droplets and solid particles that are suspended in air.
An externality is typically an unwarranted cost or benefit by a manufacturer or producer of goods and services that affects a third party.
In Economics, an externality could either be positive or negative depending on its effect on a third party.
A negative externality arises when the production or consumption of a finished product or service has negative impact (cost) on a third party.
In conclusion, air pollution is an example of a negative externality because it causes harm to a third party.
You wish to date a hip bone fragment you found at a cave site.
You find a ratio of 1 14C atoms for every 31 14N atoms. How many
half- lives have elapsed?
To determine the number of half-lives that have elapsed, we need to compare the ratio of 14C to 14N atoms found in the hip bone fragment.
The ratio of 1 14C atom for every 31 14N atoms suggests that the hip bone fragment contains a smaller amount of 14C compared to the expected ratio found in a living organism. Since 14C undergoes radioactive decay with a half-life of approximately 5730 years, we can calculate the number of half-lives that have elapsed by observing how many times the ratio needs to double to reach the expected ratio.
In this case, if the expected ratio is 1:1, then the observed ratio of 1:31 would require five doublings to reach 1:1. Therefore, approximately five half-lives have elapsed since the death of the organism from which the hip bone fragment originated.
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Please please help me :)
Answer:
Explanation:
2) From F=ma
Force =15×40=600N or kgm/s2
3)From the same equation making acceleration the subject of the formula will give
a=f÷m
=24÷4=6m/s2
4)m=f÷a
=45÷15=3kg
A vertical spring stretches 3.4 cm when a 15-g object is hung from it. The object is replaced with a block of mass 26 g that oscillates in simple harmonic motion. Calculate the period of motion.
The period of motion of a 26 g block oscillating on a 3.4 cm stretched vertical spring is calculated.
The period of motion of the block on the spring can be calculated using the formula T = 2π√(m/k), where T is the period, m is the mass of the block, and k is the spring constant.
To find k, we can use the equation k = F/x, where F is the force exerted by the spring and x is the displacement of the spring from its equilibrium position.
Since we know that the spring stretches 3.4 cm with a 15 g object, we can calculate the force to be 0.147 N.
Using this force and the displacement of the spring caused by the 26 g block, we can find the new value of k.
Then, plugging in the values of m and k into the period formula, we get a period of 0.692 seconds.
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As we know, the moon is a satellite of our earth, what is the
theoretical period of the moon? The average radius of the
moon's orbit is 3.84 108 m and the mass of the earth is 5.97 x
1024 kg (in hours, G = 6.67 x 10-9 N (m/kg) 3).
Answer:c
Explanation:c
This question involves the concepts of the time period, orbital radius, and gravitational constant.
The theoretical period of the moon is "658 hr".
The theoretical time period of the moon around the earth can be found using the following formula:
\(\frac{T^2}{R^3}=\frac{4\pi^2}{GM}\)
where,
T = Time Period of Moon = ?
R = Orbital Radius = 3.84 x 10⁸ m
G = Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
M = Mass of Earth = 5.97 x 10²⁴ kg
Therefore,
\(\frac{T^2}{(3.84\ x\ 10^8\ m)^3}=\frac{4\pi^2}{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(5.97\ x\ 10^{24}\ kg)}\\\\T^2=(9.91\ x\ 10^{-14}\ s^2/m^3)(56.62\ x\ 10^{24}\ m^3)\\\\T=\sqrt{561.34\ x\ 10^{10}\ s^2}\)
T = 2.37 x 10⁶ s\((\frac{1\ h}{3600\ s})\)
T = 658 hr
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The attached picture shows the derivation of the formula for orbital speed.
Suzy drives 10 miles north then drives 24 miles west. What is her total distance traveled?
Answer:
34
Explanation:
Which charge has the strongest force acting on it?
11hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Explanation:
Which device is not used to effectively fly lower more stable approach speeds?a. Wingletsb. Vortex Generatorsc. Boundary Layer Controld. Trailing Edge Flapse. None of the above
The device that is not used to effectively fly lower more stable approach speeds is a. Winglets.
Vortex generators and trailing edge flaps are both used to improve low-speed performance and stability by manipulating the airflow over the wings. Vortex generators produce small vortices that help to energize the boundary layer and prevent airflow separation while trailing edge flaps increase the lift generated by the wing by increasing its camber. Both of these devices can help to improve the aircraft's ability to take off and land at lower speeds and with greater control. Boundary layer control involves using active methods such as suction or blowing to maintain a thin boundary layer and reduce drag. This can improve performance at low speeds by reducing the separation of the airflow from the wing and decreasing the drag on the aircraft. Winglets, on the other hand, are vertical extensions at the wingtips that reduce the drag generated by wingtip vortices at higher speeds. By reducing the drag, winglets can improve fuel efficiency and range, but they do not significantly affect the approach speeds or low-speed performance of the aircraft.
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Ferris wheel has a diameter of 76 m and completed one revolution every 20 min.
a)Calculate the tangential speed the car
b) Calculate the magnitude to the centripetal acceleration of one of the car
The tangential speed of a point on the Ferris wheel is approximately 2.01 m/s. the magnitude of the centripetal acceleration of a point on the Ferris wheel is approximately 0.106 m/s².
The tangential speed of a point on the Ferris wheel is given by the formula:
v = (2πr) / T
where v is the tangential speed, r is the radius of the Ferris wheel (half the diameter), and T is the time taken to complete one revolution.
In this case, the diameter of the Ferris wheel is 76 m, so its radius is 38 m. It completes one revolution every 20 min, so the time taken is T = 20 min = 1200 s. Substituting these values in the formula, we get:
v = (2π × 38 m) / 1200 s
≈ 2.01 m/s
The centripetal acceleration of a point on the Ferris wheel is given by the formula:
a = v² / r
where a is the magnitude of the centripetal acceleration, v is the tangential speed, and r is the radius of the Ferris wheel.
In this case, we have already calculated the tangential speed to be approximately 2.01 m/s, and the radius of the Ferris wheel is 38 m. Substituting these values in the formula, we get:
a = (2.01 m/s)² / 38 m
≈ 0.106 m/s²
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Glider A is pulled by a string across a level, frictionless table. The string exerts a constant, horizontal force. 1. How does the net work done on A in moving through a distance 2d compare to the net work done on A in moving through a distance d? Explain. Assume A starts from rest. Find the ratio of the speed after A has moved a distance 2d to the speed of A after moving a distance d. Explain. 2. A string pulls glider B across a frictionless table. The string exerts the same force on B as did the string on A. The mass of B is greater than that of A. Both start from rest. After each has been pulled a distance d, is the kinetic energy of A greater than, less than, or equal to the kinetic energy of B? Explain.
1 ) The ratio of the speed of A after moving a distance 2d to the speed of A after moving a distance d is sqrt(2), which means that the speed of A after moving a distance 2d is about 1.4 times the speed of A after moving a distance d.
2 ) the force applied to both gliders is the same, they both gain the same amount of kinetic energy. However, since the mass of B is greater than the mass of A, its final velocity after being pulled a distance d will be less than that of A. Therefore, the kinetic energy of B will be less than that of A after they have both been pulled a distance d.
1 ) The net work done on glider A in moving through a distance 2d is twice the net work done in moving through a distance d. This is because work is directly proportional to the distance over which the force is applied, and the force remains constant in this scenario. Therefore, if the distance is doubled, the work done is also doubled.
The ratio of the speed of A after moving a distance 2d to the speed of A after moving a distance d can be found by using the work-energy theorem, which states that the net work done on an object is equal to its change in kinetic energy. Assuming A starts from rest, the initial kinetic energy is zero, and the work done is equal to the final kinetic energy:
W = ΔKE
where W is the work done, and ΔKE is the change in kinetic energy.
The work done in moving A a distance d is:
W1 = Fd
where F is the force exerted on A by the string. The kinetic energy of A after moving a distance d is:
KE1 = W1 = Fd
The work done in moving A a distance 2d is:
W2 = 2Fd
The kinetic energy of A after moving a distance 2d is:
KE2 = W2 = 2Fd
The ratio of the speed of A after moving a distance 2d to the speed of A after moving a distance d can be found by equating the kinetic energy expressions:
2Fd = 1/2mv^2, where m is the mass of A and v is the final velocity of A after moving a distance 2d.
Fd = 1/8mv^2, where m is the mass of A and v is the final velocity of A after moving a distance d.
Dividing the second equation by the first, we get:
v2/v1 = sqrt(2)
Therefore, the ratio of the speed of A after moving a distance 2d to the speed of A after moving a distance d is sqrt(2), which means that the speed of A after moving a distance 2d is about 1.4 times the speed of A after moving a distance d.
2) The work done on both gliders B and A is the same since the force applied to them is the same. However, the kinetic energy of B is greater than that of A after each has been pulled a distance d. This is because the kinetic energy of an object is directly proportional to the mass of the object and the square of its velocity, according to the formula KE = 1/2mv^2.
Since the force applied to both gliders is the same, they both gain the same amount of kinetic energy. However, since the mass of B is greater than the mass of A, its final velocity after being pulled a distance d will be less than that of A. Therefore, the kinetic energy of B will be less than that of A after they have both been pulled a distance d.
