Question

A wheel initially has an angular velocity of 18 ras/s but it is slowing ar a rate of 2.0rad/s^2 . If it stops in 3 sec it will have turned through how many radian?

Answer 1

The number of radians (d) that the wheel have turned may be calculated by the equation,
                               d = (v1)(t) + 0.5 x a x t²
where v1 is the initial velocity, a is the acceleration, and t is time. Substituting the known values
                               d = (18 rad/s)(3s) + (0.5) x (-2 rad/s²) x (3s)²
The value of d is 63 radians.