Two wheels roll side-by-side without sliding, at the same speed. The radius of wheel 2 is twice the radius of wheel 1. The angular velocity of wheel 2 is:
Correct answer: C. half the angular velocity of wheel 1
- A. twice the angular velocity of wheel 1
- B. the same as the angular velocity of wheel 1
- C. half the angular velocity of wheel 1
- D. more than twice the angular velocity of wheel 1
Explanation
As two wheels roll side-by-side only ifv1 = v2r1ω1 = r2ω2r1ω1 = (2r1)ω2ω2 = ω1/2
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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