A circular saw blade with a diameter of 9 inches rotates at 2800 revolutions per minute. Find the angular speed of the blade in radians per second. 7. A windmill has blades that are 14 feet long. If the windmill is rotating at 5 revolutions per second, find the linear speed of the tips of the blades in miles per hour. The linear speed, v, can also be found as follows: find the dicto (3) 6 cuche by time TG y= -3-0-00 |=|rw| Convert infit Convert msec Therefore, you can use the angular speed, w, to find the linear speed, v. 8. A ceiling fan with 25-inch blades rotates at 40 rpm. Find the linear speed of the tips of the blades in feet per second. C= 2tr S=2(25)/(40) 2000 πT in Imante 1 St . • = 2000 T Jormule 60 sec 12:n 2000 TT ft - 2000 TT = 8.7 84/5 1-60.12 SC 720 9. Ryan is riding a bicycle whose wheels are 28 inches in diameter. If the wheels rotate at 130 rpm, find the linear speed in miles per hour in which he is traveling.

The thermal energy transfer will occur by convection from the aluminium to the beaker.

Thermal energy can be defined as the energy held in a system that is accountable for the overall temperature of the system.

Conduction is the process by which heat energy is transferred from one material or substance to another.

Convection is the transfer of heat in the fluid medium. e.g when a fluid is heated, heat energy is transferred into the fluid which causes a rise in the temperature of the fluid.

Since water is a fluid medium, the thermal energy transfer will occur by convection from the aluminium to the beaker.

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Answer:

a = 16 m/s²

General Formulas and Concepts:

Dynamics

Newton's Law of Motions

Explanation:

Step 1: Define

Identify variables

[Given] F = 22000 N

[Given] m = 1375 kg

[Solve] a

Step 2: Find Acceleration

Answer:

1 hours will be the best answer

The time taken for a sample to reduce by 98% is 33.86 hrs.

Half life is the time taken by a radioactive material for the radioactivity of to reduce by half its original value.

The half life equation is:

A = A₀ (½)^(t / T)

where A is the final amount, A₀ is the initial amount, t is the amount of time, and T is the half life.

Given is the half-life of a radioisotope is 6.0 hours and activity of a sample to be reduced by 98%.

Final amount will be 1 - 0.98 = 0.02

Substituting the values, we get

0.02 = 1 (½)^(t / 6)

t = 6 {log(1/0.02)/log2}

t = 33.86 hrs

Thus, time taken is 33.86 hrs.

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To calculate the velocity of the car in m/s, we first need to convert the initial velocity from km/h to m/s.

90 km/h = (90 x 1000) / 3600 m/s = 25 m/s (rounded to the nearest whole number)

Next, we can use the formula for velocity:

v = u + at

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken. Since the car comes to a stop, the final velocity is zero. The acceleration can be calculated using the formula:

a = (v-u)/t = (0 - 25)/1.5 = -16.67 m/s²

Substituting the values into the first formula, we get:

0 = 25 + (-16.67) x t

Solving for t, we get:

t = 1.5 seconds

Therefore, the velocity of the car in m/s is zero, since it comes to a complete stop.

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Explanation:

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To calculate the maximum displacement of air molecules when a 440-hz sound wave passes with an intensity of 120 dB, we can use the formula:

Maximum displacement = (Pressure amplitude / Atmospheric pressure) x (2 / Pi) x (1 / Frequency)

At the threshold of pain, the sound wave has an intensity of 120 dB, which corresponds to a pressure amplitude of 20 Pa. The atmospheric pressure at sea level is around 101325 Pa.

Plugging in the values, we get:

Maximum displacement = (20 / 101325) x (2 / Pi) x (1 / 440)
Maximum displacement = 2.6 x 10^-8 meters

Therefore, the maximum displacement of air molecules when a 440-hz sound wave passes with an intensity of 120 dB is 2.6 x 10^-8 meters.

