The coordinate of an object is given as a function of time by θ = 7t - 3t2, where θ is in radians and t is in seconds.Its angular velocity at t = 3 s is:

A) −11 rad/s B) −3.7 rad/s C) 1.0 rad/s D) 3.7 rad/s E) 11 rad/s A) −11 rad/s B) −3.7 rad/s C) 1.0 rad/s D) 3.7 rad/s E) 11 rad/s

A) 25 $\degree$ B) 37 $\degree$ C) 45 $\degree$ D) 57 $\degree$ E) 90 $\degree$ A) 25 $\degree$ B) 37 $\degree$ C) 45 $\degree$ D) 57 $\degree$ E) 90 $\degree$

Exam 10: Rotation

A disk with a rotational inertia of 2.0 kg.m² and a radius of 0.40 m rotates on a frictionless fixed axis perpendicular to the disk faces and through its center.A force of 5.0 N is applied tangentially to the rim.The angular acceleration of the disk is:

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Question 1

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A disk with a rotational inertia of 5.0 kg∙m² and a radius of 0.25 m rotates on a fixed axis perpendicular to the disk and through its center.A force of 2.0 N is applied tangentially to the rim.As the disk turns through half a revolution the work done by the force is:

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Question 2

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A thin circular hoop of mass 1.0 kg and radius 2.0 m is rotating about an axis through its center and perpendicular to its plane.It is slowing down at the rate of 7.0 rad/s².The net torque acting on it is:

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Question 3

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A pulley with a radius of 3.0 cm and a rotational inertia of 4.5 * 10^-3 kg∙m² is suspended from the ceiling.A rope passes over it with a 2.0-kg block attached to one end and a 4.0-kg block attached to the other.The rope does not slip on the pulley.When the velocity of the heavier block is 2.0 m/s the total kinetic energy of the pulley and blocks is:

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Question 4

A wheel initially has an angular velocity of -36 rad/s but after 6.0 s its angular velocity is -24 rad/s.If its angular acceleration is constant the value is:

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Question 5

If a wheel turning at a constant rate completes 100 revolutions in 10 s its angular speed is:

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Question 6

A block is attached to each end of a rope that passes over a pulley suspended from the ceiling.The blocks do not have the same mass.If the rope does not slip on the pulley, then at any instant after the blocks start moving, the rope:

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Question 7

The coordinate of an object is given as a function of time by θ = 7t - 3t², where θ is in radians and t is in seconds.Its angular velocity at t = 3 s is:

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Question 8

An 8.0-cm radius disk with a rotational inertia of 0.12 kg∙m² is free to rotate on a horizontal axis.A string is fastened to the surface of the disk and a 10-kg mass hangs from the other end.The mass is raised by using a crank to apply a 9.0-N.m torque to the disk.The acceleration of the mass is:

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Question 9

One revolution is the same as:

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Question 10

This graph shows the angular position of an object as a function of time.What is its instantaneous angular velocity at t = 1.5 s?

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Question 11

A pulley with a radius of 3.0 cm and a rotational inertia of 4.5 *10^-3 kg∙m² is suspended from the ceiling.A rope passes over it with a 2.0-kg block attached to one end and a 4.0-kg block attached to the other.The rope does not slip on the pulley.At any instant after the blocks start moving the object with the greatest kinetic energy is:

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Question 12

A constant torque of 260 N∙m acts on a flywheel.If the flywheel makes 25 complete revolutions in 2 minutes, what is the power exerted by the torque?

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Question 13

This graph shows the angular position of an object as a function of time.What is its average angular velocity between t = 5 s and t = 9 s?

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Question 14

A car travels north at constant velocity.It goes over a piece of mud which sticks to the tire.The initial acceleration of the mud, as it leaves the ground, is:

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Question 15

A radian is about:

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Question 16

The figure shows forces acting on a meter stick, which is constrained to rotate around the axis indicated by the dot $\cdotp$ Which force(s)create a positive torque around that axis? $The figure shows forces acting on a meter stick, which is constrained to rotate around the axis indicated by the dot \cdotp Which force(s)create a positive torque around that axis?$ $The figure shows forces acting on a meter stick, which is constrained to rotate around the axis indicated by the dot \cdotp Which force(s)create a positive torque around that axis?$

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Question 17

A child, riding on a large merry-go-round, travels a distance of 3000 m in a circle of diameter 40 m.The total angle through which she revolves is:

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Question 18

$\tau$ = I $\alpha$ for an object rotating about a fixed axis, where $\tau$ is the net torque acting on it, I is its rotational inertia, and $\alpha$ is its angular acceleration.This expression:

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Question 19

An object rotates from θ₁ to θ₂ through an angle that is less than π radians.Which of the following results in a positive angular displacement?

