Question

If a cycle wheel of radius $4m$ completes one revolution in two seconds then acceleration of the cycle will be:

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

Answer 1

The correct option is C $4{\pi }^{2}m/s^2$

$\omega =\frac{2\pi }{2}=\pi rad/sec$

Centripetal acceleration $={\omega }^{2}r$

$={\pi }^2\times 4$

$=4{\pi }^{2}m/s^2$