When the length L of aclock pendulum is held constant by controlling its temperature,the pendulum’s period T depends on the acceleration of gravity g.The period will therefore vary slightly as the clock is moved fromplace to place on Earth’s surface, depending on the change in g.By keeping track of DELTA T, we can estimate the variation in g fromthe equation T = 2π(L/g)1/2 that relates T, g, and L. A clock with a 100-cm pendulum is moved from a location where g = 980 cm/sec2 to a new location. This increases the period by dT = 0.001 sec. Find dg and estimate the value of g at the new location.
When the length L of aclock pendulum is held constant by controlling its temperature,the pendulum’s period T depends on the acceleration of gravity g.The period will therefore vary slightly as the clock is moved fromplace to place on Earth’s surface, depending on the change in g.By keeping track of DELTA T, we can estimate the variation in g fromthe equation T = 2π(L/g)1/2 that relates T, g, and L. A clock with a 100-cm pendulum is moved from a location where g = 980 cm/sec2 to a new location. This increases the period by dT = 0.001 sec. Find dg and estimate the value of g at the new location.
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter15: Oscillations
Section: Chapter Questions
Problem 66AP: Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at...
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When the length L of a
clock pendulum is held constant by controlling its temperature,
the pendulum’s period T depends on the acceleration of gravity g.
The period will therefore vary slightly as the clock is moved from
place to place on Earth’s surface, depending on the change in g.
By keeping track of DELTA T, we can estimate the variation in g from
the equation T = 2π(L/g)1/2 that relates T, g, and L. A clock with a 100-cm pendulum is moved from a location
where g = 980 cm/sec2 to a new location. This increases the
period by dT = 0.001 sec. Find dg and estimate the value of
g at the new location.
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