A boat's propeller has a rotational inertia of 4. 0 kg · mº. After a constant torque is applied for 12 s, the


rad


rad


propeller's angular speed changes from a clockwise 6. 0 to a counterclockwise 6. 0


S


S


What was the torque applied to the propeller?

Answers

Answer 1

The equation to calculate torque applied to a propeller is \(\Delta\omega = (\tau\Delta t) / I\). Using this equation, the torque applied to a propeller is found to be 5.3 N-m when the change in angular velocity is 16 rad/s, the time interval is 12 s, and the rotational inertia is 4 kg-m².

The torque applied to the propeller can be determined using the equation:

\(\Delta\omega = (\tau\Delta t) / I\)

where \(\Delta\omega\) is the change in angular velocity, τ is the torque applied, Δt is the time interval, and I is the rotational inertia.

The change in angular velocity is 8 - (-8) = 16 rad/s. Substituting the given values, we get:

\(16 rad/s = (\tau \times 12 s) / 4 kg-m^2\)

Solving for τ, we get:

\(\tau = (16 rad/s \times 4 kg-m^2) / 12 s\)

\(\tau\) = 5.3 N-m

Therefore, the torque applied to the propeller is 5.3 N-m.

In summary, the torque applied to the boat's propeller can be determined using the formula \(\Delta\omega = (\tau\Delta t) / I\), where \(\Delta\omega\) is the change in angular velocity, \(\tau\) is the torque applied, \(\Delta t\) is the time interval, and I is the rotational inertia.

Substituting the given values and solving for \(\tau\), we get the torque applied to be 5.3 N-m. Therefore, option B is the correct answer.

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Complete Question:

A boat's propeller has a rotational inertia of 4 kg-m2. After a constant torque is applied for 12s, the propeller's angular speed changes from a clockwise 8 rad/s to counter-clock wise 8 rad/s. What was the torque applied to the propeller?

A. 4.3 N-m

B. 5.3 N-m

C. 6.3 N-m

D. 7.3 N-m


Related Questions

A car is said to go "zero to sixty in six point six
seconds" (0 to 60 mph in 6.6 seconds). What is its
acceleration in m/s??

Answers

60m / 6.6s = 9.09 m/s

how much faster will a car be going if it accelerates at 1 m/s/s for a total of 60 seconds.

Answers

Answer:

Vf = 60 [m/s]

Explanation:

To solve this problem we must use the following equation of kinematics.

\(v_{f}= v_{i}+(a*t)\)

where:

Vf = final velocity [m/s]

Vi = initial velocity = 0

a = acceleration = 1 [m/s^2]

t = time = 60 [m]

Now replacing:

Vf = 0 + (1*60)

Vf = 60 [m/s]

Some refrigerators use 600 W of electrical power. If the current in the outlet is 20 A, what voltage is needed? Source StylesFormatFontSize

Answers

The value of the voltage needed in the circuit is 30 V.

What is the voltage of the source?

The voltage of the source is calculated by applying ohm's law. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing across the conductor.

Mathematically, the formula for the relationship between voltage, power and current is given as;

P = IV

V = ( P ) / ( I )

where;

V is the voltage across the circuitP is the power supplied in the circuitI is the current flowing in the circuit

The value of the voltage needed in the circuit is calculated as follows;

V = ( 600 W ) / ( 20 A )

V = 30 volts

Thus, the voltage needed in the circuit is a function of the power supplied in the circuit and the current flowing in the circuit.

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Se sumerge en agua un cubo de un material que tiene una densidad de 0,2Kg/lt, y una

Arista de 9cm. Calcula: La parte del cubo que flota y la parte que se hunde.

a. 18% y 21%

b. 20% y 25%

c. 20% y 26.8%

d. 25% y 31%

Answers

Answer:

The percentage of the cube that floats = 80%

The percentage of the cube that sinks =20%

Explanation:

Given that the density of the cube material, \(\rho= 0.2 kg/l\)

Length of the sides of the cube, \(a= 9 cm\)

So, the volume of the cube, \(v=a^3=(9cm)^3=729 cm^3\)

As \(1000cm^3= 1 l,\)

so the volume of the cube \(v= 729/1000 l = 0.729 l.\)

Hence, the mass of the cube, \(m=\fho v = 0.2 \times 0.729 = 0.1458 kg\).

