A clock pendulum, made of aluminum, has a period of 1.00 s s and is accurate...

A clock pendulum, made of aluminum, has a period of 1.00 s s and is accurate at 8.0°C. If the clock is used in a climate where the temperature averages 36.0°C what correction is necessary at the end of a 40 day period to the time given by the clock?

Expert Solution

The time period of the pendulum of the length L is

And so, if the time period for the length at L_1 = L_0 at temperature t_1 = 8 degree C , is T_1 = 1.0 sec,
then the time period at the higher temperature t_2 = 36 degee C, is

Then


And for aluminium, the linear expansion coefficient is given by

And so, the time period at 36 degree C is


So, the correction to 1.0 sec is

So, the correction to 40 day period is

genius_generous answered 1 year ago

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