To find the pressure amplitude in the wave, we can use the formula:

Pressure amplitude = 10^(Intensity / 20) x Atmospheric pressure

Plugging in the values, we get:

Pressure amplitude = 10^(120 / 20) x 101325
Pressure amplitude = 20 Pa

Therefore, the pressure amplitude in the 440-hz sound wave with an intensity of 120 dB is 20 Pa.

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Total momentum before collision = (1 kg * 10 m/s) + (2 kg * -5 m/s) + (3 kg * 3 m/s) = 10 kg m/s - 10 kg m/s + 9 kg m/s = 9 kg m/s

What is Collision?

A collision occurs when two or more objects come into contact with each other, and as a result, they exchange energy, momentum, and/or other physical quantities. Collisions can be either elastic or inelastic, depending on whether or not there is a loss of kinetic energy during the interaction.

To calculate the total momentum of trolleys before a collision, you need to multiply the mass of each trolley by its velocity and add up the results. The equation for momentum is:

p = m * v

where p is momentum, m is mass, and v is velocity.

Here are some examples:

Example 1:

Trolley 1: Mass = 2 kg, Velocity = 4 m/s

Trolley 2: Mass = 3 kg, Velocity = -2 m/s

Total momentum before collision = (2 kg * 4 m/s) + (3 kg * -2 m/s) = 8 kg m/s - 6 kg m/s = 2 kg m/s

Example 2:

Trolley 1: Mass = 5 kg, Velocity = 2 m/s

Trolley 2: Mass = 5 kg, Velocity = -1 m/s

Total momentum before collision = (5 kg * 2 m/s) + (5 kg * -1 m/s) = 10 kg m/s - 5 kg m/s = 5 kg m/s

Example 3:

Trolley 1: Mass = 1 kg, Velocity = 10 m/s

Trolley 2: Mass = 2 kg, Velocity = -5 m/s

Trolley 3: Mass = 3 kg, Velocity = 3 m/s

Total momentum before collision = (1 kg * 10 m/s) + (2 kg * -5 m/s) + (3 kg * 3 m/s) = 10 kg m/s - 10 kg m/s + 9 kg m/s = 9 kg m/s

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a) The speed of light in the glass is the same as the speed of light in a vacuum, which is around 3x10⁸ m/s ; b) There are 1.00 mm / 4x10⁻⁷ m = 2.5 million wavelengths of the light inside the glass slide.

a.) The speed of light in glass is typically slower than the speed of light in a vacuum. The refractive index of glass is typically around 1.5, which means that the speed of light in glass is around 2x10⁸ m/s. However, we can use Snell's law to calculate the exact speed of light in this particular glass microscope slide. Snell's law 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. Since the incident light is coming from air, which has an index of refraction of 1, and entering the glass slide, which has an index of refraction of around 1.5, we can use the following equation:

sin(incident angle)/sin(refracted angle) = n(glass)/n(air)
sin(incident angle)/sin(refracted angle) = 1.5/1
sin(incident angle)/sin(refracted angle) = 1.5

We don't know the angle of incidence or refraction, but we do know that they are equal because the light is entering the slide perpendicular to its surface (i.e. at 90 degrees). This means that sin(incident angle) = sin(refracted angle), and we can simplify the equation to:

sin(incident angle)/sin(incident angle) = 1.5
1 = 1.5

This is obviously not true, so there must be a mistake somewhere. The mistake is that we assumed the incident angle was 90 degrees, but it is actually given by the problem as being 0 degrees (i.e. the light is entering perpendicular to the surface). This means that the incident angle is equal to the refracted angle, and we can use Snell's law again to find the speed of light in the glass:

sin(0)/sin(refracted angle) = 1.5/1
0/sin(refracted angle) = 1.5
sin(refracted angle) = 0
refracted angle = 0

This means that the light does not refract (i.e. bend) as it enters the glass, but instead continues in a straight line. Therefore, the speed of light in the glass is the same as the speed of light in a vacuum, which is around 3x10⁸ m/s.

b.) The wavelength of the incident light is given as 600 nm, or 6x10⁻⁷ m. To find how many wavelengths of the light are inside the 1.00 mm thick glass slide, we need to know the refractive index of the glass (which we already found to be around 1.5) and the angle of incidence (which we know to be 0 degrees). We can use the following equation:

wavelength inside glass = wavelength in air / refractive index of glass

wavelength inside glass = 6x10⁻⁷ m / 1.5
wavelength inside glass = 4x10⁻⁷ m

This means that there are 1.00 mm / 4x10⁻⁷ m = 2.5 million wavelengths of the light inside the glass slide.

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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.

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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The atmosphere of the (b) Earth is primary, as opposed to secondary, in origin.

The Earth's atmosphere is predominantly composed of nitrogen, oxygen, and trace amounts of other gases. It has been formed and modified over billions of years through various processes, including outgassing from volcanic activity, chemical reactions involving elements present during the planet's formation, and biological activity.

On the other hand, the atmospheres of Venus, Saturn's moon Titan, Saturn, and Mars are considered secondary in origin. These bodies have atmospheres that have been significantly influenced by processes such as volcanic outgassing, atmospheric escape, and interaction with solar radiation and particles.

Their atmospheres may contain different compositions and properties compared to the Earth's atmosphere. Therefore, the correct answer is (b) Earth.

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False.

Thermal energy is usually transferred in fluids by convection, which is the transfer of heat through the movement of fluids (such as liquids or gases).

What is Thermal Energy?

Thermal energy is the energy that is generated by the movement of atoms or molecules within a substance. It is a form of kinetic energy that is related to the temperature of the substance, and it is transferred from one object to another as a result of a temperature difference.

Convection occurs when a warmer fluid or object is in contact with a cooler fluid or object, causing the warmer fluid to transfer its thermal energy to the cooler one.

Radiation, on the other hand, is the transfer of thermal energy through electromagnetic waves, and it can occur in fluids as well as in solids and gases. However, radiation is generally less efficient in fluids than in solids or gases, and it is not the primary method of thermal energy transfer in fluids.

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Answer: the first one is speed

the second one is acceleration

the last is velocity

Explanation:

i got you

Answer:

Explanation:

To calculate the energy density of the wire, we need to first calculate the strain energy stored in the wire.

The strain energy stored in the wire can be calculated using the formula:

U = (1/2) * F * deltaL

where U is the strain energy, F is the applied force, and deltaL is the change in length of the wire.

Here, the applied force is 200 N, and the change in length of the wire is 1.5 mm = 0.0015 m.

So, the strain energy stored in the wire is:

U = (1/2) * 200 N * 0.0015 m = 0.15 J

Now, we need to calculate the volume of the wire to determine the energy density.

The volume of the wire can be calculated using the formula for the volume of a cylinder:

V = pi * r^2 * L

where V is the volume, r is the radius, and L is the length of the wire.

Here, the radius of the wire is 1 mm = 0.001 m, and the length of the wire is 10 m.

So, the volume of the wire is:

V = pi * (0.001 m)^2 * 10 m = 7.853 x 10^-6 m^3

Finally, we can calculate the energy density of the wire using the formula:

Energy density = Strain energy / Volume

Energy density = 0.15 J / 7.853 x 10^-6 m^3

Energy density = 19,102,077.34 J/m^3

Therefore, the energy density of the copper wire is 19,102,077.34 J/m^3.

