Water flows through a water hose at a rate of Q1 = 520 cm3/s, the diameter of the hose is d1 = 2.13 cm. A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of v2 = 8.8 m/s.a. a) Enter an expression for the cross-sectional area of the hose, A1, in terms of its diameter, d1. b) Calculate the numerical value of A1, in square centimeters. c) Enter an expression for the speed of the water in the hose, v1, in terms of the volume flow rate Q1 and cross-sectional area A1. d) Calculate the speed of the water in the hose, v1 in meters per second e) Enter an expression for the cross-sectional area of the nozzle, A2, in terms of v1, v2 and A1. f) Calculate the cross-sectional area of the nozzle, A2 in square centimeters.
Water flows through a water hose at a rate of Q1 = 520 cm3/s, the diameter of the hose is d1 = 2.13 cm. A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of v2 = 8.8 m/s.a. a) Enter an expression for the cross-sectional area of the hose, A1, in terms of its diameter, d1. b) Calculate the numerical value of A1, in square centimeters. c) Enter an expression for the speed of the water in the hose, v1, in terms of the volume flow rate Q1 and cross-sectional area A1. d) Calculate the speed of the water in the hose, v1 in meters per second e) Enter an expression for the cross-sectional area of the nozzle, A2, in terms of v1, v2 and A1. f) Calculate the cross-sectional area of the nozzle, A2 in square centimeters.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 50PQ
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Water flows through a water hose at a rate of Q1 = 520 cm3/s, the diameter of the hose is d1 = 2.13 cm. A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of v2 = 8.8 m/s.a.
a) Enter an expression for the cross-sectional area of the hose, A1, in terms of its diameter, d1.
b) Calculate the numerical value of A1, in square centimeters.
c) Enter an expression for the speed of the water in the hose, v1, in terms of the volume flow rate Q1 and cross-sectional area A1.
d) Calculate the speed of the water in the hose, v1 in meters per second
e) Enter an expression for the cross-sectional area of the nozzle, A2, in terms of v1, v2 and A1.
f) Calculate the cross-sectional area of the nozzle, A2 in square centimeters.
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Step 1: Part A - Cross-Sectional Are of the Hose
VIEWStep 2: Part B - Numerical value of cross-section area
VIEWStep 3: Part C- Expression for speed of water
VIEWStep 4: Part D - Speed of water in the hose
VIEWStep 5: Part E - Expression for the cross-sectional area of the nozzle
VIEWStep 6: Part F - Cross-sectional area of the nozzle
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