How Long Does It Take the Second Satellite to Orbit Jupiter?

[trainumc]

i am comlpetely stuck on this problem

Two satellites are in circular orbits around Jupiter. One, with orbital radius r, makes one revolution every 16 h. The other satellite has orbital radius 4.0r. How long does the second satellite take to make one revolution around Jupiter?

any help please?

 

[Hootenanny]

i am comlpetely stuck on this problem

Two satellites are in circular orbits around Jupiter. One, with orbital radius r, makes one revolution every 16 h. The other satellite has orbital radius 4.0r. How long does the second satellite take to make one revolution around Jupiter?

any help please?

Welcome to Physics Forums.

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The homework template is there for a reason. Please use it.

 

[trainumc]

well i don't know how to find the height but for the acceleration i know if

G= 6.67*10^-11
M= 5.97*10^24

then V=sqrt((GM/r)

but my solutions don't seem to be working

 

[Hootenanny]

You're on the right lines, but not quite there yet. I'll offer you a few hints in the right direction.

$$a_c = \omega^2 r$$

$$\omega = \frac{2\pi}{T}$$

Where T is the orbital period.