College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 10, Problem 12P
A grandfather clock is controlled by a swinging brass pendulum that is 1.3 m long at a temperature of 20.0°C. (a) What is the length of the pendulum rod when the temperature drops to 0.0°C? (b) If a pendulum’s period is given by
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A grandfather clock is controlled by a swinging brass pendulum that is 1.3 m long at a temperature of 20.0°C. (a) What is the length of the pendulum rod when the temperature drops to 0.0°C? (b) If a pendulum’s period is given by T = 2π√L/g, where L is its length, does the change in length of the rod cause the clock to run fast or slow?
A grandfather clock is controlled by a swinging brass pendulum that is 1.6 m long at a temperature of 35°C.
(a) What is the length of the pendulum rod when the temperature drops to 0.0°C? (Give your answer to at least four significant figures.)
mm
(b) If a pendulum's period is given by T = 2nVLig, where L is its length, does the change in length of the rod cause the clock to run fast or slow?
O fast
slow
O neither
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.
Chapter 10 Solutions
College Physics
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