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Question 20

Showing 1 - 20 of 99

Exam 10: Rotation

A disk with a rotational inertia of 2.0 kg.m2 and a radius of 0.40 m rotates on a frictionless fixed axis perpendicular to the disk faces and through its center.A force of 5.0 N is applied tangentially to the rim.The angular acceleration of the disk is:

A disk with a rotational inertia of 5.0 kg∙m2 and a radius of 0.25 m rotates on a fixed axis perpendicular to the disk and through its center.A force of 2.0 N is applied tangentially to the rim.As the disk turns through half a revolution the work done by the force is:

A thin circular hoop of mass 1.0 kg and radius 2.0 m is rotating about an axis through its center and perpendicular to its plane.It is slowing down at the rate of 7.0 rad/s2.The net torque acting on it is:

A wheel initially has an angular velocity of -36 rad/s but after 6.0 s its angular velocity is -24 rad/s.If its angular acceleration is constant the value is:

If a wheel turning at a constant rate completes 100 revolutions in 10 s its angular speed is:

A block is attached to each end of a rope that passes over a pulley suspended from the ceiling.The blocks do not have the same mass.If the rope does not slip on the pulley, then at any instant after the blocks start moving, the rope:

The coordinate of an object is given as a function of time by θ = 7t - 3t2, where θ is in radians and t is in seconds.Its angular velocity at t = 3 s is:

An 8.0-cm radius disk with a rotational inertia of 0.12 kg∙m2 is free to rotate on a horizontal axis.A string is fastened to the surface of the disk and a 10-kg mass hangs from the other end.The mass is raised by using a crank to apply a 9.0-N.m torque to the disk.The acceleration of the mass is:

One revolution is the same as:

This graph shows the angular position of an object as a function of time.What is its instantaneous angular velocity at t = 1.5 s?

A constant torque of 260 N∙m acts on a flywheel.If the flywheel makes 25 complete revolutions in 2 minutes, what is the power exerted by the torque?

This graph shows the angular position of an object as a function of time.What is its average angular velocity between t = 5 s and t = 9 s?

A car travels north at constant velocity.It goes over a piece of mud which sticks to the tire.The initial acceleration of the mud, as it leaves the ground, is:

A radian is about:

The figure shows forces acting on a meter stick, which is constrained to rotate around the axis indicated by the dot ⋅\cdotp⋅ Which force(s)create a positive torque around that axis?

A child, riding on a large merry-go-round, travels a distance of 3000 m in a circle of diameter 40 m.The total angle through which she revolves is:

τ \tau τ = I α\alphaα for an object rotating about a fixed axis, where τ \tau τ is the net torque acting on it, I is its rotational inertia, and α\alphaα is its angular acceleration.This expression:

An object rotates from θ1 to θ2 through an angle that is less than π radians.Which of the following results in a positive angular displacement?

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A disk with a rotational inertia of 2.0 kg.m² and a radius of 0.40 m rotates on a frictionless fixed axis perpendicular to the disk faces and through its center.A force of 5.0 N is applied tangentially to the rim.The angular acceleration of the disk is:

A disk with a rotational inertia of 5.0 kg∙m² and a radius of 0.25 m rotates on a fixed axis perpendicular to the disk and through its center.A force of 2.0 N is applied tangentially to the rim.As the disk turns through half a revolution the work done by the force is:

A thin circular hoop of mass 1.0 kg and radius 2.0 m is rotating about an axis through its center and perpendicular to its plane.It is slowing down at the rate of 7.0 rad/s².The net torque acting on it is:

The coordinate of an object is given as a function of time by θ = 7t - 3t², where θ is in radians and t is in seconds.Its angular velocity at t = 3 s is:

$\tau$ = I $\alpha$ for an object rotating about a fixed axis, where $\tau$ is the net torque acting on it, I is its rotational inertia, and $\alpha$ is its angular acceleration.This expression:

An object rotates from θ₁ to θ₂ through an angle that is less than π radians.Which of the following results in a positive angular displacement?