The members of these forums are from all walks of life and many skill and education levels.
I have seen the need many times for a simple straight forward method of explaining Horsepower and Torque.
I will attempt to accomplish that goal here:
Power is the Rate of Doing Work
Work is the Force exerted through a distance.
One foot pound is a unit of WORK
It is the WORK performed exerting a pound of force of one pound through a distance of one foot.
The amount of WORK done (Foot Pounds) is the FORCE(pounds) exerted, multiplied by the Distance through which the FORCE acts.
The amount of POWER used (Foot Pounds per Minute) is the WORK( foot pounds) performed divided by the amount of time(Minutes required to perform the work.)
So POWER (foot pounds per minute= WORK (Ft Lbs)/TIME(minutes)
Power is usually expressed in terms of Horsepower
(I am Showing my age here with the old fashioned units
Convert to Metric or ISO units if you like) I am simply telling it like I learned it.
Horsepower is POWER divided by 33000.(I will not go into the history of that unit here).
So Horsepower is also equal to WORK(Ft Pounds)/33000X Time(minutes)
OR
FORCE(lbs) x DISTANCE(feet)/33000xtime(minutes)
TORQUE is the PRODUCT of a FORCE(W) in pounds times a Radius(R) in inches from the center of a shaft and is expressed ain INCH POUNDS.
If the shaft is rotated,the FORCE is moved through distance and WORK is performed.
WORK (ft Pounds) =Wx2PiR X the number of revolutions of the shaft.
When this WORK is performed in a certain time, POWER is USED.
POWER (ft Lb.Min)= W x 2Pi R / 12X the number of shaft revolutions per minute(RPM)
Thus, since 1 HORSEPOWER = 33000 foot Pounds per minute, it is also equal to W X 2PiR/12 X RPM/33000 or WxRxRPM/63,025
BUT.......TORQUE (inch Pounds) =FORCE(W) x RADIUS(R)
Thus, HORSEPOWER (HP) = TORQUE(T) X RPM /63,025
I tried to proofread this for errors, but I may have overlooked some.Please make corrections if needed.I will not be offended in any way.Credit must go to my teachers and instructors from a bygone era for drilling the basics into my thick skull, along with some good reference materials from a Boston Gear Works Company catalog from (c)1963.
I hope some members find this information useful as they begin their journey into engineering.
HiTekRedNek