1). Use the definition 1 Horsepower = 746 watts
100 watts = (100/746) HP = <em>0.134 Horsepower</em>
2). Use the definition Power = (work done) / (time to do the work)
and the definition Work = (force) x (distance moved)
(3,000 N x 5 m) / second
= (3,000 x 5 N-m) / second
= (15,000 joules) / second
= 1<em>5,000 watts</em>
3). Use the definition Power = (work done) / (time to do the work) , and the definition Work = (force) x (distance moved) , and the 'customary' definition of 1 Horsepower = 550 foot-pounds per second.
Let the answer ... the number of gallons ... be called ' G ' until we know what it actually is.
Weight of water lifted in 1 minute = (G gallons) x (8.34 pounds/gallon)
The distance it's lifted = 30 feet
Work done in 1 minute = (force x distance) = (8.34G x 30) foot-pounds
In just a moment, we're going to need this in seconds:
Power = (8.34G x 30 foot-pounds/minute) x (1 minute / 60 seconds)
Power = (8.34G x 30/60) (foot-pound-minute/minute-sec)
Power = 4.17G foot-pound/sec
The power = 1/2 Horsepower = 225 foot-pounds / sec
So finally, 225 = 4.17G
Divide each side by 4.17, and we have
G = (225/4.17) gallons
<em>G = 53.96 gallons</em>
I really should check this over, but I've had it up to here with gallons, feet, horsepower, and pounds, so I'm not gonna do it. Read my lips. It is what it is. I stand or fall by my answer. What could go wrong ? !
