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Free Practice Quiz Question List

5 Rotational Motion Online Quiz Questions

Use this free practice quiz with 20 questions to review 5 Rotational Motion, test your knowledge, and prepare for your next test or exam.

20 questions
01
True or false
1 point

True or false: A force whose line of action passes through the rotation axis produces zero torque about that axis.

  1. A

    True

  2. B

    False

02
Choose one
1 point

A point on a rotating wheel is 0.40 m0.40\ \mathrm{m} from the axis. If the wheel's angular speed is 5.0 rad/s5.0\ \mathrm{rad/s}, what is the point's tangential speed?

  1. A

    0.50 m/s0.50\ \mathrm{m/s}

  2. B

    2.0 m/s2.0\ \mathrm{m/s}

  3. C

    5.4 m/s5.4\ \mathrm{m/s}

  4. D

    12.5 m/s12.5\ \mathrm{m/s}

03
Fill in the blank
1 point

Angular acceleration is the time rate of change of .

04
Written response
1 point

A perpendicular force of 12 N12\ \mathrm{N} is applied 0.25 m0.25\ \mathrm{m} from an axis. What is the torque magnitude? Give your answer in N·m.

05
Choose one
1 point

A wheel starts with angular velocity 2 rad/s2\ \mathrm{rad/s} and has constant angular acceleration 3 rad/s23\ \mathrm{rad/s^2} for 4 s4\ \mathrm{s}. What is its angular velocity at the end of that time?

  1. A

    5 rad/s5\ \mathrm{rad/s}

  2. B

    12 rad/s12\ \mathrm{rad/s}

  3. C

    14 rad/s14\ \mathrm{rad/s}

  4. D

    24 rad/s24\ \mathrm{rad/s}

06
Choose one
1 point

A point rotates at a radius of 0.50 m0.50\ \mathrm{m} with angular speed 4.0 rad/s4.0\ \mathrm{rad/s}. What is its inward radial acceleration?

  1. A

    2.0 m/s22.0\ \mathrm{m/s^2}

  2. B

    8.0 m/s28.0\ \mathrm{m/s^2}

  3. C

    16 m/s216\ \mathrm{m/s^2}

  4. D

    32 m/s232\ \mathrm{m/s^2}

07
True or false
1 point

True or false: For the same nonzero net torque about a fixed axis, doubling a body's moment of inertia doubles its angular acceleration.

  1. A

    True

  2. B

    False

08
Choose all
1 point

Select all statements that correctly describe how the torque magnitude τ=rFsin⁡ϕ\tau=rF\sin\phi behaves.

  1. A

    For fixed rr and FF, the torque magnitude is greatest when ϕ=90∘\phi=90^\circ.

  2. B

    If the force's line of action passes through the axis, the torque magnitude is zero.

  3. C

    If rr and ϕ\phi stay fixed, doubling FF doubles the torque magnitude.

  4. D

    For fixed rr and FF, the torque magnitude does not depend on ϕ\phi.

09
Fill in the blank
1 point

For an object rolling without slipping, the center-of-mass speed and angular speed satisfy .

10
Written response
1 point

What term describes the perpendicular distance from an axis to a force's line of action?

11
Choose one
1 point

A thin hoop and a uniform solid disk have the same mass mm and radius RR. Which has the greater moment of inertia about its central axis, and why?

  1. A

    The hoop, because its moment of inertia is mR2mR^2, compared with 12mR2\frac{1}{2}mR^2 for the disk.

  2. B

    The disk, because its moment of inertia is mR2mR^2, compared with 12mR2\frac{1}{2}mR^2 for the hoop.

  3. C

    They have equal moments of inertia because they have the same mass and radius.

  4. D

    The comparison cannot be made without knowing their angular velocities.

12
Choose all
1 point

Select all statements that apply to an object rolling without slipping.

  1. A

    The point touching the surface is instantaneously at rest relative to the surface.

  2. B

    The center-of-mass acceleration and angular acceleration satisfy aCM=Rαa_{\mathrm{CM}}=R\alpha.

  3. C

    The total kinetic energy includes both translational and rotational contributions.

  4. D

    The contact point remains at rest relative to the surface even when the object slides.

13
Open ended
1 point

An object rolls without slipping down an incline at angle θ\theta. Its center-of-mass acceleration is aCM=gsin⁡θ1+ICMmR2a_{\mathrm{CM}}=\frac{g\sin\theta}{1+\frac{I_{\mathrm{CM}}}{mR^2}}. For a solid cylinder with ICM=12mR2I_{\mathrm{CM}}=\frac{1}{2}mR^2, derive its center-of-mass acceleration in terms of gg and θ\theta.

14
True or false
1 point

True or false: For an object rolling without slipping, the point touching the surface is instantaneously at rest relative to that surface.

  1. A

    True

  2. B

    False

15
Written response
1 point

What physical quantity measures an object's resistance to angular acceleration about a particular axis?

16
Choose one
1 point

A wheel of radius 0.40 m0.40\,\mathrm{m} rolls without slipping with angular velocity 5.0 rad/s5.0\,\mathrm{rad/s}. What is the speed of its center of mass?

  1. A

    0.50 m/s0.50\,\mathrm{m/s}

  2. B

    2.0 m/s2.0\,\mathrm{m/s}

  3. C

    5.4 m/s5.4\,\mathrm{m/s}

  4. D

    12.5 m/s12.5\,\mathrm{m/s}

17
Choose one
1 point

A rotating object turns through an angular displacement of 3π rad3\pi\,\mathrm{rad} in 2.0 s2.0\,\mathrm{s}. What is its average angular velocity during that interval?

  1. A

    23π rad/s\frac{2}{3}\pi\,\mathrm{rad/s}

  2. B

    π rad/s\pi\,\mathrm{rad/s}

  3. C

    1.5π rad/s1.5\pi\,\mathrm{rad/s}

  4. D

    6π rad/s6\pi\,\mathrm{rad/s}

18
Choose one
1 point

A force of 12 N12\,\mathrm{N} is applied 0.50 m0.50\,\mathrm{m} from an axis, at an angle of 30∘30^\circ to the position vector. What is the magnitude of the torque about the axis?

  1. A

    3.0 N⋅m3.0\,\mathrm{N\cdot m}

  2. B

    6.0 N⋅m6.0\,\mathrm{N\cdot m}

  3. C

    12 N⋅m12\,\mathrm{N\cdot m}

  4. D

    24 N⋅m24\,\mathrm{N\cdot m}

19
Choose one
1 point

A point is 0.40 m0.40\,\mathrm{m} from a fixed axis while the object has angular acceleration 5.0 rad/s25.0\,\mathrm{rad/s^2}. What is the point's tangential acceleration magnitude?

  1. A

    0.50 m/s20.50\,\mathrm{m/s^2}

  2. B

    1.25 m/s21.25\,\mathrm{m/s^2}

  3. C

    1.6 m/s21.6\,\mathrm{m/s^2}

  4. D

    2.0 m/s22.0\,\mathrm{m/s^2}

20
Written response
1 point

A solid disk of mass 2.0 kg2.0\,\mathrm{kg} rolls without slipping with center-of-mass speed 3.0 m/s3.0\,\mathrm{m/s}. Its moment of inertia about its center is ICM=12mR2I_{\mathrm{CM}}=\frac{1}{2}mR^2. What is its total kinetic energy?