Answer :

The time taken to attain equal angular speed is 25 sec


Given


The wheel rotates at a speed angular speed of 50 rev/s, at constant torque both acting in positive and negative acceleration.


Formula Used


The formula used is same as that of the formula for the relationship of velocity and acceleration in basic kinematics.



where


The initial velocity of the motion is denoted by ω and the final velocity is denoted by ω0


Explanation


First let us find the angular velocity of the first cylinder




The time taken for the two cylinders to have equal velocity is





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