Please help on this question.?

Question

A pendulum clock with a brass suspension
system is calibrated so that its period is 1 s at 13C.
If the temperature increases to 39C, by
how much does the period change in units of s?

How much time does the clock gain or lose in
one week in units of s?

Answer 1

The period of a pendulum is proportional to the square root of the length of the suspension system. Brass has a known coefficient of expansion. Use that information and the temperature change to find out the change in length of the pendulum, and thus the change in period.