Question

A plate clutch is used to connect a motor shaft running at 1500rpm to shaft 1. The motor is rated at 4 hp. Using a service factor, k=2.75 specify the torque rating for the clutch in lb-in.

Answer 1

`(M_t)_(rated)=61.11lb-in`

Step-by-step explanation:

speed of motor (N)=1500 rpm

power=4 hp =
`4 * 0.7457` =2.9828 KW

service factor(k)= 2.75

now,

`KW=(2\pi n M_t)/(60 * 10^6) \\2.9828=(2\pi * 1500 M_t)/(60 * 10^6)\\M_t=(2.9828* 60 * 10^6)/(2\pi * 1500 )`

`M_t= 18,989.09 \ N-mm= 168.06 lb-in`

torque rating

`(M_t)_(design)=k_s* (M_t)_(rated)\\168.06= 2.75* (M_t)_(rated)\\(M_t)_(rated)=(168.06)/(2.75) \\(M_t)_(rated)=61.11lb-in`