A pendulum clock is accurate on earth, where the period of its pendulum is 1.00 s....

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Question

A pendulum clock is accurate on earth, where the period of its pendulum is 1.00 s....

A pendulum clock is accurate on earth, where the period of its pendulum is 1.00 s.
(a) Find its period on the moon, where gravitational acceleration is 1.6 m/s².

(b) During a 2 h interval, what would be the elapsed time shown on the clock?

science physics

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Answer 1

Answer #1

g value on earth varies from location to location. I'll assume a value of 9.8 m/s

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Answer 2

Answer #2

(a) the period of the pendulum is T=  2TTsqrt(L/g) - only depends on length and gravity
T' = 2TTsqrt(L/g') = T sqrt(g/g') = 1 s * sqrt( 10/1.6) = 2.5 s
(b) so the clock measures 1 second on the moon every 2.5 seconds in real time so in 3600 s it only measures... 3600/2.5=1440 s =24 minutes

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Answer 3

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