PLS MARK ME BRAINLIEST

Answer:

Electric flux;

Φ = 30.095 × 10⁴ N.m²/C

Explanation:

We are given;

Charge on plate; q = 17 µC = 17 × 10^(-6) C

Area of the plates; A_p = 180 cm² = 180 × 10^(-4) m²

Angle between the normal of the area and electric field; θ = 4°

Radius;r = 3 cm = 3 × 10^(-2) m = 0.03 m

Permittivity of free space;ε_o = 8.85 × 10^(-12) C²/N.m²

The charge density on the plate is given by the formula;

σ = q/A_p

Thus;

σ = (17 × 10^(-6))/(180 × 10^(-4))

σ = 0.944 × 10^(-3) C/m²

Also, the electric field is given by the formula;

E = σ/ε_o

E = (0.944 × 10^(-3))/(8.85 × 10^(-12))

E = 1.067 × 10^(8) N/C

Now, the formula for electric flux for uniform electric field is given as;

Φ = EAcos θ

Where A = πr² = π × 0.03² = 9π × 10^(-4) m²

Thus;

Φ = 1.067 × 10^(8) × 9π × 10^(-4) × cos 4

Φ = 30.095 × 10⁴ N.m²/C

The angular velocity of the ride, is 3.64 x 10⁻³rad/s.

The centripetal acceleration of the rider is 31.3 x 10⁻⁶rad/s².

The centripetal force exerted on the rider is 2.1 x 10⁻³N.

a) Number of revolutions, n = 1

Time taken for this revolution, t = 43.7 s

Therefore, the angular velocity of the ride,

ω = n/2πt

ω = 1/(2 x 3.14 x 43.7)

ω = 3.64 x 10⁻³rad/s

b) The expression for the centripetal acceleration of the rider is given by,

a' = rω²

a' = 2.35 x (3.64 x 10⁻³)²

a' = 2.35 x 13.3 x 10⁻⁶

a' = 31.3 x 10⁻⁶rad/s²

c) Mass of the rider, m = 67 kg

So,

The centripetal force exerted on the rider is,

F' = ma'

F' = 67 x 31.3 x 10⁻⁶

F' = 2.1 x 10⁻³N

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The most simplified form of the law of conservation of energy that describes the motion of a block sliding from the top of a table to the bottom of a ramp is:1/2mv^2i + mghi = 1/2mv^2f + mghf

In this equation, the terms represent different forms of energy. Let's break it down:

- 1/2mv^2i represents the initial kinetic energy of the block, where m is the mass of the block and vi is its initial velocity.

- mghi represents the initial potential energy of the block, where m is the mass, g is the acceleration due to gravity, and hi is the initial height of the block.

- 1/2mv^2f represents the final kinetic energy of the block, where vf is its final velocity.

- mghf represents the final potential energy of the block, where hf is the final height of the block.

This equation states that the sum of the initial kinetic energy and the initial potential energy of the block is equal to the sum of its final kinetic energy and final potential energy.

It implies that energy is conserved throughout the motion, with no energy lost or gained, neglecting any non-conservative forces or work done by friction (Wnc).

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HEY HEY HEY HEY

Explanation:

HEY HEY HEY HEY HEY

The instantaneous speed of the point of the disk that makes contact with the surface is zero m/s (Option A).

To determine the instantaneous speed of the point of the disk that makes contact with the surface, we must consider the following terms:

The answer to the question is A) zero m/s. The reason for this is that the point of contact between the disk and the surface is stationary for an instant, as it constantly changes due to the rotation of the disk. At that specific moment, the instantaneous speed of the point of contact is zero.

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The required experimental percent error when boiling points of the liquid are given is calculated to be 8.33 %.

The student has performed the experiment to find out the boiling point of a liquid.

The experimental boiling point of the liquid is given as 72.

The actual boiling point of the liquid is given as 78.

Let us calculate the experimental percentage error.

The formula for experimental percentage error is known to be,

⇒ (Actual value - True value)/True value × 100 % = (78 - 72)/72 × 100 % = 8.33 %

Thus, the required experimental percent error is calculated to be 8.33 %.

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If the reciprocal of time since the Big Bang was 100 km/s/Mpc, the universe would be approximately 9.8 billion years old.

To calculate the answer, we must first understand what the reciprocal of the time since the Big Bang means. Essentially, reciprocal in this case means the opposite, or the inverse, of the time since the Big Bang. This reciprocal time is the distance that light can travel in a second, which is known as the speed of light.

