Period of pendulum moved to Jupiter's moon Io

[robax25]

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

Homework Equations

T=2*π√l/g[/B]

The Attempt at a Solution

T1/T2=√(g2/g1)

 

[haruspex]

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?

 

[robax25]

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

 

[gneill]

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

 

[NascentOxygen]

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?

 

[robax25]

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

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

 

[NascentOxygen]

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?

 

[robax25]

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]

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.

 

[robax25]

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

i mean that.

 

[NascentOxygen]

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

 

[robax25]

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

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

 

[NascentOxygen]

Where's the confusion?

 

[robax25]

Where's the confusion?

The Attempt at a Solution

T1/T2=√(g2/g1)

How I can go ahead?

 

[NascentOxygen]

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

 

[robax25]

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]

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

 

[robax25]

g=GM/r^2

 

[NascentOxygen]

Go ahead and see whether you can now finish this.