Answer to Question #138336 in Classical Mechanics for Beatriz Martinez-Martin

Question

Dr. P’s grandfather clock has a pendulum of length of 1.0 cm. Determine: (a) its period on earth, (b) its
period on the moon where g = 1.62 m/s2.

Answer 1

Solution

time period is given by

$T=2\pi \sqrt{\frac{l}{g}}$

a) time period on earth

$T_e=2\times3.14\sqrt{\frac{0.01}{9.8}}=0.032s$

b) time period on moon

$T_e=2\times3.14\sqrt{\frac{0.01}{1.62}}=0.078s$