Q. 233.7( 3 Votes )

A square plate of mass 120 g and edge 5.0 cm rotates about one of the edges. If it has a uniform angular acceleration of 0.2 rad/s2, what torque acts on the plate?

Answer :

The torque on the plate acted by the mass of 120g is


Given


The mass of the plate is 120g, the edges of the square is 5.0 cm and the angular acceleration is 0.2 rad/sec2


Formula Used


The formula used is that of a torque which tells us the mechanics of force which helps the object to rotate. The formula is



and



where


F is the force applied on the object; r is the radius of the object turning. Turning angle is given by , I is the moment of Inertia, L is the length at which the force is applied.


Explanation


The moment of Inertia of the plate is known as




Now putting the values in the respective variables of mass and edge length is



Hence, the torque produced by the plate is calculated as




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