Therefore, the answer is calculated by dividing the speed of light by the reciprocal to get the amount of time (in seconds) which the light has traveled, and then converting that to years for a more useful answer. We can simplify this process to calculations of multiplication and subtraction, which easily reveals the answer of 9.8 billion years.

All in all, the calculation of this answer requires a thorough understanding of the reciprocal of the time since the Big Bang, as well as an accurate calculation of conversion from seconds to years.

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Answer:

The car moving with speed 50 mph

Explanation:

We are given that

Distance, s=280 feet=85.3 m

1 feet=0.3048 m

Coefficient of kinetic friction=\(\mu_s=0.3\)

1 m/s=2.237 mph

We have to find the speed of car moving.

Speed, v=\(\sqrt{2\mu_s gs}\)

Where \(g=9.8ms^{-2}\)

Using the formula

Speed of the car,v=\(\sqrt{2\times 0.3\times 9.8\times 85.3}\)

Speed of the car,v=22.4 m/s

Speed of the car, v=\(22.4\times 2.237\approx 50 mph\)

Hence, the car moving with speed 50 mph

Option  d is true.

Answer:

The force makes it go slower or faster depending on it's mass.

Explanation:

Force = mass times acceleration

Answer:

The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.

Answer:

you get struck by lightning

Explanation:

hide in ur house

The force exerted at the large piston will be double in magnitude in comparison with the force applied at the smaller piston.

We know, according to the pascal's law,

The pressure applied at any point in the incompressible fluid is equal in magnitude at each and every point.

So,

P = Force/Area

Where P is pressure,

If pressure is same, then we can write,

F₁/A₁ = F₂/A₂

Where,

F₁ is the force applied at the small piston,

A₁ is the area of the smaller piston,

F₂ is the force at the larger piston,

A₂ is the area of the larger piston,

It is also given that, area if the larger piston is two times the area of the smaller piston so,

A₂ = 2A₁

So, putting the values we get,

F₂/F₁ = 2

So, F₂ = 2F₁

It means that the force exerted by the larger piston will be double in magnitude.

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Answer:

All of the above

Explanation:

Solids have a fixed shape and volume.

Even though the molecules in a solid are vibrating, they can't travel from one part of the solid to the other.

I hope this helps! :)

False.The container's volume has shrunk, which reduces the distance the gas molecules must travel before colliding.As a result, there will be more collisions every second, which will raise the pressure.

The gas particles have much less room to move about in a container if the volume is reduced.They will thus hit the container walls more frequently, which raises the pressure.

The average difference between molecules increases and the density of a gas (count of particles per cubic meter) decreases as a particular gas sample is permitted to occupy a greater volume. The speed of a molecules remains constant.The molecules must therefore move farther apart on average before colliding.

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The angular magnification of the eyepiece is approximately 1750.

The lateral magnification (M_obj) of the objective lens is given as 1000X, which means the image formed by the objective lens is 1000 times larger than the actual object.

To find the angular magnification (M_eyepiece) of the eyepiece, we can use the formula:

M_eyepiece = (θ_apparent)/(θ_actual)

Given that the apparent size of the mineral crystal (θ_apparent) is 7.0 mm and the actual size of the crystal is 2.0 micrometers (2.0 μm = 2.0 x 10⁻³ mm), we can substitute these values into the formula:

M_eyepiece = (θ_apparent)/(θ_actual)

= (7.0 mm)/(2.0 μm)

Since 1 μm = 10⁻³ mm:

M_eyepiece = (7.0 mm)/(2.0 x 10⁻³ mm)

= (7.0 mm) x (10³)/(2.0 mm)

= 7.0 x 10³/2.0

= 3500/2.0

= 1750

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Answer:

The Photosphere

Explanation:

It's photosphere is the sun's area that lights .  This layer is responsible for nearly all of the Sun's light. 

Answer:

The photosphere

Explanation:

The light we see from the sun comes from the photosphere.