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Question
How fast is water traveling in MPH when being forced through a 2 inch line at a rate of 160 gallons per minute?

Answer
The velocity V of the fluid multiplied by the cross sectional area A of the pipe is equal to the volume flow rate VFR:
V*A=VFR
The cross sectional area is that of a circle:
A=pi*r^2=3.14*1"^2=3.14in^2
While the volume flow rate is:
VFR=160gal/min*231in^2/1gal*1min/60s= 616in^3/s
Solving for the velocity V:
V=VFR/A=616in^3/s/3.14in^2=196in/s*1mile/63369in*3600s/1hr=11.1mph
Lots of unit conversions here! Do some searching on the web to find the conversions.

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James J. Kovalcin

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I am teaching or have taught AP physics B and C [calculus based mechanics & electricity and magnetism] as well as Lab Physics for college bound students. I have a BS in Physics from the University of Pittsburgh and a Master of Arts in Teaching from same. I have been teaching physics for 34 years. I am constantly updating my skills and have a particular interest in modern physics topics.

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