A 2.66 kg, 22.25 cm diameter turntable rotates at 238 rpm on frictionless bearings. Two 420 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diagonal, and stick. What is the turntable's angular velocity, in rpm, just after this event

The value is

Explanation:

From the question we are told that

  The mass is  

  The diameter is  

   The angular speed is  

   The mass of each of the blocks is

Generally the radius of the turntable  is mathematically represented as

=>    

=>    

The moment of inertia of the turntable before the blocks fell is mathematically represented as

=>      

=>      

The moment of inertia of the turntable after the blocks fell is mathematically represented as

=>      

=>      

Generally from the law of angular momentum conservation  

Here is the initial  angular momentum of the turntable  before the blocks fell which is mathematically represented as

and   is the initial  angular momentum of the turntable after the blocks fell which is mathematically represented as

So

=>