mg=mv^2/r Solve for v

Question

I need help with this problem, I dont know how to do it step by step

Answer 1

Divide both sides by m. You get:

 

g  = v²/r

 

Multiply both sides by r:

 

gr = v²

 

Take the square root of both sides:

 

v = √(gr)

Answer 2

First m is common to both sides to remove it.

g=v^2/r

Now isloate v

g/r = v^2

and v is square root of g/r