The angular speed of a rotating platform changes from ω0 = 1.4 rad/s to ω = 8.2 rad/s at a constant rate as the platform moves through an angle Δθ = 8.5 radians. The platform has a radius of R = 16 cm.

a) Calculate the angular acceleration of the platform a in rad/s2.
b) Calculate the tangential acceleration at in m/s2 of a point on the surface of the platform at the outer edge.
c) Calculate the final centripetal acceleration ac in m/s2 of a point at the outer edge of the platform