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Required information

Determine the maximum shearing stress in a solid shaft of $1\mathrm{.}7-$in$.$ diameter as it transmits $90hp$ at a speed of

$($a$)740rpm.$

$($b$)18Hz$

Angular velocity.

$($i$)$ When rotating at $740rpm,$ the angular velocity of the shaft is given as $=7402\frac{}{60}=77\mathrm{.}493($rad$/$s$)$

$($ii$)$ When rotating at $18hz,$ the angular velocity of the shaft is given as $=182=113\mathrm{.}097(ra\frac{d}{s})$

Torque

$(i)$ When rotating at $740rpm,$ the aplied reaction