A large cylindrical spool of light string is attached to a wall. The radius is 0.3 m and the spool has a mass of 25 kg. A child pulls on the string with a force of 55 N and the spool begins to rotate. Determine its angular acceleration.

The value is  

Explanation:

From the question we are told that

  The radius is  r =  0.30 m

  The mass of the spool is  m =  25 kg

   The force is  F  =  55 N

Generally the torque experienced by the spool is  

Here   is the angular acceleration

is the moment of inertia of the spool which is mathematically represented as

=>  

=>  

Generally the torque experienced by the spool is  also mathematically represented as

So

=>    

=>  

this would be about 43%