Question

A= v2/r rearrange for v​

Answer 1

Answer:

$v=\sqrt{a(r)}$

Explanation:

$a=\frac{v^2}{r}\\ a(r)=\frac{v^2}{r}(r)\\ a(r)=\frac{r(v^2)}{r}\\ a(r)=v^2\\\sqrt{a(r)}=\sqrt{v^2}\\ v=\sqrt{a(r)}$

My steps were:

1. Get rid of any denominators. I did this by multiplying both sides by the value of the denominator, thus canceling it out of the right side. Lines 1-4 showed this process.
2. This problem made it easier, but next I'd get rid of any values other than the one we want isolated. There are no steps in this solution pathway showing this step.
3. If this isolated value has an exponent (usually a square if you're doing physics), use a square root on both sides, thus canceling out the square. Lines 5-6 showed this process.

Answer 2

Explanation:

$a = \frac{{v}^{2}}{r}$

$ar = {v}^{2}$

$\sqrt{ar} = v$