Solve w^2r/frac{v^2{r}}

$$\frac { w ^ { 2 } r } { \frac { v ^ { 2 } } { r } }$$

Evaluate

$$\left(\frac{rw}{v}\right)^{2}$$

Solution Steps

Divide w^{2}r by \frac{v^{2}}{r} by multiplying w^{2}r by the reciprocal of \frac{v^{2}}{r}.

$$\frac{w^{2}rr}{v^{2}}$$

Multiply r and r to get r^{2}.

$$\frac{w^{2}r^{2}}{v^{2}}$$

Differentiate w.r.t. w

$$2\times \left(\frac{r}{v}\right)^{2}w$$