Question

Determine the pressure and velocity at pipe C

Part A The pressure in the 6-in-diameter pipe at A is 12 psi, and the water column rises to a height of h 38 ft.w 62.4 lb/ft3 Figure 1) Determine the velocity in the pipe at C Express your answer using four significant figures. View Available Hint(s) Figure 1 of 1 Vo5.55 ft,/s Submit Previous Answers X Incorrect: Try Again: 4 attempts remaining 0.5 in. Part B Complete previous part(s)

Answer 1

Applying Bernoulli's equation between the points A and D PA V PDVD Vw 2g Yw 2g F A + ZA + + ZD ZA = 0 20 = 38 +(12) = 38.25 ft. (12)2lb ) = 1728 lb./ft2 Pp = 0 V, = 0 VA = ? Applying the values in the above eqn. 1728 62.4" 2(32.2) 10 + 0 = 0 + 0 + 38.25 VA = 2(3 38.25 – 1728 21 62.4 = 26.075 ft./s

Again applying Bernoulli's equation between the points B and D 2 + ZB 2 - - - + ZD Yw2g Yw 2g 20 = () = 0.25 ft. Pe = 0 Vo = ? 2p = 38 +C) = 38.25 ft. Po = 0 V, = 0 Applying the values in the above eqn. 0+ Vě+0.25 0 + 2(32.2) = 0 + 0 + 38.25 Vo = V2(32.2) (38.25 – 0.25) = 49.469 ft/s

From the continuity eqn. QA = AA VA (x + Qc = Ag V+ AC VC (16/12)*)(20.075) = ((05/12)*)149.469) + (0 (6/12)*) v« Vc = 25.752 ft./s

Now applying Bernoulli's equation between the points A and C ZA = 0 Zc = 0 PA = 12 (2) (917 ) – 1728 Ib./f2 pc = ? VA = 26.075 ft./S V. = 25.752 ft./s Applying the values in the above eqn. 1728 (20 Pc (25 - + 0 = 62.4 2 (32. 62.4 2(32. Pc = (62.4) (1728 + 26073* _ 125.782) - 1744.220 lb.ft? = 174320 = 12.113 Psi 1744.220 1744.220 lb.ft.2 = 12.113 Psi