CH14 - × 10 9 N 4 dF = dmω 2 r =(2 π r ρ h dr)ω 2 r =...

This preview shows pages 1–2. Sign up to view the full content.

2. V = (100 g)(1 g/cm 3 ) =100 cm 3 . Mass of liquid = 115 g, thus ρ = 115/100 = 1.15 g/cm 3 . 5. A = (Y/F)(ΔL/L) = π D 2 /4 leads to D = 1.75 mm 6. B = –ΔP. V/ΔV = +1.05 × 10 9 N/m 2 12. (a) mg = PA, so m/A = P/g = 10.3 × 10 3 kg/m 2 . Since A = 4 π R 2 , M = 5.25 × 10 19 kg. (b) V = 4 π /3 [(R + h) 3 – R 3 ] = 4 π R 2 h m = ρ V, thus h = 8 km. 30. W = (600)(3 ×  3 ×  0.16)g = 864g = 9.47 × 10 3 N F B = ρ f gV = (10 3 )(9.8)(0.8 × 9 ×  0.16) = 11.3 × 10 3 N Thus load is 2.82 × 10 3 N or 288 kg. 36. mg = (950)g(0.12h), thus h = 12.6 cm 41. W = 3(1025)A = 1000Ah, h = 3.075, so Δh = 7.5 cm. 47. A 1 V 1 = A 2 v 2 , v 2 = (2.4)(1.59/1.28) 2 = 3.7 m/s 51. (a) A 1 v 1 = A 2 v 2 , so v 2 = 3.6 m/s (b) P 1 + 1/2 ρ v 1 2 = P 2 + ρ gh + 1/2 ρ v 2 2 Find P 1 = 370 kPa. 53. v 2 = (1.59/1.28) 2 (2.4) = 3.7 m/s. P 1 + 1/2 ρ v 1 2 = 1/2 ρ v 2 2 , so P 1 = 3.79 kPa. Problems 1. dF = W dy( ρ g) (H – y); F = ρ gW (Hy – y 2 ) dy = ρ gWH 2 /2 F = 3.5

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: × 10 9 N 4. dF = dmω 2 r = (2 π r ρ h dr)ω 2 r = dP(2 π rh), thus dP = ρ ω 2 r dr. After integration : P = P a + ρ ω 2 r 2 /2 5. m = ρ s (2 π Rt) (L + r), and F B = mg = ρ f ( π R 2 h)g Fraction = h/L = 2 ρ s t(R + L) / RL ρ f 8. A 1 v 1 = A 2 v 2 gives R 2 v o = r 2 v v 2 = v o 2 + 2gy thus (R 2 v o 2 /r 2 ) 2 = v o 2 + 2gy r 4 = R 4 [1 + 2gy/v o 2 ] –1 10. P B + 1/2 ρ f v B 2 + ρ f g = p A + ρ f gh, so ΔP = 1/2 ρ f v B 2 Also, ΔP = ρ m gh, thus v B = (2 ρ m gh/ ρ f ) 1/2 11. P 1 + 1/2 ρ v 2 + ρ gy + P 2 + 1/2 ρ v 2 ; P 1 = P 2 + P o . v 2 = 2gΔy = 2g (1 – h) Δy =1/2 gt 2 , thus t = 0.09 s; R = vt; t = (2H/g) 1/2 , thus R = 2 [h(H – h) 1/2 ]...
View Full Document

This note was uploaded on 05/01/2011 for the course ELECTRIC MAT351 taught by Professor Ahmettantuni during the Spring '10 term at Abant İzzet Baysal University.

Page1 / 2

CH14 - × 10 9 N 4 dF = dmω 2 r =(2 π r ρ h dr)ω 2 r =...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online