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A clock driven by a brass rod pendulum loses time; find the error in one day.

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A clock driven by a brass rod pendulum loses time when the rod expands as the temperature rises. Find the error in one day.

A pendulum clock is driven by a brass rod of length Lo= 1.6 meters, pivoted at one end.

The pendulum beats perfect time when the temperature is to= 21 degrees Celsius.

If the temperature is increased and held at tf= 26 degrees Celsius, find how many seconds error will be introduced in one 24 hour day.

The coefficient of expansion for brass is B= .000019 per Celsius degree.
(In finding periods, express them to four decimal places.)


Solution Preview

Step 1. Note: The brass rod oscillates with SHM as a physical pendulum. SEE ATTACHMENT #1 for a diagram showing parameters and the general equation (1), for the period, T, of a physical pendulum. Also shown is (4), the period of this pendulum, in terms of its length Lo and the constant g.

Step 2. Your substitution of ...

Solution Summary

In seven steps, the problem is solved with good explanations.