Question

A cycle wheel of radius 0.4 m completes one revolution in one second then the acceleration of a point on the cycle wheel will be

• A. $0.8m/s$
• B. $0.4m/s$
• C. $1.6{\pi }^{2}m/s^2$
• D. $0.4{\pi }^{2}m/s^2$

Answer 1

Answer: (C)

$1.6{\pi }^{2}m/s^2$

Centripetal acceleration $=4{\pi }^2{n}^{2}r$

where n is number of revolution and r is radius

Centripetal acceleration $=4{\pi }^2{n}^{2}r=4{\pi }^2\times \left(1\right)\times 0.4=1.6\pi$