Find accel. of g on Saturns Moon.

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Homework Help Overview

The original poster is attempting to calculate the gravitational acceleration at the surface of Saturn's moon Titan, using the formula for gravitational force. They have some data for Saturn but are unsure how to apply it to Titan, particularly regarding the radius needed for calculations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need for Titan's specific physical data and question whether to include Saturn's radius in their calculations. There is also a focus on unit conversion and the expected magnitude of the gravitational acceleration.

Discussion Status

The discussion is ongoing, with participants providing guidance on the correct radius to use and emphasizing the importance of unit consistency. There is no explicit consensus on the approach, but several lines of reasoning are being explored.

Contextual Notes

Participants note that the problem does not provide Titan's physical data, which is necessary for the calculations. There is also mention of potential confusion regarding the use of radii and units in the calculations.

Lance WIlliam
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]1. Homework Statement [/b]

Calculate the gravitational acceleration at the surface of (a) Mercury and (b) Saturn's moon Titan?

Ive found A by using: F=GMm/r^2

a=Gm/r^2

But how do I find saturns moon titan...All i know is saturn mass which is 5.69e26 and radius6.03e7 of staurn, plus orbit radius 1.43e12

these are not given in the problem I have a chart with the main planets info.
I thought i could just use saturns radius plus orbitsal radius for "r" and use that...but it didnt work.
 
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Thankyou ,
but that does give me the Acceleration of G on the Titan.
example: Earth's its 9.81m/s^2
? m/s^2

What should I use for "r" Do I add saturns radius plus What..? Do I need the distance titan is from saturn?
 
You use the radius of Titan. I'd ignore Saturn unless you've been specifically told to include it.
 


ok I did

...G....mass of Titan.../Radius of titan(sq'ed)
a=((6.67259e-11)(1.35e23))/(2.57e3)^2

I get 1.35e6 which is way to big for m/s^2 accel.
 
You've left the radius in kilometers not meters.
 
SHouldnt accel. be a number like 3.5ms/^2 not (a number)e6 or 9 ...it should be a lot smaller?
 
it will be if you use the correct units for the radius.
 

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