How Does a Pendulum's Period Change on the Moon?

[alksjadf]

Homework Statement

on the moon the acceleration of gravity = g/6 if a pendulum has a period T on Earth what will its period be on the moon

Homework Equations

T = 2 pi sqrt(l/g)

The Attempt at a Solution

do you get...
T / sqrt(6

 

[rock.freak667]

How did you arrive at your answer? Though your answer is wrong, you have all that is needed in the answer(i.e. sqrt(6) and T are needed)

 

[alksjadf]

ok well i did

T= 2pi sqrt(L/(g/6))
T=2pi sqrtl/g) * sqrt 6
T/sqrt 6 = Period

where Period = 2pi sqrt (l/g)

 

[rock.freak667]

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

and the period you want
$$T'=2\pi \sqrt {\frac{l}{\frac{g}{6}}}$$

$$T'=2\pi \sqrt{\frac{l}{g}} *\sqrt{6}$$

so that

$$T'=\sqrt{6}T$$

Where T is the period on Earth

 

[alksjadf]

oh ok I understand, and i Have another question on pendulums.

A pendulum of length L is suspended from the ceiling of an elevator. When the elevator is at res the period of the pendulum is T. how does the period of the pendulum change when the elevator moves upward with a constant speed?

 

[lasershadow]

If the elevator moves upward at a constant speed, what is the acceleration of the system? Are there any new forces acting on the pendulum?