The gravitational force acting on the cube in the downward direction,

\(F_c= mg\) [g is the acceleration due to gravity]

\(\Rightarrow F_g=0.1458g\) Newtons ...(i)

At equilibrium condition, let x cm of the cube sinks in the water.

So, the volume of the water replaces,

\(v_w=9\times 9\times x = 81x cm^3.\)

Or, \(v_w= 81 x/ 1000 l = 0.081x l\)

The density of the water, \(\rho_w= 1 kg/l\)

So, the mass of water replaced,

\(m_w= \rho_w v_w = 1\times 0.081x= 0.081x kg.\)

Now, the buoyancy force acting on the cube in the upward direction,

\(F_b = m_w \times g\) [ g is the acceleration due to gravity]

\(\Rightarrow F_b= 0.081x\times g\) Newtons ...(ii)

At equilibrium condition, the gravitational force acting on the cube in the downward direction is equal to the buoyancy force acting on the cube in the upward direction, so by from equations (i) and (ii), we have,

\(F_g= F_b\\\\\Rightarrow 0.1458g = 0.081x\times g \\\\\Rightarrow 0.081x=0.1458 \\\\\Rightarrow x= 0.1458/0.081 = 1.8 cm\).

So, the part of the cube that sinks = 1.8 cm

As the remaining portion of the cube is floating, so the part of the cube that floats \(= 9-1.8= 7.2 cm\).

The percentage of the cube that floats

= \(\frac {7.2}{9}\times 100 = 80\%\)

The percentage of the cube that sinks

\(= \frac {1.8}{9}\times 100 = 20\%\)

Please note that none of the given options are correct.

a battery of 5v and internal resistance of 5 ohms is connected to a resistor of 20 ohms. calculate the value of terminal voltage

Answers

Answer:

A bird flies 75m in 15s.Calculate its speed

What is the maximum speed when the conditions are mass =450 kg, initial height= 30 m, and the roller coaster is initially at rest?

A. 30 m/s
B. 24.2 m/s
C. 93.9 m/s
D. 132, 300 m/s

Answers

Answer:

B. 24.2 m/s

Explanation:

Given;

mass of the roller coaster, m = 450 kg

height of the roller coaster, h = 30 m

The maximum potential energy of the roller coaster  due to its height is given by;

\(P.E_{max} = mgh\\\\PE_{max} = 450 *9.8*30\\\\PE_{max} = 132,300 \ J\)

\(P.E_{max} = K.E_{max} \ (law \ of \ conservation\ of \ energy)\)

\(K.E_{max} = \frac{1}{2}mv_{max}^2\\\\ v_{max}^2 = \frac{2K.E_{max}}{m}\\\\ v_{max}^2 = \frac{2*132300}{450}\\\\ v_{max}^2 =588\\\\v_{max} = \sqrt{588}\\\\ v_{max} = 24.2 \ m/s\)

Therefore, the maximum speed of the roller coaster is 24.2 m/s.

Answer:

1. 24.2 m/s

2. 20.4 m

3. 22.5 m/s

4. 109,375 J

5. It is easy to calculate new scenarios.

Explanation:

5/5 on the Maximum Energy Quick Check

The slope of a distance-time graph will give

Answers

5.
explanation: the answer is 5

please help lol
im on my sisters acc btw

please help lolim on my sisters acc btw

Answers

Answer:

sitting leg curls= hamstring

shrugs=shoulders

machine curls=biceps

bench press= pectorals

active listening definition​

Answers

Answer:

Active listening is a technique that is used in counseling, training, and solving disputes or conflicts. It requires that the listener fully concentrate, understand, respond and then remember what is being said. This is opposed to other listening techniques like reflective listening and empathic listening.

