Answer
The precession rate on the moon is 0.0825 rad/s.
Work Step by Step
The precession rate of a gyroscope is: $\omega_p = \frac{gR}{K^2\omega}$. On earth, the precession rate is 0.50 rad/s. We can find the precession rate on the moon.
$\omega_p = \frac{g_mR}{K^2\omega}$
$\omega_p = \frac{0.165~g~R}{K^2\omega}$
$\omega_p = (0.165)(0.50~rad/s)$
$\omega_p = 0.0825~rad/s$
The precession rate on the moon is 0.0825 rad/s.
