A disk with a rotational inertia of 2.0 kg·m2 and a radius of 0.40 m rotates on a frictionless fixed axis perpendicular to the disk faces and through its center. A force of 5.0 N is applied tangentially to the rim. The angular acceleration of the disk is?

To solve this problem we must apply the concepts related to the torque expressed as a function of the angular acceleration and the moment of inertia as well as the radius and the force. From these two definitions we will seek to find the angular acceleration of the body:

We know that Torque is defined as,

Here,

I = Moment of Inertia

= Angular acceleration

And at the same time, the torque is the product between the force and the radius, then we have

Here,

r = Radius

F = Force

Equation we have,

Rearranging to find the acceleration

Our values are,

Replacing this value at the previous equation

Therefore the angular acceleration of the disk is

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explanation: