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 = 0.2484 m and, instead of keeping perfect time, the clock runs slow by 1.505 minutes per day.

HINT

(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.) m