Solve v^2=frac{F_{t}}{m}

$$v ^ { 2 } = \frac { F _ { t } } { m }$$

Solve for F_t

$$F_{t}=mv^{2}$$

$$m\neq 0$$

Solution Steps

Multiply both sides of the equation by m.

$$mv^{2}=F_{t}$$

Swap sides so that all variable terms are on the left hand side.

$$F_{t}=mv^{2}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{F_{t}}{v^{2}}\text{, }&F_{t}\neq 0\text{ and }v\neq 0\\m\neq 0\text{, }&v=0\text{ and }F_{t}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by m.

$$mv^{2}=F_{t}$$

The equation is in standard form.

$$v^{2}m=F_{t}$$

Divide both sides by v^{2}.

$$\frac{v^{2}m}{v^{2}}=\frac{F_{t}}{v^{2}}$$

Dividing by v^{2} undoes the multiplication by v^{2}.

$$m=\frac{F_{t}}{v^{2}}$$

Variable m cannot be equal to 0.

$$m=\frac{F_{t}}{v^{2}}\text{, }m\neq 0$$