Apendulum clock with a brass suspension system is calibrated so that its period is 1 s at 20 degree c. if the temperature increases to 43 degree c, by how much does the period change? answer in units of s.

0.207 ms

Explanation:

First of all we need to find the length of the pendulum at 20 degrees. We know that the period is 1 s, and the formula for the period is

where L is the length of the pendulum and g is the gravitational acceleration. Solving the equation for L and using T = 1 s and g = 9.8 m/s^2, we find

Now we can find the new length of the pendulum at 43 degrees; the coefficient of thermal expansion of brass is

And the new length of the pendulum is given by

where in this case

is the change in temperature

Substituting,

So we can now calculate the new period of the pendulum:

So the change in the period is

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