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Question

Question: If a cycle wheel of radius 4 m completes one revolution in two seconds. Then acceleration of the cyc...

If a cycle wheel of radius 4 m completes one revolution in two seconds. Then acceleration of the cycle will be

A

π2m/s2\pi^{2}m/s^{2}

B

2π2m/s22\pi^{2}m/s^{2}

C

4π2m/s24\pi^{2}m/s^{2}

D

8πm/s28\pi m ⥂ / ⥂ s^{2}

Answer

4π2m/s24\pi^{2}m/s^{2}

Explanation

Solution

Given r=4mr = 4mand T=2seconds.T = 2\sec ⥂ onds.

ac=4π2T2r=4π2(2)24=4π2m/s2\therefore a_{c} = \frac{4\pi^{2}}{T^{2}}r = \frac{4\pi^{2}}{(2)^{2}}4 = 4\pi^{2}m/s^{2}