# Period of pendulum moved to Jupiter's moon Io

## Homework Statement

you are taking your pendulum clock with you to a visit of the jupiter moon Io(radious 3643.2Km, mass 8.94X10^22 kg. calculate the duration of a full Oscillation. On the surface this oscillation time was 1s

T=2*π√l/g[/B]

## The Attempt at a Solution

T1/T2=√(g2/g1)

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haruspex
Homework Helper
Gold Member
T1/T2=√(D1/D2)
=√((Gmr^2/9,81)/D1)
What are D1 and D2, and how do you get the second equation from the first?

D means g . If you divideT1/T2=2*π√l1/g / 2*π√l2/g. the you get the equation

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gneill
Mentor
Moderator's note: I've changed the title of this thread to be more specific and descriptive of the actual problem.

NascentOxygen
Staff Emeritus
D means g . If you divideT1/T2=2*π√l1/g / 2*π√l2/g. the you get the equation
What is l (lower-case L)? What is g?

What is l (lower-case L)? What is g?
L is the length of the pendulum and g is the Gravitational costant

NascentOxygen
Staff Emeritus
It's one pendulum clock that gets transported to Io, so how can there be two different pendulum lengths?

Usually G is the gravitational constant symbol. What numerical value are you using for lower-case g here?

It's one pendulum clock that gets transported to Io, so how can there be two different pendulum lengths?

Usually G is the gravitational constant symbol. What numerical value are you using for lower-case g here?
yes, G differs from Earth to Jupiter's moon Io. For earth, it is 9.81m/s^2... and Io moon is not mentioned. so we need to use gravitational formula to solve it

NascentOxygen
Staff Emeritus

## Homework Statement

you are taking your pendulum clock with you to a visit of the jupiter moon Io(radious 3643.2Km, mass 8.94X10^22 kg. calculate the duration of a full Oscillation. On the Earth's surface this oscillation time was 1s
I have clarified the problem statement here, to present it as I believe would have been intended.

I have clarified the problem statement here, to present it as I believe would have been intended.
i mean that.

NascentOxygen
Staff Emeritus
So you have a final equation for TIo that involves the mass of Io?

So you have a final equation for TIo that involves the mass of Io?
No, I do not have the equation. I am confused.

NascentOxygen
Staff Emeritus
Where's the confusion?

Where's the confusion?

## The Attempt at a Solution

T1/T2=√(g2/g1)

NascentOxygen
Staff Emeritus
You'll need to show the working you followed in deriving that equation, by starting with something that you know to be right.

You'll need to show the working you followed in deriving that equation, by starting with something that you know to be right.
If you divideT1/T2=2*π√l/g1 / 2*π√l/g2. the you get the equation l= radious of the Pendulum and g is the gravitational constant.

NascentOxygen
Staff Emeritus