Quiz  /  Rotational Inertia Class 11 MCQ Questions With Answers

  • 1. 
    The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. You can treat the wheel as a thin uniform hoop (or ring) with a mass of 0.750 kg and a radius of 33.0 cm. What is the angular acceleration of the wheel?

  • 10.4 rad/s2
  • 3.43 rad/s2
  • 5.20 rad/s2
  • 1.06 rad/s2

  • 2. 
    Suppose you are designing an engineless car for a downhill coasting race. What type of wheels would be the best?

  • Solid disks.
  • Hoops.
  • Hollow cylinders.
  • Diamond encrusted triangles.

  • 3. 
    The object with more rotational inertia needs more torque to move than object with lower inertia?

  • True
  • False

  • 4. 
    What is the angular speed about the rotational axis of the Earth for a person standing on the surface?

  • 7.3 x 10-5 rad/s
  • 3.6 x 10-5 rad/s
  • 6.28 x 10-5 rad/s
  • 3.14 x 10-5 rad/s

  • 5. 
    The relation between linear velocity and angular velocity

  • r = v⍵
  • ⍵ = vr
  • v = r⍵
  • a = v⍵

  • 6. 
    A dancer on ice spins faster when she folds here arms. This is due to

  • Increases in energy and increase in angular momentum
  • Decrease in friction at the skates
  • Constant angular momentum and increase in kinetic energy
  • Increase in energy an decreases in angular momentum

  • 7. 
    Centripetal acceleration is directed

  • directed away from the center of the circle
  • directed towards the center of the circle
  • it is perpendicular to the radius at that point
  • It has no direction

  • 8. 
    A body of M.I. 3 kg m² rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of

  • 1 m/s
  • 2 m/s
  • 4 m/s
  • 8 m/s

  • 9. 
    Moment of inertia depends on

  • Distribution of particles
  • Mass
  • Position of axis of rotation
  • All of these

  • 10. 
    Two circular discs A and B have equal masses and uniform thickness but have densities ρ1 and ρ2 such that ρ1 >ρ2. their moment of inertia is

  • I1 > I2
  • I1 >> I2
  • I1 < I2
  • I1 = I2

  • 11. 
    The dimensions of angular momentum are

  • [M1 L2 T-1]
  • [M1 L1 T-1]
  • [M1 L1 T-2]
  • [M1 L2 T-2]

  • 12. 
    As global warming occurs over the next century, the polar ice caps will start to melt ant the water will be distributed closer to the equator. How will this change the Earth's moment of inertia?

  • It would increase.
  • It would decrease.
  • It would stay the same.
  • All of above

  • 13. 
    A 0.12-m-radius grinding wheel takes 5.5 s to speed up from 2.0 rad/s to 11.0 rad/s. What is the wheel's average angular acceleration?

  • 9.6 rad/s/s
  • 4.8 rad/s/s
  • 3.1 rad/s/s
  • 1.6 rad/s/s

  • 14. 
    A merry-go-round spins freely when Diego moves quickly to the center along a radius of the merry-go-round. As he does this, it is true to say that

  • the moment of inertia of the system increases and the angular speed increases.
  • the moment of inertia of the system decreases and the angular speed remains the same.
  • the moment of inertia of the system decreases and the angular speed decreases.
  • the moment of inertia of the system decreases and the angular speed increases.
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