Explanation:
The given data is as follows.
M = 35 kg, radius (r) = 2.2 m,
m = 17 kg, = 11 rad/s
We assume that will be the final angular speed.
Now, according to the conservation of angular momentum.
or,
Putting the given values into the above formula as follows.
or,
=
= 7.58 rad/s
Thus, we can conclude that the angular speed of the clay and turntable is 7.58 rad/s.