A pressurized cylindrical tank, 5.0 in diameter, contains water which emerges fr

Question

A pressurized cylindrical tank, 5.0  in diameter, contains water which emerges from the pipe at point C, with a velocity of 22 . Point A is 10  above point B and point C is 3  above point B. The area of the pipe at point B is 8×102  and the pipe narrows to an area of 2×102  at point C. Assume the water is an ideal fluid in laminar flow. The density of water is 1000 . In the figure, the gauge pressure in the pipe at point B, in , is closest to:

Explanation / Answer

From continuity eqn between B and C

AB* VB = AC * VC

8×102 * VB = 2×102 * 22

VB = 5.5 m/s

Apply Bernoullis eqn between B and C

(PB / g )+ (VB2 / 2g ) + z B = (PC / g) + ( VC2 / 2g) + z C

(PB / g) + (VB2 / 2g ) + 0 = 0 + (VC2 / 2g) + z C

(PB / 1000*9.8) + (5.52 / 2*9.8 ) = (222 / 2*9.8) + 3

PB = 256.3 kPa = 260 kPa

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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