Question

A particle is moving along a circular path of radius 6 m with a uniform speed of 8 m/s. The average acceleration when the particle completes one-half of the revolution is ______.

Options

• `16/(3pi)` m/`"s"^2`

• `32/(3pi)` m/`"s"^2`

• `48/(3pi)` m/`"s"^2`

• `64/(3pi)` m/`"s"^2`

Answer 1

A particle is moving along a circular path of radius 6 m with a uniform speed of 8 m/s. The average acceleration when the particle completes one-half of the revolution is `64/(3pi)` m/`"s"^2`.

Explanation: 

Change in velocity,

`Delta`v = 8- (-8) = 16 m/s

Time taken,

`Delta`t = `(pi"r")/"v" = (pi xx6)/ 8 = (3pi)/4`

∴ Average acceleration

=`(Delta"v")/ (Delta "t") = (16xx4)/(3pi ) = 64/(3pi )` m`"s^2`