Question

A flow meter is attached in a hydraulic line that measures 18 gal/min. The line has an inside diameter of 1. 0 in. What is the flow velocity measured as in/min at the meter? (1 gallon = 231 in3)

_____ in/min

(precision to the nearest whole number​

Answer 1

To find the flow velocity of the fluid in the line, we need to use the equation for flow rate, which is given by

• flow rate = volume flow rate/area.

Since the flow meter is measuring the volume flow rate of the fluid in gallons per minute, and 1 gallon is equal to 231 cubic inches, the volume flow rate in cubic inches per minute is

• 18 gal/min * 231 in3/gal = 4178 in3/min.

To find the flow velocity, we need to divide this volume flow rate by the cross-sectional area of the line. The cross-sectional area of a circle is given by A = pi * r^2, where r is the radius of the circle. Since the diameter of the line is 1.0 inches, the radius is 1.0 inches / 2 = 0.5 inches. Plugging this value into the equation for the area gives us:

• A = pi * r^2

= pi * (0.5 inches)^2

= 0.785 inches^2

We can now use the equation for the flow rate to find the flow velocity:

• flow velocity = volume flow rate/area

= 4178 in3/min / 0.785 inches^2

= 5327 in/min

Rounding to the nearest whole number, we find that the flow velocity at the meter is 5327 inches per minute.