An electric turntable 0.750 m in diameter is rotating about a fixed axis with an initial angular velocity of 0.250 rev/s and a constant angular acceleration of 0.900 rev/s².

a). Compute the angular velocity of the turntable after0.200s

      ω=ω₀ +αt

         = 0.430rev/s

b). Through how many revolutions has the turntable spun in this time interval?

      n=ω₀t+1/2αt²

        =0.068revolutions

c). What is the tangential speed of a point on the rim of the turntable at t=0.200?

      v=rω

        = 0.161rev/s

d). What is the magnitude of the resultant acceleration of a point on the rim at t=0.200s?