Explanation:

what is the name of the phobias of space?

Answers

Answer:

Astrophobia

Explanation:

heop it help

The thymus gland plays an important role in the developing immune system of a child. It makes infection-fighting lymphocytes called
.

Answers

Answer:

give brainliest please

Explanation:

T- lymphocytes or T cells

Visible light occupies what position in the electromagnetic spectrum?
A) between radio and infrared radiation
B) between infrared and ultraviolet
C) between infrared and microwave
D) between ultraviolet and X rays

Answers

The position that visible light occupies lies between infrared and ultraviolet region. Option B is correct.

Visible light is a type of electromagnetic radiation that occupies the wavelength range between infrared and ultraviolet radiation. It has a wavelength range of approximately 400-700 nanometers (nm).

Electromagnetic radiation consists of waves of electric and magnetic fields that oscillate perpendicular to each other and travel through space. The electromagnetic spectrum encompasses all types of electromagnetic radiation, including radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

The different types of electromagnetic radiation are distinguished by their wavelength and frequency. Visible light is the only part of the electromagnetic spectrum that is visible to the human eye and is responsible for the colors we see in the world around us.

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A stone is propelled vertically off the ground. After it is released, which of the following are true? It’s total mechanical energy increases It’s total energy is proportional to its distance off the ground It’s kinetic energy decreases It’s gravitational energy increases

Answers

When a stone is propelled vertically off the ground its kinetic energy decreases and gravitational potential energy increases.

When an object is propelled upwards at first it have the highest kinetic energy. The total energy will be equal to kinetic energy and potential energy will be 0. When it reaches midway through the air, the kinetic energy gradually decreases and potential energy increases, because some of the kinetic energy is converted to gravitational potential energy.

When the object reaches the maximum height, the Kinetic energy will become 0, and object stops moving forward. Here all the kinetic energy i converted to gravitational potential energy. Potential energy will be maximum at this point. After this the object begins to fall attaining some kinetic energy.

So when an object is thrown vertically upwards, the kinetic energy decreases and gravitational energy increases. The total energy will remain constant throughout.

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During each cycle of operation, a refrigerator absorbs 257 j of heat from the freezer and expels 465 j of heat to the room. how much work input is required in each cycle?

Answers

Work input is required in each cycle w = 208j

Here can explain as ,according to the law of conservation of energy , the total heat given off the surrounding by a refrigerator is equal to the work done by the refrigerator and the heat removed from the inside of a refrigerator .i.e. the addition of heat removed or absorbs and work done by the refrigerator is equal to the heat expelled to the room during each cycle. It can be shown as ,

\(Q_{h}\) =\(Q_{c}\) + \(W\)

Where,

 \(W\) is work input of refrigerator during each cycle.

\(Q_{c}\) is the heat removed or absorbed by the refrigerator.

\(Q_{h}\) is heat expelled to the room during each cycle.

Given here,

\(Q_{c}\) =  257 j

\(Q_{h}\) =  465 j

Therefore from above equation can be find the value of work input by the refrigerator in each cycle,

\(W\) =\(Q_{h}\) - \(Q_{c}\)

w = (465 j) -(257 j)

w= 208j

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A box is sliding with a speed of 4.50 m/s4.50 m/s on a horizontal surface when, at point P�, it encounters a rough section. On the rough section, the coefficient of friction is not constant, but starts at 0.1000.100 at P� and increases linearly with distance past P�, reaching a value of 0.6000.600 at 12.5 m12.5 � past point P�.A. Use the work-energy theorem to find how far this box slides before stopping.B. What is the coefficient of friction at the stopping point?C. How far would the box have slid if the friction coefficient didn't increase, but instead had the constant value of 0.1000.100?

Answers

A) The box slides for a distance of 10.23 meters before stopping.

