Circular Motion of a ball around the earth

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SUMMARY

The discussion centers on calculating the time it takes for a ball to orbit the Earth at a speed of 7920 m/s, just above the surface. The radius of the Earth is given as 6400 km, allowing for the calculation of the circumference. The correct formula to determine the time taken is Time = Distance / Speed, where Distance is the circumference of the Earth. The use of SUVAT equations was deemed unnecessary for this problem.

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  • Understanding of circular motion principles
  • Knowledge of the formula for circumference
  • Familiarity with basic kinematics
  • Ability to manipulate algebraic equations
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  • Calculate the circumference of the Earth using the formula C = 2πr
  • Explore the concept of orbital velocity and its implications
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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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