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 ωα = 9 radians. The platform has a radius of R = 14 cm.
ω0 = 5 rad/s
ω= 8.4 rad/s
ωα = 9 radians
R = 14 cm
(a) Calculate the angular acceleration of the platform α in rad/s2.
(b) Calculate the tangential acceleration αt in m/s2 of a point on the surface of the platform at the outer edge.
(c) Calculate the final centripetal acceleration αc, in m/s2, of a point at the outer edge of the platform.