An athlete completes one round (0 = 27π radian) of a circular track of 40m radius in 40 sec. How much linear displacement will he cover in 2 minutes and 20 seconds?
Correct answer: D. 80 meters
- A. 240π meters
- B. 2π meters
- C. 80π meters
- D. 80 meters
Explanation
Option D is correct.An athlete complete 1 round in 40 s. it means that 3 rounds complete 120s (2 minutes), so total displacement is zero in 120 s. The displacement of athlete in next 20 s (semi circle) is R+R =2R = (40)(2) = 80m
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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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