Fluid Flow & Continuity Equation Video Lessons

Concept

# Problem: 1.  Water flows through a water hose at a rate of Q1 = 620 cm3/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 v2 = 14.8 m/s.a. Enter an expression for the cross-sectional area of the hose, A1, in terms of its diameter, d1.  A1=b. Calculate the numerical value of A1, in square centimeters.A1=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.v1=d.Calculate the speed of the water in the hose, v1 in meters per second.v1=e.Enter an expression for the cross-sectional area of the nozzle, A2, in terms of v1, v2 and A1.A2=f. Calculate the cross-sectional area of the nozzle, A2 in square centimeters.A2=

###### FREE Expert Solution

(a)

Cross-section of the hose is a circle.

Area of a circle is:

A = πr2

In this case, r = d1/2

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###### Problem Details

1.  Water flows through a water hose at a rate of Q1 = 620 cm3/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 v2 = 14.8 m/s.

a. Enter an expression for the cross-sectional area of the hose, A1, in terms of its diameter, d1.

A1=

b. Calculate the numerical value of A1, in square centimeters.

A1=

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.

v1=

d.Calculate the speed of the water in the hose, v1 in meters per second.

v1=

e.Enter an expression for the cross-sectional area of the nozzle, A2, in terms of v1v2 and A1.

A2=

f. Calculate the cross-sectional area of the nozzle, A2 in square centimeters.

A2=