Suppose you start spinning a disk from rest that has mass of

Suppose you start spinning a disk from rest that has mass of 1.13 kg and a diameter of 20.0 cm in a way that it keeps spinning with a constant angular acceleration of 2.00 rad/s2 . Answer the following parts for the specific moment (an instant) when the disk has completed its second revolution:

Find: The radial acceleration of a point on the rim using the \"angular velocity\" of the rim and any other necessary quantities, if at all such is possible; if it is not possible, enter 0.0000

Solution

When the disk has completed its second revolution that means it has completed 4pi rad angle. So the angular speed at this point will be = sqrt(2*angle*angular acceleration) = sqrt(2*4pi*2) = 7.09 rad/s.

So the radial accelration will be square of angular speed times the radius of the disk. or a_r = 7.09²*0.1 = 5.03 m/s²