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Q#3 (A) a solid 4.0kg wheel of radius of 0.23m is initiallyat rest. formular for

ID: 1672178 • Letter: Q

Question

Q#3 (A) a solid 4.0kg wheel of radius of 0.23m is initiallyat rest. formular for inertia ofsolid wheel is i=1/2 (MR2)(a) howmuch work is required to make it rotate at 3.0rev/s about itscenter axis(b) if the energy of the rotating wheel is doubled , howmany rev/s will it make? (B) An ice skater starts spinning at a rate of 1.5 rev/s withhis arm extended. he then pulls his arm in close to his body.resulting in a decrease of his moment of initia to three quartersits value. what is the skaters final anguler velocity inrad/s? Q#3 (A) a solid 4.0kg wheel of radius of 0.23m is initiallyat rest. formular for inertia ofsolid wheel is i=1/2 (MR2)(a) howmuch work is required to make it rotate at 3.0rev/s about itscenter axis(b) if the energy of the rotating wheel is doubled , howmany rev/s will it make? (B) An ice skater starts spinning at a rate of 1.5 rev/s withhis arm extended. he then pulls his arm in close to his body.resulting in a decrease of his moment of initia to three quartersits value. what is the skaters final anguler velocity inrad/s?

Explanation / Answer

Mass m = 4 kg

Radius r= 0.23 m

Initial speed w ' = 0

Moment of inertia I = ( ½) mr ^ 2

                               = 0.1058 kg m^ 2

Angular speed w = 3 rev / s

                           = 3 * 2(pi) rad / s