A copper ball of mass m $$=$$ $$1$$ kg with a radius of r $$=$$ $$10$$ cm rotates with angular velocity ω $$=$$ $$2$$ $$rad/s$$ about an axis passing through its centre. The work should be performed to increase the angular velocity of rotation of the ball two fold is

Question

A copper ball of mass m $$=$$ $$1$$ kg with a radius of r $$=$$ $$10$$ cm rotates with angular velocity ω $$=$$ $$2$$ $$rad/s$$ about an axis passing through its centre. The work should be performed to increase the angular velocity of rotation of the ball two fold is

Infinity Learn · Accepted Answer

K.E. $$=$$ $$12I$$ω$$2If$$ ω is to be doubledTherefore,$$W=$$ ∆K.E. $$=$$ K.$$E.2-K$$.$$E.1$$ $$=$$ $$12I$$[ω$$22$$ $$-$$ω$$1$$ $$2$$] ∆ K.E. $$=$$ $$12$$ $$25mr2$$[ω$$22-$$ω$$21$$]   $$=$$ $$210$$×$$1$$[$$(110)2$$][$$42-22$$] $$=2.4$$ ×$$10-2$$ J

A copper ball of mass m = 1 kg with a radius of r = 10 cm rotates with angular velocity $ω = 2 rad / s$ about an axis passing through its centre. The work should be performed to increase the angular velocity of rotation of the ball two fold is

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A copper ball of mass m = 1 kg with a radius of r = 10 cm rotates with angular velocity ω = 2 rad/s about an axis passing through its centre. The work should be performed to increase the angular velocity of rotation of the ball two fold is

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A copper ball of mass m = 1 kg with a radius of r = 10 cm rotates with angular velocity $ω = 2 rad / s$ about an axis passing through its centre. The work should be performed to increase the angular velocity of rotation of the ball two fold is