Suppose that an object in free fall were somehow equipped with a speedometer. By how much would its speed readings increase with
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To solve the problem it is necessary to apply the concepts given in the kinematic equations of angular motion that include force, acceleration and work.
Torque in a body is defined as,
And in angular movement like
Where,
F= Force
d= Distance
I = Inertia
Acceleration Angular
PART A) For the given case we have the torque we have it in component mode, so the component in the X axis is the net for the calculation.
On the other hand we have the speed data expressed in RPM, as well
Acceleration can be calculated by
In the case of Inertia we know that it is equivalent to
Matching the two types of torque we have to,
PART B) The work performed would be calculated from the relationship between angular velocity and moment of inertia, that is,