The discussion revolves around calculating the period of a pendulum clock when transported to Jupiter's moon Io, given its radius and mass. The original poster notes that the oscillation time on Earth is 1 second.
The conversation is ongoing, with participants expressing confusion about the equations and the necessary variables. Some guidance has been offered regarding the gravitational formula, but no consensus or final equation has been reached yet.
Participants note the need for specific values of gravitational acceleration on Io, which are not provided in the original problem statement. There is also a mention of the gravitational constant and its variation between different celestial bodies.
What are D1 and D2, and how do you get the second equation from the first?robax25 said:T1/T2=√(D1/D2)
=√((Gmr^2/9,81)/D1)
What is l (lower-case L)? What is g?robax25 said:D means g . If you divideT1/T2=2*π√l1/g / 2*π√l2/g. the you get the equation
L is the length of the pendulum and g is the Gravitational costantNascentOxygen said:What is l (lower-case L)? What is g?
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 itNascentOxygen said: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?
I have clarified the problem statement here, to present it as I believe would have been intended.robax25 said: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 mean that.NascentOxygen said:I have clarified the problem statement here, to present it as I believe would have been intended.
No, I do not have the equation. I am confused.NascentOxygen said:So you have a final equation for TIo that involves the mass of Io?
NascentOxygen said:Where's the confusion?
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 said:You'll need to show the working you followed in deriving that equation, by starting with something that you know to be right.