A wheel initially has an angular velocity of 18 rad/s but it is slowing at a rate of 2.0 rad/s2. By the time it stops it will have turned through:
Correct answer: A. 81 rad
- A. 81 rad
- B. 245 rad
- C. 160 rad
- D. 330 rad
Explanation
2αθ =ωf^2 - ωi^2 2(-2)θ = (0)^2 - (18)^2 - 4θ = 324 θ = 324/4 = 81 rad
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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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