A wheel is a rest. Its angular velocity increases uniformly and becomes `80 rad s^(-1)` after 5 s. The total angular displacement is

Options

A. 800 rad
B. 400 rad
C. 200 rad
D. 100 rad

Answer

C

Explanation

`omega=alphat`
`:. alpha=(omega)/(t)=(80)/(5)=16 "rad s"^(-2)`
`theta=(1)/(2)alphat^(2)=(1)/(2)(16)(5)^(2)=200` rad