(7%) Problem 14: Water flows through a water hose at a rate of V1 = 560 cm\'s, t

Question

(7%) Problem 14: Water flows through a water hose at a rate of V1 = 560 cm's, the diameter of the hose is d1 = 2.48 cm. A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of vi-9.2 m/s Randomized Variables y] = 560 cm di-2.48 cm v2-9.2 m/s 17% Part (a) Express the cross-sectional area ofthe hose, d, in terms of dl Grade Summary Deductions Potential 0% 100% 7 8 9 Submissions emaining: 3 Attempts r (400 per attempt) detailed view Submit Hint I give up! Hints: -deduction per hint. Hints remaining: Feedback: 5% deduction per feedback. 17% Part (b) Calculate the numerical value of., in cm2 - 17% Part (c) Express the speed of the water inside the hose, v, in terms of VI and - 17% Part (d) Calculate the numerical value of y in ms 17% Part (e) Express the cross-sectional area of the nozzle. A2-in terms of v1. v2 and - 17% Part (f) Calculate the numerical value of.42 in cm

Explanation / Answer

a) A1 = pi * [d12 / 4]

b) A1 = pi * [0.02482 / 4]

A1 = 4.83 cm2

c) speed of water v1 = V1 / A1

d) v1 = 560 / 4.83

v1 = 115.9 cm/s

e) A2 = A1 * (v1 / v2)

f) A2 = A1 * (v1 / v2) = 4.83 * (115.9 / 9.2)

A2 = 0.608 cm2

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