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Bicycle Wheel's Average Angular Velocity, Angular Acceleration, and Rotational Motion Problems

This text includes questions about a bicycle wheel's average angular velocity, angular acceleration, and various scenarios involving rotational motion.

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Bicycle Wheel's Average Angular Velocity, Angular Acceleration, and Rotational Motion Problems

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  1. A bicycle wheel rotates through four complete revolutions in 2 seconds. What is its average angular velocity? (a) 2 radians/s (b) 2B radians/s (c) 4B radians/s (d) 4B radians

  2. A bicycle wheel starts from rest and 2 seconds later, is rotating at 4 revolutions per second. What is its average angular acceleration over this time? (a) 8B radians/s2 (b) 4B radians/s2 (c) 2 revolutions/s (d) 4 revolutions/s2 (e) 16B radians

  3. A Approximately how far has the wheel on the right rotated between points A and B ? B a) 0.5 radians b) 1 radian c) 2 radians d) B radians e) none of the above

  4. Which of the following equations is dimensionally correct? (Choose the best answer)

  5. Which of the following equations is correct?

  6. In the figure above, the car is moving directly away from you at constant speed around a circular banked track. What is the direction of its acceleration?

  7. A ball on a string is released from rest at point A. Which of the following vectors best represents its acceleration… a) b) c) d) zero e) …at point A? …at point B? …at point C? …at point D?

  8. The block slides down the frictionless track, starting from rest. Which vector best represents the direction of the acceleration at point A?

  9. The block slides down the frictionless track, starting from rest. Which vector best represents the direction of the acceleration at point B?

  10. Problem • A car starts from rest on a circular track, and accelerates with a constant angular acceleration of 0.1 rad/s. The track has a radius of 100 m. • How long does it take to go around the track once? • At this time, what is the magnitude of its • Tangential acceleration? • Radial acceleration? • Sketch the track, showing the direction of the total acceleration vector at this time.

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