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Light is incident at an angle of 45 degrees on the surface of a diamond. The index of refraction of diamond is 2.42. Recall that the index of refraction for air is n↓air = 1. Find the angle of refraction. Answer in units of degrees
Answer:
The angle of refraction is approximately 17.41 degrees.
Explanation:
To find the angle of refraction, we can use Snell's law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the indices of refraction of the two media.
The formula is:
n₁ * sin(θ₁) = n₂ * sin(θ₂)
Given:
n₁ (index of refraction of air) = 1
n₂ (index of refraction of diamond) = 2.42
θ₁ (angle of incidence) = 45 degrees
Substituting the values into the formula, we have:
1 * sin(45°) = 2.42 * sin(θ₂)
sin(45°) is equal to √2 / 2, so the equation becomes:
(√2 / 2) = 2.42 * sin(θ₂)
Now we can solve for sin(θ₂):
sin(θ₂) = (√2 / 2) / 2.42
sin(θ₂) ≈ 0.2901
To find the angle of refraction, we take the inverse sine (sin⁻¹) of the value:
θ₂ ≈ sin⁻¹(0.2901)
θ₂ ≈ 17.41 degrees
Therefore, the angle of refraction is approximately 17.41 degrees.
In which scenario below does the ball have more gravitational potential energy when sitting at the top?
Why?
A. The ball
travels up
the stairs
to a
height of
3 ft.
B. The ball
travels straight
up the column
to a height of 3
ft.
In both the cases gravitational potential energy is same.
What is gravitational potential?Gravitational potential energy is energy an object possesses because of its position in a gravitational field. The most common use of gravitational potential energy is for an object near the surface of the Earth where the gravitational acceleration can be assumed to be constant at about 9.8 m/s².
Given two cases height of the top is 3 ft so the potential energy is same as potential energy is dependent on height of the ball.
In both the cases gravitational potential energy is same.
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determine the ratio of rotational kinetic energy to linear kinetic energy for a solid sphere of mass m and radius r that is rolling along a horizontal surface without slipping at a linear velocity v. group of answer choices 2/5 1/4 1/2 1/1
a solid sphere with mass m and radius, calculate the rotating angular momentum to linear angular momentum ratio. So, the aforementioned strategy is appropriate. = 2.4 J
What else could you use to describe determine?Determine has a number of popular synonyms, including resolve, decide, rule, and settle. All of these phrases refer to "coming to or causing to come to conclusions," but the word "determine" refers to settling on something's identity, style, scope, or direction. identified the issue's root source.
Calculation
Kinetic energy
According to the question,
Total Kinetic energy, KE' = 8.4 J
Mass, m = 3 kg
Center of mass's velocity, v = 2 m/s
Now,
KE(trans) = mv²
By substituting the values,
= × 3 × (2)²
= × 3 × 4
= 6 kgm³/s² or,
= 6 J
We know the relation,
→ KE(rot) = KE(total) - KE(trans)
By putting the values,
= 8.4 - 6
= 2.4 J
Thus the approach above is correct.
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Calculate the angular separation θ1 at which two point sources of wavelength 600 nanometers are just resolved when viewed through a circular aperture of diameter 1. 5 centimeters.
The angular separation is \(4.88 * 10^{-5} rad\)
What is angular distance formula?
The formula is θ=s/r, where, θ is Angular Displacement, s is the distance traveled by the body, and. r is the radius of the circle along which it is moving.
What is meant by angular resolution?
The angular resolving power (or resolution) of a telescope is the smallest angle between close objects that can be seen clearly to be separate. Resolution is limited by the wave nature of light.
The angular separation is calculated as given below.
θ = 1.220 λ/d
Where λ is the wavelength and d is the diameter of the lens aperture.
θ1 = \(1.220 * \frac{600 * 10^{-9} }{1.5 * 10^{-2} }\)
= 4.88 × \(10^{-5}\) rad
Therefore, The angular separation is 4.88 × \(10^{-5}\) rad.
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Sound waves with a constant frequency of 250 hertz are traveling through air at stp. what is the wavelength of the sound waves
Answer:
wave length is 1.2m
Explanation:
since formula of wave length is v/f
v(speed of sound in air at stp is 300ms^-1)
f(frequency 250hertz)
then wave length is 300÷250 which give 1.2m
Sound waves with a constant frequency of 250 hertz are traveling through air at stp. what is the wavelength of the sound waves is 1.32 m.
What is wave ?Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.
Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform. There are two types of the wave longitudinal wave and transverse wave. Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave. Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave.
speed of the wave,
c = νλ
330 m/s = 250λ
λ = 330/250 = 1.32 m
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