A cylinder is 0.10 m in radius and 0.20 m in length.Its rotational inertia, about the cylinder axis on which it is mounted, is 0.020 kg . m2.A string is wound around the cylinder and pulled with a force of 1.0 N.The angular acceleration of the cylinder is:

A) 2.5 rad/s2 B) 5.0 rad/s2 C) 10 rad/s2 D) 15 rad/s2 E) 20 rad/s2 A) 2.5 rad/s2 B) 5.0 rad/s2 C) 10 rad/s2 D) 15 rad/s2 E) 20 rad/s2

The angular velocity of a rotating turntable is given in rad/s by ω(t)= 4.5 + 0.64t - 2.7t2.What is its angular acceleration at t = 2.0 s?

A) −10 rad/s2 B) -5.0 rad/s2 C) −5.4 rad/s2 D) 2.4 rad/s2 E) 3.1 rad/s2 A) −10 rad/s2 B) -5.0 rad/s2 C) −5.4 rad/s2 D) 2.4 rad/s2 E) 3.1 rad/s2

A wheel starts from rest and has an angular acceleration of 4.0 rad/s2.The time it takes to make 10 revolutions is:

A) 0.50 s B) 0.71 s C) 2.2 s D) 2.8 s E) 5.6 s A) 0.50 s B) 0.71 s C) 2.2 s D) 2.8 s E) 5.6 s

Exam 10: Rotation

A cylinder is 0.10 m in radius and 0.20 m in length.Its rotational inertia, about the cylinder axis on which it is mounted, is 0.020 kg . m².A string is wound around the cylinder and pulled with a force of 1.0 N.The angular acceleration of the cylinder is:

(Multiple Choice)

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Question 21

A disk with a rotational inertia of 5.0 kg .m² and a radius of 0.25 m rotates on a frictionless fixed axis perpendicular to the disk and through its center.A force of 8.0 N is applied tangentially to the rim.If the disk starts at rest, then after it has turned through half a revolution its angular velocity is:

(Multiple Choice)

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Question 22

For a wheel spinning with constant angular acceleration on an axis through its center, the ratio of the speed of a point on the rim to the speed of a point halfway between the center and the rim is:

(Multiple Choice)

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Question 23

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:

(Multiple Choice)

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Question 24

The angular velocity of a rotating turntable is given in rad/s by ω(t)= 4.5 + 0.64t - 2.7t².What is its angular acceleration at t = 2.0 s?

(Multiple Choice)

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Question 25

Wrapping paper is being unwrapped from a 5.0-cm radius tube, free to rotate on its axis.If it is pulled at the constant rate of 10 cm/s and does not slip on the tube, the angular velocity of the tube is:

(Multiple Choice)

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Question 26

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:

(Multiple Choice)

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Question 27

A meter stick on a horizontal frictionless table top is pivoted at the 80-cm mark.A horizontal force is applied perpendicularly to the end of the stick at 0 cm, as shown.A second horizontal force (not shown)is applied at the 100-cm end of the stick.If the stick does not rotate:

(Multiple Choice)

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Question 28

A 0.70-kg disk with a rotational inertia given by MR²/2 is free to rotate on a fixed horizontal axis suspended from the ceiling.A string is wrapped around the disk and a 2.0-kg mass hangs from the free end.If the string does not slip then as the mass falls and the cylinder rotates the suspension holding the cylinder pulls up on the mass with a force of:

(Multiple Choice)

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Question 29

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?

(Multiple Choice)

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Question 30

The rotational inertia of a wheel about its axle does not depend upon its:

(Multiple Choice)

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Question 31

A phonograph turntable, initially rotating at 0.75 rev/s, slows down and stops in 30 s.The magnitude of its average angular acceleration for this process is:

(Multiple Choice)

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Question 32

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:

(Multiple Choice)

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Question 33

Consider four objects, each having the same mass and the same radius: 1. a solid sphere 2. a hollow sphere 3. a flat disk in the x,y plane 4. a hoop in the x,y plane The order of increasing rotational inertia about an axis through the center of mass and parallel to the z axis is:

(Multiple Choice)

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Question 34

A wheel of diameter 3.0 cm has a 4.0 m cord wrapped around its periphery.Starting from rest, the wheel is given a constant angular acceleration of 2 rad/s².The cord will unwind in:

(Multiple Choice)

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Question 35

A wheel starts from rest and has an angular acceleration of 4.0 rad/s².The time it takes to make 10 revolutions is:

(Multiple Choice)

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Question 36

A disk starts from rest and rotates about a fixed axis, subject to a constant net torque.The work done by the torque during the second revolution is ______ as the work done during the first revolution.

