Question

A circular plate is rotating about its own axis at an angular velocity $100$ revolutions per minute. The linear velocity of a particle P of plate at a distance $4.2cm$ from axis of rotation is:

• A. $0.22m/s$
• B. $0.44m/s$
• C. $2.2m/s$
• D. $4.4m/s$

Answer 1

The correct option is B $0.44m/s$

LInear velocity of the particle related to the angular velocity as,
$v=\omega RAs\omega =100rev/min=\frac{100\times 2\pi }{60}rad/s\therefore v=\frac{100\times 2\pi }{60}\times \frac{4.2}{100}=0.44m/s$