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Required information

Determine the maximum shearing stress in a solid shaft of $1\mathrm{.}6-$in$.$ diameter as it transmits $90$ hp at a speed of

$($a$)750$ rpm $.$

$($b$)17$ Hz

Angular velocity

$($i$)$ When rotating at $750$ rpm $,$ the angular velocity of the shaft is given as $=7502\frac{}{60}=78\mathrm{.}54(ra\frac{d}{s})$

$($ii$)$ When rotating at $17$ hz $,$ the angular velocity of the shaft is given as $=172=106\mathrm{.}814(ra\frac{d}{s})$

Torque

$(i)$ When rotating at $750$ rpm $,$ the aplied reaction