F=(mv^2)/r solve for v step by step.

Question

asked Oct 8, 2020 165k views

1 Answer

Ahoxha · Answer 1 · 2020-10-14T11:58:21+0000

For this case we have the following equation:

$F = \frac {mv ^ 2} {r}$

We must clear the value of the variable v:

Multiplying by "r" on both sides we have:

rF = m * v ^ 2

Dividing between "m" on both sides:

$\frac {rF} {m} = v ^ 2$

Applying square root to both sides:

$v = \pm \sqrt {\frac {rF} {m}}$

Thus, the solutions are:

$v_ {1} = \sqrt {\frac {rF} {m}}\\v_ {2} = - \sqrt {\frac {rF} {m}}$

Answer:

$v_ {1} = \sqrt {\frac {rF} {m}}\\v_ {2} = - \sqrt {\frac {rF} {m}}$