# Homework Help: Pendulum on the moon problem

1. Jan 14, 2008

1. The problem statement, all variables and given/known data

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

2. Relevant equations

T = 2 pi sqrt(l/g)

3. The attempt at a solution

do you get...
T / sqrt(6

Last edited: Jan 14, 2008
2. Jan 14, 2008

### rock.freak667

3. Jan 14, 2008

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)

4. Jan 14, 2008

### 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

5. Jan 14, 2008