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 average velocity over the interval from t = 0 to t = 2 s is:

A) 5 rad/s B) -5 rad/s C) 11 rad/s D) -11 rad/s E) 1 rad/s A) 5 rad/s B) -5 rad/s C) 11 rad/s D) -11 rad/s E) 1 rad/s

A disk has a rotational inertia of 6.0 kg∙m2 and a constant angular acceleration of 2.0 rad/s2.If it starts from rest the work done during the first 5.0 s by the net torque acting on it is:

A) 0 J B) 30 J C) 60 J D) 300 J E) 600 J A) 0 J B) 30 J C) 60 J D) 300 J E) 600 J

A wheel starts from rest and has an angular acceleration that is given by $\alpha$(t)= (6.0 rad/s4)t2. After it has turned through 10 rev its angular velocity is:

A) 63 rad/s B) 75 rad/s C) 89 rad/s D) 130 rad/s E) 210 rad/s A) 63 rad/s B) 75 rad/s C) 89 rad/s D) 130 rad/s E) 210 rad/s

A flywheel of diameter 1.2 m has a constant angular acceleration of 5.0 rad/s2.The tangential acceleration of a point on its rim is:

A) 5.0 rad/s2 B) 3.0 m/s2 C) 5.0 m/s2 D) 6.0 m/s2 E) 12 m/s2 A) 5.0 rad/s2 B) 3.0 m/s2 C) 5.0 m/s2 D) 6.0 m/s2 E) 12 m/s2

Exam 10: Rotation

The meter stick shown below rotates about an axis through the point marked $\cdotp$ , 20 cm from one end.Five forces act on the stick: one at each end, one at the pivot point, and two 40 cm from one end, as shown.The magnitudes of the forces are all the same.Rank the forces according to the magnitudes of the torques they produce about the pivot point, least to greatest. $The meter stick shown below rotates about an axis through the point marked \cdotp , 20 cm from one end.Five forces act on the stick: one at each end, one at the pivot point, and two 40 cm from one end, as shown.The magnitudes of the forces are all the same.Rank the forces according to the magnitudes of the torques they produce about the pivot point, least to greatest.$ $The meter stick shown below rotates about an axis through the point marked \cdotp , 20 cm from one end.Five forces act on the stick: one at each end, one at the pivot point, and two 40 cm from one end, as shown.The magnitudes of the forces are all the same.Rank the forces according to the magnitudes of the torques they produce about the pivot point, least to greatest.$

(Multiple Choice)

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Question 41

The rotational inertia of a thin cylindrical shell of mass M, radius R, and length L about its central axis (X - X')is:

(Multiple Choice)

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Question 42

A wheel starts from rest and has an angular acceleration that is given by $\alpha$ (t)= (6.0 rad/s⁴)t².The time it takes to make 10 rev is:

(Multiple Choice)

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Question 43

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 average velocity over the interval from t = 0 to t = 2 s is:

(Multiple Choice)

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Question 44

Two uniform circular disks having the same mass and the same thickness are made from different materials.The disk with the smaller rotational inertia is:

(Multiple Choice)

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Question 45

A disk has a rotational inertia of 6.0 kg∙m² and a constant angular acceleration of 2.0 rad/s².If it starts from rest the work done during the first 5.0 s by the net torque acting on it is:

(Multiple Choice)

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Question 46

Three identical balls are tied by light strings to the same rod and rotate around it, as shown below.Rank the balls according to their rotational inertia, least to greatest.

(Multiple Choice)

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Question 47

If a wheel turns with constant angular speed then:

(Multiple Choice)

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Question 48

This graph shows the angular velocity of a turntable as a function of time.What is its average angular acceleration between t = 2 s and t = 4 s?

(Multiple Choice)

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Question 49

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 50

A constant torque of 260 N∙m acts on a flywheel.If the flywheel makes 25 complete revolutions, how much work has been done by the torque on the flywheel?

(Multiple Choice)

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Question 51

A wheel starts from rest and has an angular acceleration that is given by $\alpha$ (t)= (6.0 rad/s⁴)t^2. After it has turned through 10 rev its angular velocity is:

(Multiple Choice)

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Question 52

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 53

A flywheel of diameter 1.2 m has a constant angular acceleration of 5.0 rad/s².The tangential acceleration of a point on its rim is:

(Multiple Choice)

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Question 54

A torque of 170 N∙m does 4700 J of work on a rotating flywheel.If the flywheel's initial kinetic energy is 1500 J, what is its final kinetic energy?

