A grandfather clock is controlled by a swinging brass pendulum that is 1.4 m long at a temperature of 27°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√/L/g, where L is its length, does the change in length of the rod cause the clock to run fast or slow? O fast Oslow O neither

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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A grandfather clock is controlled by a swinging brass pendulum that is 1.4 m long at a temperature of 27°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√/L/g, where L is its length, does the change in length of the rod cause the clock to run fast or slow?
O fast
O slow
Oneither
Transcribed Image Text:A grandfather clock is controlled by a swinging brass pendulum that is 1.4 m long at a temperature of 27°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√/L/g, where L is its length, does the change in length of the rod cause the clock to run fast or slow? O fast O slow Oneither
A brass ring of diameter 10.00 cm at 17.6°C is heated and slipped over an aluminum rod of diameter 10.01 cm at 17.6°C. Assume the average coefficients of linear expansion are constant.
(a) To what temperature must the combination be cooled to separate the two metals?
*C
Is that temperature attainable?
O Yes
No
(b) What if the aluminum rod were 10.05 cm in diameter?
"C
Is that temperature attainable?
Yes
O No
Transcribed Image Text:A brass ring of diameter 10.00 cm at 17.6°C is heated and slipped over an aluminum rod of diameter 10.01 cm at 17.6°C. Assume the average coefficients of linear expansion are constant. (a) To what temperature must the combination be cooled to separate the two metals? *C Is that temperature attainable? O Yes No (b) What if the aluminum rod were 10.05 cm in diameter? "C Is that temperature attainable? Yes O No
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