CENG 101A HOMEWORK # 1 D.MILLER FALL 2009 9/24/09 Due : Thursday, 10/1/00 , by 5pm Read : Chap 1 at 380 EBU II, or earlier in class. NO late homework accepted ! , Chap 2, Chap 3, and the handout Brief Math Review Problems : 1.14; 2.6; 2.11; 2.12 (compute P G in psi) ; 2.15; 2.19a (pt `a' only); (work out the review problems) AND A. Determine the numerical Special Problems: ratio and a long liquid cylindrical jet, both of radius r ; excess pressure is ΔP = P inside- P outside . ( Δ P drop / Δ P jet ) of the excess pressures due to surface tension for a liquid drop B. For text problem 2 . 16, determine the tension T in the string holding the balloon (a) when the container is not accelerating; (b) when it accelerates to the right with acceleration a=3g/4. Neglect the balloon weight , assume the balloon volume V = 0 . 1 m 3 , ρ water = 1000 kg/m 3 , and express answers in newtons (N). Note: Specific gravity, SG = ρ / ρ water ; ρ water ~ 62.4 lbm/ft 3 ~ 1000 kg/m 3 . Mercury has SG = 13 . 6 Selected Answers ( ~ means “close to”, within a factor of 2 1.14 : part(b ) ans = -13 [take dot product of ∇ Ø and a unit vector at -600 ; evaluate result at (x,y) = (3,5) ] , but you are to obtain the correct result): 2.6 : P G ~ 2 MPa ; 2.11 : h ~ 25 inches ; 2.12
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