What is the period of a simple pendulum 1.00 m long at a place where g is 9.80 m/s squared?
A0.32 s
B6.28 s
C1.00 s
D2.01 s
Answer & Solution
Correct answer: D. 2.01 s
1. The period of a simple pendulum is T = 2 pi sqrt(L/g).
2. Substitute: L / g = 1.00 m / 9.80 m/s squared = 0.102 s squared.
3. The square root of 0.102 s squared is 0.319 s.
4. T = 2 pi x 0.319 s = 2.01 s.
5. Stopping at 0.319 s forgets the factor of 2 pi, which is the trap behind the 0.32 s option.
_Source: OpenStax College Physics (CC BY 4.0), Ch 16 "Oscillatory Motion and Waves", section 16.4 The Simple Pendulum_
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