Question

Solve F=mv^2/R for V

Answer 1

We want to solve for v in

`F=(mv^2)/(R)`

This means we should make v the subject, that is make it stand alone. This becomes

`\begin{gathered} F=(mv^2)/(R) \\ m\text{ultiply both sides by }R,\text{ we have } \\ F* R=(mv^2)/(R)* R \\ R\text{ cancels R in the right hand side of the equation we have } \\ FR=mv^2 \end{gathered}`

Next, we divide both sides by m, we have

`\begin{gathered} FR=mv^2 \\ (FR)/(m)=(mv^2)/(m) \\ m\text{ cancels m, we have } \\ (FR)/(m)=v^2 \\ v^2=(FR)/(m) \end{gathered}`

Lastly, we square root both sides we have

`\begin{gathered} v^2=(FR)/(m) \\ \sqrt[]{v^2}=\sqrt[]{(FR)/(m)} \\ \text{square cancels square root, we have } \\ v=\sqrt[]{(FR)/(m)} \end{gathered}`

Hence the answer is

`v=\sqrt[]{(FR)/(m)}`