fluid speed and flow rate questions.?

The Venturi tube shown in the figure below may be used as a fluid flowmeter. Suppose the device is used at a service station to measure the flow rate of gasoline (ρ = 7.00 102 kg/m3) through a hose having an outlet radius of 1.2 cm. The difference in pressure is measured to be P1 − P2 = 1.20 kPa and the radius of the inlet tube to the meter is 2.40 cm.

(a) Find the speed of the gasoline as it leaves the hose.

(b) Find the fluid flow rate in cubic meters per second.

i found a to be 1.91 m/s but am not sure how to go about finding fluid flow rate in cubic meters per second

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  • 8 years ago
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    Assuming your answer to (a) is correct:

    Then

    Volume flow rate = Area x Velocity

    Area of hose = π R^2 = π x 0.012 x 0.012 = 4.524 x 10^ -4 m^2

    VFR = 4.524 x 10^ -4 m^2 x 1.91 m/s = 8.64 x10^ -4 cubic metres per second

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