Question

If a cycle wheel of radius $4\,m $ 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 \,\,m/s^{2}$

Answer 1

The Correct Option is C

Here : Frequency of revolution $t=\frac{1}{2} rev / \sec$ Radius of wheel of cycle $r=4\, m$ The acceleration of the wheel is given by $=r \omega^{2}=r \times(2 \pi f)^{2}$ $=4 \times\left(2 \times \pi \times \frac{1}{2}\right)^{2}$ $=4 \pi^{2} m / s ^{2}$