# How does power relate to torque?

##### 1 Answer

Jun 9, 2015

#### Explanation:

Let T be the torque.

Let N be the speed in r.p.m

Let r be the radius.

Let S be the circumference.

Hence S=2∏r*_*** _**(1)

We all know that

T=r × F

T=r×W/S [since work-done=force×displacement]

T=r×W/2∏r [since from equation1]

T=W/2∏

T=power×time/2∏

but time=60/N

T=Power×60/2∏N

Torque=Power/ω [where ω=2∏N/60]

Tω=P

From above equation,

If we increase the torque at constant angular velocity,then power also increases.