# A clock is constructed so that it keeps perfect time when its simple pendulum has a period of exactly 1.000 s. The pendulum bob has length L = 0.2486 m and, instead of keeping perfect time, the clock runs slow by 1.502 minutes per day.(a)What is the free-fall acceleration (in m/s2) at the clock's location? (Give your answer to at least 3 decimal places.) m/s2(b)What length of pendulum bob (in m) is required for the clock to keep perfect time? (Give your answer to at least 4 decimal places.)

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A clock is constructed so that it keeps perfect time when its simple pendulum has a period of exactly 1.000 s. The pendulum bob has length L = 0.2486 m and, instead of keeping perfect time, the clock runs slow by 1.502 minutes per day.
(a)
What is the free-fall acceleration (in m/s2) at the clock's location? (Give your answer to at least 3 decimal places.)
m/s2
(b)
What length of pendulum bob (in m) is required for the clock to keep perfect time? (Give your answer to at least 4 decimal places.)
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Step 1

When the time period of a simple pendulum increases then the clock starts running slow. The loss of time per second can be calculated as,

Step 2

The time period of the simple pendulum is given by,

Step 3

Calculate the free fall acceleration at the ...

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