The angular speed of a rotating platform changes from
ω
0
=
2.8

r
a
d
/
s
to
ω
=
8.8

r
a
d
/
s
at a constant rate as the platform moves through an angle
Δ
θ
=
5.5

r
a
d
i
a
n
s
. The platform has a radius of R = 28 cm.

(a) Calculate the angular acceleration of the platform.

(b) Calculate the tangential acceleration of a point on the surface of the platform at the outer edge.

(c) Calculate the final centripetal acceleration of a point at the outer edge of the platform.