(Multiple Choice)

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Question 37

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?

(Multiple Choice)

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Question 38

A disk is free to rotate on a fixed axis.A force of given magnitude F, in the plane of the disk, is to be applied.Of the following alternatives the greatest angular acceleration is obtained if the force is:

(Multiple Choice)

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Question 39

The figure shows a cylinder of radius 0.7 m rotating about its axis at 10 rad/s.The speed of the point P is:

(Multiple Choice)

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Question 40

Showing 21 - 40 of 102

Exam 10: Rotation

A cylinder is 0.10 m in radius and 0.20 m in length.Its rotational inertia, about the cylinder axis on which it is mounted, is 0.020 kg . m2.A string is wound around the cylinder and pulled with a force of 1.0 N.The angular acceleration of the cylinder is:

For a wheel spinning with constant angular acceleration on an axis through its center, the ratio of the speed of a point on the rim to the speed of a point halfway between the center and the rim 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 angular velocity of a rotating turntable is given in rad/s by ω(t)= 4.5 + 0.64t - 2.7t2.What is its angular acceleration at t = 2.0 s?

Wrapping paper is being unwrapped from a 5.0-cm radius tube, free to rotate on its axis.If it is pulled at the constant rate of 10 cm/s and does not slip on the tube, the angular velocity of the tube 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:

A meter stick on a horizontal frictionless table top is pivoted at the 80-cm mark.A horizontal force is applied perpendicularly to the end of the stick at 0 cm, as shown.A second horizontal force (not shown)is applied at the 100-cm end of the stick.If the stick does not rotate:

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?

The rotational inertia of a wheel about its axle does not depend upon its:

A phonograph turntable, initially rotating at 0.75 rev/s, slows down and stops in 30 s.The magnitude of its average angular acceleration for this process 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:

Consider four objects, each having the same mass and the same radius: 1. a solid sphere 2. a hollow sphere 3. a flat disk in the x,y plane 4. a hoop in the x,y plane The order of increasing rotational inertia about an axis through the center of mass and parallel to the z axis is:

A wheel of diameter 3.0 cm has a 4.0 m cord wrapped around its periphery.Starting from rest, the wheel is given a constant angular acceleration of 2 rad/s2.The cord will unwind in:

A wheel starts from rest and has an angular acceleration of 4.0 rad/s2.The time it takes to make 10 revolutions is:

A disk starts from rest and rotates about a fixed axis, subject to a constant net torque.The work done by the torque during the second revolution is ______ as the work done during the first revolution.

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 disk is free to rotate on a fixed axis.A force of given magnitude F, in the plane of the disk, is to be applied.Of the following alternatives the greatest angular acceleration is obtained if the force is:

The figure shows a cylinder of radius 0.7 m rotating about its axis at 10 rad/s.The speed of the point P is:

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A cylinder is 0.10 m in radius and 0.20 m in length.Its rotational inertia, about the cylinder axis on which it is mounted, is 0.020 kg . m².A string is wound around the cylinder and pulled with a force of 1.0 N.The angular acceleration of the cylinder 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 angular velocity of a rotating turntable is given in rad/s by ω(t)= 4.5 + 0.64t - 2.7t².What is its angular acceleration at t = 2.0 s?

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 wheel of diameter 3.0 cm has a 4.0 m cord wrapped around its periphery.Starting from rest, the wheel is given a constant angular acceleration of 2 rad/s².The cord will unwind in:

A wheel starts from rest and has an angular acceleration of 4.0 rad/s².The time it takes to make 10 revolutions is: