Calculate the angular acceleration of the platform alpha in

Question

The angular speed of a rotating platform changes from ω₀ = 5 rad/s to ω = 8.4 rad/s at a constant rate as the platform moves through an angle ω_α = 9 radians. The platform has a radius of R = 14 cm.

ω₀ = 5 rad/s

ω= 8.4 rad/s

ω_α = 9 radians

R = 14 cm

(a) Calculate the angular acceleration of the platform α in rad/s².

(b) Calculate the tangential acceleration α_t in m/s² of a point on the surface of the platform at the outer edge.

(c) Calculate the final centripetal acceleration α_c, in m/s², of a point at the outer edge of the platform.