(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

One of the Niagara turbines uses 172,000 cubic feet of water per minute under a head of 215 ft. What is the horsepower developed?

2. Relevant equations

3. The attempt at a solution

Below is "research findings" and attempt at a solution but I'm a little leary of the 33,000. Can anyone give me some insight if you've done a similar problem.

The total horsepower developed by water falling from a given height is the product of the mass flow rate in pounds per minute times the falling height in feet divided by 33,000. It can be expressed as:

Php = mmin h g / 33000

where

Php = power (horsepower, hp)

mmin = mass flow rate per minute (lbm/min)

h = head or height (ft)

g = acceleration of gravity (9.8)

Convert 172,000 cubic feet of water per minute to pounds per minute: A cubic foot of air is approximately 0.0807 lbs (172,000)(0.0807)=13880.4 lb/minute

Php = (13,880.4)(215)(9.8) / 33000= 8,862.42 hp

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Is there an equation for horsepower?

**Physics Forums | Science Articles, Homework Help, Discussion**