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PhysicsQ&A LibraryA 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.)Question

Asked Jan 23, 2020

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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/s^{2}) at the clock's location? (Give your answer to at least 3 decimal places.)

m/s^{2}

(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.)

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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