# Period of pendulum moved to Jupiter's moon Io

Tags:
1. Dec 3, 2016

### robax25

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

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
2. Relevant equations
T=2*π√l/g

3. The attempt at a solution
T1/T2=√(g2/g1)

Last edited: Dec 3, 2016
2. Dec 3, 2016

### haruspex

What are D1 and D2, and how do you get the second equation from the first?

3. Dec 3, 2016

### robax25

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

Last edited: Dec 3, 2016
4. Dec 3, 2016

### Staff: Mentor

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

5. Dec 3, 2016

### Staff: Mentor

What is l (lower-case L)? What is g?

6. Dec 3, 2016

### robax25

L is the length of the pendulum and g is the Gravitational costant

7. Dec 3, 2016

### Staff: Mentor

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?

8. Dec 3, 2016

### robax25

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

9. Dec 3, 2016

### Staff: Mentor

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

10. Dec 3, 2016

### robax25

i mean that.

11. Dec 3, 2016

### Staff: Mentor

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

12. Dec 3, 2016

### robax25

No, I do not have the equation. I am confused.

13. Dec 3, 2016

### Staff: Mentor

Where's the confusion?

14. Dec 3, 2016

### robax25

3. The attempt at a solution
T1/T2=√(g2/g1)

15. Dec 3, 2016

### Staff: Mentor

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

16. Dec 3, 2016

### robax25

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.

17. Dec 3, 2016

### Staff: Mentor

Okay, so you need formulae or equations for g1 and g2 . What formula can you use for this?

18. Dec 3, 2016

### robax25

g=GM/r^2

19. Dec 3, 2016

### Staff: Mentor

Go ahead and see whether you can now finish this.