A particle is moving along a circle of fixed radius such thta the power 'P' delivered by all the forces acting on it varies with time t as shown in figure. The angular acceleration `alpha `of the particle varies as:

Options

A. `t^(1/2)`
B. `t^(-1/2)`
C. `t`
D. `t^(3/2)`

Answer

`(2)`

Explanation

According to graph shown
`P = tau omega = constant`
`alpha = P /omega I`
`alpha = P /atI(because omega = alpha t)`
`a^(2) = P /It Rightarrow a = (sqrt(P/I))t ^(-1/2)`