Circular Motion of a ball around the earth

AI Thread Summary
To calculate the time it takes for a ball to orbit the Earth at a speed of 7920 m/s, one can use the formula Time = Distance / Speed. The circumference of the Earth, which is essential for this calculation, can be determined using the Earth's radius of 6400 km. The discussion highlights that using SUVAT equations is unnecessary for this problem. The correct approach is straightforward, relying on basic distance and speed calculations. This method simplifies the process and avoids complications from more complex equations.
Psycotic.Goth
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Homework Statement


Calculate thow long it would take a ball to orbit the Earth once , just above the surface , at a speed of 7920 ms^-1 . The radius of Earth is 6400km.


Homework Equations


Well I am not sure to be honest.


The Attempt at a Solution


I tried using S=ut+1/2(a)(t)^2

Then used (-b +/- √b^2-4ac)/2a

But got stuck in (-b +/- √b^2-4ac)/2a because got a negative sign answer in the √

Cant find a formula in the book for this - probably have to manipulate some other formulas, but as I said I am not sure
 
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If you know the radius of the earth, you can calculate the circumference.

You know the speed of the ball.

With those two pieces of data you can calculate the time taken to complete the journey:

Time = Distance / Speed

No need for SUVAT equations here.

Jared
 
Thanks a lot Jared - I feel dumb now for using SUVAT lol

-PsyG
 
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