(Multiple Choice)

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Question 55

A certain wheel has a rotational inertia of 12 kg∙m².As it turns through 5.0 rev its angular velocity increases from 5.0 rad/s to 6.0 rad/s.If the net torque is constant its value is:

(Multiple Choice)

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Question 56

A disk starts from rest and rotates around a fixed axis, subject to a constant net torque.The work done by the torque during the second 5 s is ______ as the work done during the first 5 s.

(Multiple Choice)

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Question 57

An object rotates from θ₁ to θ₂ through an angle that is less than 2π radians.Which of the following represents its angular displacement?

(Multiple Choice)

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Question 58

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

(Multiple Choice)

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Question 59

A circular saw is powered by a motor.When the saw is used to cut wood, the wood exerts a torque of 0.80 N∙m on the saw blade.If the blade rotates with a constant angular velocity of 20 rad/s the work done on the blade by the motor in 1.0 min is:

(Multiple Choice)

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Question 60

Showing 41 - 60 of 99

Exam 10: Rotation

The rotational inertia of a thin cylindrical shell of mass M, radius R, and length L about its central axis (X - X')is:

A wheel starts from rest and has an angular acceleration that is given by α\alphaα (t)= (6.0 rad/s4)t2.The time it takes to make 10 rev 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 average velocity over the interval from t = 0 to t = 2 s is:

Two uniform circular disks having the same mass and the same thickness are made from different materials.The disk with the smaller rotational inertia is:

A disk has a rotational inertia of 6.0 kg∙m2 and a constant angular acceleration of 2.0 rad/s2.If it starts from rest the work done during the first 5.0 s by the net torque acting on it is:

Three identical balls are tied by light strings to the same rod and rotate around it, as shown below.Rank the balls according to their rotational inertia, least to greatest.

If a wheel turns with constant angular speed then:

This graph shows the angular velocity of a turntable as a function of time.What is its average angular acceleration between t = 2 s and t = 4 s?

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 constant torque of 260 N∙m acts on a flywheel.If the flywheel makes 25 complete revolutions, how much work has been done by the torque on the flywheel?

A wheel starts from rest and has an angular acceleration that is given by α\alphaα (t)= (6.0 rad/s4)t2. After it has turned through 10 rev its angular velocity 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 flywheel of diameter 1.2 m has a constant angular acceleration of 5.0 rad/s2.The tangential acceleration of a point on its rim is:

A torque of 170 N∙m does 4700 J of work on a rotating flywheel.If the flywheel's initial kinetic energy is 1500 J, what is its final kinetic energy?

A certain wheel has a rotational inertia of 12 kg∙m2.As it turns through 5.0 rev its angular velocity increases from 5.0 rad/s to 6.0 rad/s.If the net torque is constant its value is:

A disk starts from rest and rotates around a fixed axis, subject to a constant net torque.The work done by the torque during the second 5 s is ______ as the work done during the first 5 s.

An object rotates from θ1 to θ2 through an angle that is less than 2π radians.Which of the following represents its angular displacement?

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

A circular saw is powered by a motor.When the saw is used to cut wood, the wood exerts a torque of 0.80 N∙m on the saw blade.If the blade rotates with a constant angular velocity of 20 rad/s the work done on the blade by the motor in 1.0 min is:

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A wheel starts from rest and has an angular acceleration that is given by $\alpha$ (t)= (6.0 rad/s⁴)t².The time it takes to make 10 rev 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 average velocity over the interval from t = 0 to t = 2 s is:

A disk has a rotational inertia of 6.0 kg∙m² and a constant angular acceleration of 2.0 rad/s².If it starts from rest the work done during the first 5.0 s by the net torque acting on it is:

A wheel starts from rest and has an angular acceleration that is given by $\alpha$ (t)= (6.0 rad/s⁴)t^2. After it has turned through 10 rev its angular velocity is:

A flywheel of diameter 1.2 m has a constant angular acceleration of 5.0 rad/s².The tangential acceleration of a point on its rim is:

A certain wheel has a rotational inertia of 12 kg∙m².As it turns through 5.0 rev its angular velocity increases from 5.0 rad/s to 6.0 rad/s.If the net torque is constant its value is:

An object rotates from θ₁ to θ₂ through an angle that is less than 2π radians.Which of the following represents its angular displacement?