A clock with a brass pendulum shaft keeps correct time at a certain temperature.
a. How closely must the temperature be controlled if the clock is not to gain or lose more that 1 s a day? Does the answer depend on the period of the pendulum?
b. Will an increase of temperature cause the clock to gain or lose? `(alpha_("brass")=2 xx 10^(-5)//^(@)C)`

Explanation

(a) 495s, (b) 141 s, (c ) 198 s, (d) `-245s`