A point on the rim of a wheel 4m in diameter has a velocity of 1600 cm s-1. The angular velocity of the wheel is :
Correct answer: D. 8 rad s-1
- A. 2 rad s-1
- B. 6 rad s-1
- C. 4 rad s-1
- D. 8 rad s-1
Explanation
Convert 1600 cm/s into m/s = 1600/ 100 = 16m/s ω = v/r (radius = diameter/2 = 4/2 = 2m) ω = 16 / 2 = 8 rads-1
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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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