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Q10CQ

Expert-verifiedFound in: Page 472

Book edition
9th Edition

Author(s)
Raymond A. Serway, John W. Jewett

Pages
1624 pages

ISBN
9781133947271

**If a pendulum clock keeps perfect time at the base of a mountain, will it also keep perfect time when it is moved to the top of the mountain? Explain.**

No. It won’t keep perfect time when it is moved to the top of the mountain.

A simple pendulum of length *L* can be modeled to move in simple harmonic motion for small angular displacements from the vertical. Its period is

$T=2\pi \sqrt{\frac{L}{g}}$

*T* = Time period of oscillation

*L* = Length of string

*g* = Gravitational acceleration

- The period of a pendulum depends on the acceleration of gravity $T=2\pi \sqrt{\frac{L}{g}}$.
- If the acceleration of gravity is different at the top of the mountain, the period is different and the pendulum does not keep perfect time.
- Two things will affect the acceleration of gravity; the top of the mountain is farther from the center of the Earth, and the nearby large mass of the mountain under the pendulum.

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