Thread: adjusting a clock

A pendulum clock can be approximated as a simple pendulum of length 1.14 m and keeps accurate time at a location where g = 9.90 m/s2. In a location where g = 9.75 m/s2, what must be the new length of the pendulum, such that the clock continues to keep accurate time (that is, its period remains the same)?

Originally Posted by lovinhockey26

A pendulum clock can be approximated as a simple pendulum of length 1.14 m and keeps accurate time at a location where g = 9.90 m/s2. In a location where g = 9.75 m/s2, what must be the new length of the pendulum, such that the clock continues to keep accurate time (that is, its period remains the same)?

if i remember it right, where is the length of the pendulum, is the gravity and is the period.

thus, if you want to solve for the length of the pendulum that will yield the same period at different gravity,


or
or just .. and just plug in the values correspondingly..