The Venturi tube discussed in Example 14.8 and shown in Figure P14.49 may be use
ID: 1488818 • Letter: T
Question
The Venturi tube discussed in Example 14.8 and shown in Figure P14.49 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 Times 10^2 kg/m^3) through a hose having an outlet radius of 1.20 cm. If the difference in pressure is measured to be P_1 - P_2 = 1.20 kPa and the radius of the inlet tube to the meter is 2.40 cm, find the speed of the gasoline as it leaves the hose and the fluid flow rate in cubic meters per second.Explanation / Answer
The speed is calculated as follows:
v = [ 2(p - p) / ((1 - (r/r))) ]
= [ 2*1200 / (700(1 - (1.2/2.4)))
= 1.985 m/s
(b)
the fluid rate is,
Q = vr²
= 1.985**(0.024)²
= 3.59×10³ m³/s