AP Physics 1 Question 402: Answer and Explanation
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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.