A grandfather clock is controlled by a swinging brass pendulum that is 1.4 m long at a temperature of 32°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 = 2?(square root of L/g)  where L is its length, does the change in length of the rod cause the clock to run fast or slow? fast  slow   neither

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
Section: Chapter Questions
Problem 71PQ
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A grandfather clock is controlled by a swinging brass pendulum that is 1.4 m long at a temperature of 32°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 = 2?(square root of L/g)
 where L is its length, does the change in length of the rod cause the clock to run fast or slow?
fast  slow   neither
 
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