Two wheels have the same mass and radius of 4.1 kg and 0.37 m, respectively. one has (a) the shape of a hoop and the other (b) the shape of a solid disk. the wheels start from rest and have a constant angular acceleration with respect to a rotational axis that is perpendicular to the plane of the wheel at its center. each turns through an angle of 14 rad in 8.7 s. find the net external torque that acts on each wheel.

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10-11-2017
Physics

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Two wheels have the same mass and radius of 4.1 kg and 0.37 m, respectively. one has (a) the shape of a hoop and the other (b) the shape of a solid disk. the wheels start from rest and have a constant angular acceleration with respect to a rotational axis that is perpendicular to the plane of the wheel at its center. each turns through an angle of 14 rad in 8.7 s. find the net external torque that acts on each wheel.

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W0lf93 W0lf93 · Answer 1 · 2017-11-21T14:32:28+01:00

Since the wheel start from rest. angular acceleration, Î¸=1/2Î±tÂ˛ 14=1/2Î± x 8.7Â˛ Î±= 0.3699 rad/sÂ˛ moment of inertia of loop= mrÂ˛= 4.1x0.37=1.517 kgmÂ˛ torque=T= lÎ± T= 0.5611Nm= 0.56Nm to significant figure Disc moment of inertia of disc= 1/2mrÂ˛ Required torque value= 0.28Nm So, I= 1/2X 4.1X 0.37Â˛= 0.280 KgmÂ˛ T= IÎ± = 0.280 X 0.3699= 0.10 to two significant figure