Problem $4($Textbook $3-57)$

Using a maximum allowable shear stress of $70$ MPa $,$ find the shaft diameter needed to transmit

$40$ kW when

$($a$)$ The shaft speed is $2500re\frac{v}{m}in.$

$($b$)$ The shaft speed is $250re\frac{v}{m}in.$

Using a maximum allowable shear stress of $70$ MPa $,$ find the shaft diameter needed to transmit

$40$ kW when

$($a$)$ The shaft speed is $2500re\frac{v}{m}in.$

$($b$)$ The shaft speed is $250re\frac{v}{m}in.$

please use this convenient conversion with speed in rpm

$T=9\mathrm{.}55\frac{H}{n}$

where $H=$ power, w

$n=$ angular velocity, revolutions per minute