B) The coefficient of friction at the stopping point is 0.432.

C) If the coefficient of friction were constant at 0.1, the box would slide for a distance of 10.84 meters.

A) The force of friction acting on the box is given by:

f = μmg,

where μ is the coefficient of friction, m is the mass of the box, and g is the acceleration due to gravity. The coefficient of friction varies linearly with distance past point P, and can be expressed as:

μ(x) = 0.1 + 0.04(x - 2),

where x is the distance from point P in meters.

The work done by the force of friction over a small distance dx is:

dW = f dx = (0.1 + 0.04(x - 2))mg dx.

The total work done by the force of friction from point P to the stopping point is the integral of dW over this distance range, which is given by:

W = ∫(0 to D) dW = ∫(0 to D) (0.1 + 0.04(x - 2))mg dx = (0.1mgD + 0.02mgD^2).

Using the work-energy theorem, we can equate the work done by the force of friction to the change in kinetic energy of the box:

W = ΔK = (1/2)mvf^2,

where vf is the final velocity of the box (zero, since it stops).

Solving for the distance D, we get:

D = vf^2 / 2(0.1mg + 0.02mgD) = (vf^2/2mg) / (0.1 + 0.02D).

Substituting the given values, we get:

D = (4.5^2 / 2*9.81) / (0.1 + 0.02D) = 10.23 m.

Therefore, the box slides for a distance of 10.23 meters before stopping.

B) To find the coefficient of friction at the stopping point, we can use the expression for μ(x) and substitute D = 10.23 m:

μ(D) = 0.1 + 0.04(D - 2) = 0.1 + 0.04(10.23 - 2) = 0.432.

Therefore, the coefficient of friction at the stopping point is 0.432.

C) If the coefficient of friction were constant at 0.1 throughout the rough section, the work done by the force of friction would simply be:

W = fD = 0.1mgD.

Using the work-energy theorem as before, we can equate this work to the change in kinetic energy of the box:

W = ΔK = (1/2)mvf^2.

Solving for D, we get:

D = vf^2 / 20.1g = (4.5^2 / 29.81×0.1) = 10.84 m.

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If I start with an 30 gram sample of Plutonium-244, how many grams would be left of Plutonium-244 after 1 half life

Answers

Answer:

15 g

Explanation:

Given,

Plutonium-244 = 30 g

We have to find the gram of Plutonium-244 left after 1 half-life.

We know that the half-life of a radioactive isotope is constant. The half-life of a Radioactive isotope does not depend on the initial amount of isotope.

Now,

After 1 half-life

Plutonium-244 left = \(\dfrac{30}{2}\)

                               = 15 g

Hence, 15 g of the Plutonium-244 will be left after 1 half-life.

NO LINKS!!!!!! Help its urgent, PLEASE HELP!!!!!!!!!!!!!!!!

NO LINKS!!!!!! Help its urgent, PLEASE HELP!!!!!!!!!!!!!!!!

Answers

Answer:

I think ur answer would be B

Explanation:

srry if wrong

hope this helps

Which of these is emitted during beta decay ?

A) high-energy electromagnetic radiation

B) a small neutral particle

C) a small charged particle

D) a positively charged helium nucleus

Answers

Answer:

C. a small charged particle.

Explanation:

typically beta radiation emits an electron which is a small negativity charged particle.

hope it helps. :)

Answer:

A small charged particle.

Explanation:

Calculate the area of a square with a length of 5cm

Answers

Answer:

25cm^2

Explanation:

area of square = side × side

length of side given = 5

area of this square = 5× 5

= 25cm^2

hope it helps

Answer:

25cm^2

Explanation:

A radio announcer's voice is transmitted via radio waves a distance of 998.25 km. How much time, in microseconds, will it take to transmit the wave over this distance?

Answers

A radio wave travels at the speed of light, which is equal to approximately 300,000 km/s.

