A pendulum clock contains a simple pendulum of length 1.000 m and is perfectly…
PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
A pendulum clock contains a simple pendulum of length 1.000 m and is perfectly adjusted at a location where g=9.810ms−2. The clock is then taken down a mine where g=9.790ms−2.
(a) How much time will the clock lose (in seconds) during 24 actual hours if its length is left unchanged?
(b) By what fractional change in the length of the pendulum should the clockmaker adjust the pendulum so that it keeps correct time in the mine? Express your answer as a percentage to two significant figures.