Question

A wheel is 0.25 m in radius, when it makes 15 revolutions per minute,its linear speed at a point on circumference is

• A. $\frac{\pi }{2}m/s$
• B. $\frac{\pi }{8}m/s$
• C. $\frac{\pi }{4}m/s$
• D. $\pi m/s$

Answer 1

The correct option is B $\frac{\pi }{8}m/s$

Radius of wheel, $R=0.25m$

Number of revolution per minute, $n=15$

Angular velocity, $v=\frac{n\times 2\pi r}{60}=\frac{15\times 2\pi \times 0.25}{60}=\frac{\pi }{8}m{s}^{-1}$

Hence, angular velocity is $\frac{\pi }{8}m{s}^{-1}$