A grandfather clock is controlled by a swinging brass pendulum that is 1.3m long at a temperature of 20°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?

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
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A grandfather clock is controlled by a swinging brass pendulum that is 1.3m long at a temperature of 20°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? 

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