A venturi meter is a device for measuring the speed of a fluid within a pipe. Th

Question

A venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at a speed v2 through a horizontal section of pipe whose cross-sectional area A2 = 0.0600 m2. The gas has a density of ? = 1.40 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0500 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 120 Pa. (a) Find the speed v2 of the gas in the larger original pipe. m/s (b) Find the volume flow rate Q of the gas.

Explanation / Answer

(1/2 rho v*2 + rho g h + P)_1 = (1/2 rho v*2 + rho g h + P)_2 the pipe is horizontal so rho g h cancels P2 - P1 = 1/2 rho ( v_1^2 - v_2^2) and v_1 / v_2 = A2 / A1 v_1 = 8/5 v_2 so 150 = 1/2(1.40)(2.56-1)v_2^2 v_2 = sqrt( 300/(1.40*1.56) = 11.7 m/s Q = A*v = 0.0800*11.7 = 0.936 m^3/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.