So, to travel a distance of 998.25 km, the time needed is:

\(\begin{gathered} distance=speed\cdot time\\ \\ 998.25=300000\cdot time\\ \\ time=\frac{998.25}{300000}\\ \\ time=0.0033275\text{ seconds}\\ \\ time=3327.5\text{ microseconds} \end{gathered}\)

Therefore the time required is approximately 3327.5 microseconds.

how do you build a sticky piston door​

Answers

Answer:

it can be built in mine craft

Explanation:

Answer:

put 2 pistons on each side and then put the block you want the door to be and power it with redstone

___ devices need constant power to operate. The timing functions are initiated by the presence or absence of a separate ""trigger"" signal.

Answers

Answer:

Solid-state

Explanation:

A solid-state device can be defined as a crystalline material that is typically made up of semiconductor and as such controls the number and rate of flow of charged carriers such as holes or electrons.

Some examples of a solid-state device are light emitting diodes (LED), integrated circuit (IC), Transistors, liquid crystal display (LCD) etc.

A solid-state device such as a transistor, refers to a semiconductor component that is used to control the flow of voltage or current and as a gate (switch) for electronic signals. Thus, a transistor allows for the amplification, control and generation of electronic signals in a circuit.

Hence, solid-state devices need constant power to operate. The timing functions are initiated by the presence or absence of a separate "trigger" signal.

Basically, these solid-state devices use the optical and electrical properties of semiconductor components such as transistors, triacs, thyristors, diodes to perform its input-output switching and isolation functions.

If a device uses mains electricity at 230v and has a 13a fuse in the plug wht is the maximmum power it can safley use?

Answers

Answer:

2990W

Explanation:

Given parameters:

Voltage  = 230V

Current = 13A

Unknown:

Maximum power it can safely use  = ?

Solution:

To solve this problem;

       Power  = Current  x Voltage

     Power  = 230 x 13  = 2990W

Find the moment of inertia of a disc of radius 0.4m and mass 0.75 kg

Answers

The moment of inertia of the disc is equal to 0.12 Kg.m².

What is a Moment of Inertia?

Moment of inertia can be described as the quantity represented by the body resisting angular acceleration which is the sum of the multiplication of the mass with its square of a distance from the axis of rotation.  The moment of Inertia is the angular mass or rotational inertia and has S.I. unit kg.m².

In General form, the moment of Inertia is expressed as I = m.r²

Where m is the sum of the product of the mass and r is the distance from the axis of the rotation.

Given the radius of the disc, r = 0.4 m

The mass of the disc, m = 0.75 Kg

The moment of inertia of the given disc is:

I = m.r²

I = 0.75 ×(0.4)²

I = 0.12 Kg.m²

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A charge, q1 = +4. 00 MC, is at the origin, and a second charge, 92 =
-6. 00 MC, is on the x-axis 0. 300 m from the origin. Find the electric field at a point "+P" on the y-axis 0. 800 m from the origin. What is the net force on "p" (magnitude and direction)

Answers

The electric field at a point "+P" on the y-axis 0. 800 m from the origin is  53.3 N/C.  The net force on "p" (magnitude and direction) is 5.33 x 10^-5 N.

To find the electric field at point "p" on the y-axis, we can use Coulomb's law and the principle of superposition.

First, let's find the electric field contribution at point "p" due to the charge q1 at the origin. We can use Coulomb's law for point charges to find the electric field contribution:

E = k * q / r²

where k is Coulomb's constant, q is the charge, and r is the distance from q to point "p". In this case, r is simply the distance from the origin to point "p", which is 0.8 m. Plugging in the values:

E1 = (9.0 x 10⁹ N*m²/C²) * (+4.00 x 10-⁶ C) / (0.8 m)²

E1 = 18.0 N/C (upwards on the y-axis)

Similarly, the electric field contribution at point "p" due to the charge q2 on the x-axis and at a distance r2 can be calculated Using the Pythagorean theorem, we can find this distance:

r2 = √[(0.3 m)² + (0.8 m)²] = 0.854 m

Plugging in the values:

