AP Physics 1 Question 402: Answer and Explanation

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Question: 402

10. A mechanical wheel initially at rest on the floor begins rolling forward with an angular acceleration of 2π rad/s2. If the wheel has a radius of 2 m, what distance does the wheel travel in 3 seconds?

  • A. 4π m
  • B. 6π m
  • C. 16π m
  • D. 18π m

Correct Answer: D



Apply Big Five #3 for rotational motion:

The circumference of the circle d = 2πr = 2π(2 m) = 4π m. 9π rad is equivalent to 4.5 rotations and a total distance traveled of 4.5 · 4π m = 18π m.