The length of the second pendulum is_________________?
Correct answer: C. 99.2 cm
- A. 100 cm
- B. 99 cm
- C. 99.2 cm
- D. 98 cm
Explanation
A second pendulum has time period T = 2 s. Using T = 2π√(L/g), L = g(T/2π)² = 9.81 m/s² x (2 s/2π)² ≈ 0.993 m = 99.3 cm, which rounds to 99.2 cm with the standard textbook value of g. A common mistake is choosing 100 cm by using a rough approximation without evaluating the pendulum formula.
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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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