A grandfather clock can be approximated as a simple pendulum of length 1.00 m and keeps accurate time at a location where g = 9.83 m/s2. In a location where g = 9.68 m/s2, what must be the new length of the pendulum, such that the clock continues to keep accurate time (that is, its period remains the same)?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.45P: A grandfather clock has a pendulum length of 0.7 m and mass bob of 0.4 kg. A mass of 2 kg falls 0.8...
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A grandfather clock can be approximated as a simple pendulum of length 1.00 m and keeps
accurate time at a location where g = 9.83 m/s2. In a location where g = 9.68 m/s2, what must
be the new length of the pendulum, such that the clock continues to keep accurate time (that
is, its period remains the same)?

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