In a pendulum clock, the pendulum is a metal bar, designed so that its period of oscillation is equal to 1.0 s. It is found that in winter, when the average temperature is 10°C, the clock goes forward an average of 55s per week; in summer, when the average temperature is 30°C, the clock goes backward an average of 1 minute per week. (a) Calculate the coefficient of linear expansion of the metal of the pendulum. (b) At what temperature would the clock run accurately?

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In a pendulum clock, the pendulum is a metal bar, designed so that its period of oscillation is equal to 1.0 s. It is found that in winter, when the average temperature is 10°C, the clock goes forward an average of 55s per week; in summer, when the average temperature is 30°C, the clock goes backward an average of 1 minute per week.
(a) Calculate the coefficient of linear expansion of the metal of the pendulum.
(b) At what temperature would the clock run accurately?

 

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