Question

A constant force of $10\text{N}$ applied on the flywheel of radius $20\text{cm}$ as shown in figure. If the flywheel covers an angular displacement of ${60}^{\circ }$. Calculate the work done on the flywheel.
(Assume $\pi =3$)

• A. $0.67\text{J}$
• B. $1.4\text{J}$
• C. $2\text{J}$
• D. $4\text{J}$

Answer 1

The correct option is C $2\text{J}$

Torque on the flywheel by the force $\left(F\right)$ is :
$\tau =R\times F=0.2\times 10$
$=2\text{N-m}$
Work done by the torque on the flywheel is given by $W$
$W=\tau \times \theta$
$W=2\times (60\times \frac{\pi }{180})W=2\times \frac{\pi }{3}\text{J}$
$W=2\text{J}$