First convert gallons to a volumetric unit like cubic ft (ft^3)
7.48 gal per ft^3
Then divide the ft^3 quantity by the cross sectional area of the pipe (converted into square feet ft^2)
This will leave you with linear units of feet. This number of feet must travel past a point in the pipe in one minute to deliver a gallon.
You can then do the time conversion to obtain ft/sec from ft/min.
Consider a cylinder with a diameter equal to the pipe inside diameter. How tall would that cylinder have to be in order to hold a gallon of water. Its the same type of problem only with the added twist that the water is flowing past a point in a given amount of time.
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Use this formula to convert gallons per minute to cubic feet per second:gallons per minute x 0.002228 = cubic feet per second. So; 500 x 0.002228 = about 1.114 cubic feet per second.
-- to convert the feet to inches, multiply by 12-- to convert the minute to second, divide by 60-- combining these operations, take (feet per minute) and multiply by (12/60) = 0.2
Conversion: cm per second x 1.969 = feet per minute
'F' (feet / minute) x (1 minute / 60 seconds) = (F / 60) (feet - minute / minute - second) = F/60 ft/sec -- Take the number of feet per minute. -- Divide it by 60. -- The answer is the number of feet per second.
The flow rate in cubic feet/second is (3*1.5*3) = 14.5 cubic ft/sec. According to Google, there are 6.229 Imperial gallons or 7.481 US gallons in 1 cubic foot. Therefore, the flow rate is 90.32 Imp gallons/sec or 108.47 US gallons/sec. If this many gallons flow per second, then (90.32 x 60) = 5419 Imp gallons flow per 1 minute, or equivalently 6508 US gallons per minute.