A body revolves with a constant speed v in a circular path of radius r . The magnitude of its average acceleration during motion between 2 points in diametrically opposite direction is --- ??

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A08
Jul 31, 2018

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Explanation:

Acceleration is defined as rate of change of velocity.

Speed of the body is given to be constant. At diametrically opposite points velocity will be in opposite direction.
We can choose coordinate axes so that these velocities are #−vecvandvecv#.
Change in velocity #vecv-(-vecv)=2vecv#.
Time taken to move half circumference #=(πr)/(|vecv∣)#

#:.|veca∣ =(2|vecv|)/((πr)/(|vecv∣))#
#=>|veca∣ =(2v^2)/(πr)#

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