Two shafts having an included angle of 150° are connected by a Hooke’s joint. The driving shaft runs at a uniform speed of 1500 r.p.m. The driven shaft carries a flywheel of mass 12 kg and 100 mm radius of gyration. Using the above data, calculate the maximum angular acceleration of the driven shaft in rad/s^2.

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Two shafts having an included angle of 150° are connected by a Hooke’s joint. The driving shaft runs at a uniform speed of 1500 r.p.m. The driven shaft carries a flywheel of mass 12 kg and 100 mm radius of gyration. Using the above data, calculate the maximum angular acceleration of the driven shaft in rad/s^2.

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Greg · Answer 1 · 2022-10-20T21:10:10+0000

Right option is (a) 6853

Easy explanation: α = 180 -150 = 30⁰

cos2θ = 2sin^2 α/1-sin^2 α = 0.66

angular acc = dω/dt

= 6853.0 rad/s^2.

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