Question

An automobile engine develops $100kW$ when rotating at a speed of $1800rev/min$. What torque does it deliver?

• A. $350Nm$
• B. $440Nm$
• C. $531Nm$
• D. $628Nm$

Answer 1

The correct option is C $531Nm$

$\omega =1800rev/min=\frac{1800\times 2\pi }{60}rad/s=60\pi rad/s$

$Power=100kW$$=\overrightarrow{\tau }.\overrightarrow{w}$

$\Rightarrow 100\times {10}^3=|\overrightarrow{\tau }|60\pi$

$|\overrightarrow{\tau }|=531Nm$