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 (p = 7.00 x 102 kg/m³) through a hose having an outlet radius of 1.02 cm. The difference in pressure is measured to be P₁ P₂ = 1.90 kPa and the radius of the inlet tube to the meter is 2.04 cm. P₁ P₂ (a) Find the speed of the gasoline as it leaves the hose. 2.40 m/s (b) Find the fluid flow rate in cubic meters per second. 0.0007 m³/s

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Chapter1: Units, Trigonometry. And Vectors
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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 (\(\rho = 7.00 \times 10^2 \, \text{kg/m}^3\)) through a hose having an outlet radius of 1.02 cm. The difference in pressure is measured to be \(P_1 - P_2 = 1.90 \, \text{kPa}\) and the radius of the inlet tube to the meter is 2.04 cm.

The diagram shows a Venturi tube with two pressure gauges labeled \(P_1\) and \(P_2\). The tube has a wider section at the inlet and narrows down at the outlet, illustrating the Venturi effect.

**(a)** Find the speed of the gasoline as it leaves the hose.
\[
2.40 \, \text{m/s}
\]

**(b)** Find the fluid flow rate in cubic meters per second.
\[
0.0007 \, \text{m}^3/\text{s}
\]
Transcribed Image Text: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 (\(\rho = 7.00 \times 10^2 \, \text{kg/m}^3\)) through a hose having an outlet radius of 1.02 cm. The difference in pressure is measured to be \(P_1 - P_2 = 1.90 \, \text{kPa}\) and the radius of the inlet tube to the meter is 2.04 cm. The diagram shows a Venturi tube with two pressure gauges labeled \(P_1\) and \(P_2\). The tube has a wider section at the inlet and narrows down at the outlet, illustrating the Venturi effect. **(a)** Find the speed of the gasoline as it leaves the hose. \[ 2.40 \, \text{m/s} \] **(b)** Find the fluid flow rate in cubic meters per second. \[ 0.0007 \, \text{m}^3/\text{s} \]
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