Question

In equation, $r=m^2\sin \left(\pi t\right)$, where $t$ represents time. If the unit of $m$ is $\text{N}$, then the unit of $r$ is

• A. $\text{N}$
• B. ${\text{N}}^2$
• C. $\text{N}s$
• D. ${\text{N}}^{2}s$

Answer 1

The correct option is B ${\text{N}}^2$

In the given equation $r=m^2\sin \left(\pi t\right)$, the trigonometric ratio i.e. $\sin \left(\pi t\right)$ will have some value only and as the unit of $m$ is $\text{N}$, the unit of $r$ will be ${\text{N}}^2$.