E2 = (9.0 x 10⁹ N*m²/C²) * (-6.00 x 10-⁶ C) / (0.854 m)²

E2 = 50.6 N/C (at an angle of arctan(0.8/0.3) = 69.4 degrees below the negative x-axis)

To find the total electric field at point "p", we add the contributions from q1 and q2 using vector addition:

Etotal = E1 + E2

Using the component method, we can find the magnitude and direction of the total electric field:

|Etotal| = √[(E_total,x)² + (E_total,y)²]

= √[(-18.0 N/C)² + (50.6 N/C)²]

= 53.3 N/C

θ = arctan[(E_total,y) / (E_total,x)]

= arctan[(50.6 N/C) / (-18.0 N/C)]

= -69.2 degrees

Therefore, the magnitude of the net force on a +1.00 C test charge placed at point "p" is,

Fnet = qtest * |E_total| = (+1.00 x 10^-6 C) * (53.3 N/C) = 5.33 x 10^-5 N

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A 100 meter dash was held with 20 contestants. The best time was 10.7 seconds, and the worst time was 15.3 seconds. Only the fastest 10 contestants advance to the final race.

Which measure of central tendency should be used to calculate the cutoff time for the final race?
A.
range
B.
mode
C.
median
D.
mean

Answers

The measure of central tendency that should be used to calculate the cutoff time for the final race is the median.

Option C.

What is median?

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.

To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list.

So from the given data of the 100 meter dash, the measure of central tendency that should be used to calculate the cutoff time for the final race is the median.

The median will help to separate half of the data points that are smaller than the cutoff time and half of the data points are larger than the cutoff time.

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I need help please :((((((

I need help please :((((((

Answers

Suppose you walk across a carpet with socks on your feet. When you touch a metal door handle, you feel a shock because, c. Excess negative charges build up in your body while walking across the carpet, then jump when attracted to the positive charges in the door handle.

When you walk across a carpet with socks on your feet, the friction between the carpet and your socks causes the transfer of electrons. Electrons are negatively charged particles. As you move, the carpet rubs against your socks, stripping some electrons from the atoms in the carpet and transferring them to your socks. This results in your body gaining an excess of negative charges.

The metal door handle, on the other hand, contains positive charges. When you touch the metal door handle, there is a sudden flow of electrons from your body to the door handle. This movement of electrons is known as an electric discharge or a static shock. The excess negative charges in your body are attracted to the positive charges in the door handle, and this attraction causes the sudden discharge of electrons, resulting in the shock that you feel.

It's important to note that the shock occurs due to the difference in charges between your body and the metal door handle. The friction between your socks and the carpet allows for the buildup of static electricity, and the shock is a result of the equalization of charges when you touch the metal object. Therefore, Option E is correct.

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Which of the following is a good definition of mass
a) Mass is a measure of how much space a substance takes up
b) Mass is a measure of the spaces between particles in a substance
c) Mass is a measure of how much matter there is in a substance
d) Mass is a measure of the temperature of a substance

Answers

The definition of mass is: Mass is a measure of how much matter there is in a substance. So, option (c) is correct.

What is mass?

In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force.

The change caused by an applied force is smaller the more mass a body has. The kilogram serves as the unit of mass in the International System of Units (SI).

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a power supply maintains a potential difference of 78.7 v across a 2070 ω resistor. what is the current in the resistor?

Answers

the current in  potential difference the resistor can be calculated as:

I = V / R

I = 78.7 V / 2070 Ω

I = 0.038 A

So the current flowing through the resistor is 0.038 A.

To find the current in the resistor, we can use Ohm's Law, which states that the current flowing through a resistor is equal to the voltage across the resistor divided by the resistance of the resistor.

In this case, the voltage across the resistor is 78.7 V and the resistance of the resistor is 2070 Ω. ,

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what is the momentum of a 79kg runner traveling at 8m/s​

Answers

Answer:

20mph

Explanation:

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