The period of a pendulum is given by the equation shown below, whereLis the length of the pendulum in feet,gis the acceleration due to gravity, andTis the time in seconds.

T= 2

L

g

The pendulum has been subjected to an increase in temperature such that the length has increased by1

2

%

(a) Find the approximate percent change in the period.

%

(b) Using the result in part (a), find the approximate error in this pendulum clock in 1 day.

min