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A 6.0 cm diameter horizontal pipe gradually narrows to 4.0 cm.When water flows through this pipe at a certain rate, the gaugepressure in these two sections is 32.0 k Pa and 24.0 k Pa,respectively. What is the volume rate of flow?
Relevant Questions
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In an industrial cooling process, water is circulated through a system. If the water is pumped with a speed of 0.45 m/s under a pressure of 400 torr from the first floor through a 6.0-cm diameter pipe, what will be the pressure on the next floor 4.0 m above in a pipe with a diameter of 2.0 cm?
asked 2021-04-04
Water at a pressure of \(\displaystyle{3.00}\times{10}^{{5}}\) Pa flows through a horizontal pipe at a speed of 1.00 m/s. the pipe narrows to 1/4 its original diameter. Find the following:
A. The flow speed in the narrow section
B. the pressure in the narrow section
A. The flow speed in the narrow section
B. the pressure in the narrow section
asked 2020-12-29
A 6cm diameter horizontal pipe gradually narrows to 4cm. Whenwater flows throught this pipe at a certain rate, the guagepressure in these two sections is 32.0kPa and 24kPa respectively.What is the volume rate of flow?
asked 2021-06-10
Water flows through a water hose at a rate of \(Q_{1}=680cm^{3}/s\), the diameter of the hose is \(d_{1}=2.2cm\). A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of \(v_{2}=9.2m/s\).
a) Enter an expression for the cross-sectional area of the hose, \(A_{1}\), in terms of its diameter, \(d_{1}\)
b) Calculate the numerical value of \(A_{1},\) in square centimeters.
c) Enter an expression for the speed of the water in the hose, \(v_{1}\), in terms of the volume floe rate \(Q_{1}\) and cross-sectional area \(A_{1}\)
d) Calculate the speed of the water in the hose, \(v_{1}\) in meters per second.
e) Enter an expression for the cross-sectional area of the nozzle, \(A_{2}\), in terms of \(v_{1},v_{2}\) and \(A_{1}\)
f) Calculate the cross-sectional area of the nozzle, \(A_{2}\) in square centimeters.
a) Enter an expression for the cross-sectional area of the hose, \(A_{1}\), in terms of its diameter, \(d_{1}\)
b) Calculate the numerical value of \(A_{1},\) in square centimeters.
c) Enter an expression for the speed of the water in the hose, \(v_{1}\), in terms of the volume floe rate \(Q_{1}\) and cross-sectional area \(A_{1}\)
d) Calculate the speed of the water in the hose, \(v_{1}\) in meters per second.
e) Enter an expression for the cross-sectional area of the nozzle, \(A_{2}\), in terms of \(v_{1},v_{2}\) and \(A_{1}\)
f) Calculate the cross-sectional area of the nozzle, \(A_{2}\) in square centimeters.
asked 2021-11-15
Water flowing through a 2.0-cm-diameter pipe can fill a 300 L bathtub in 5.0 min. What is the speed of the water in the pipe?
asked 2021-08-12
Water flows through a water hose at a rate of \(\displaystyle{Q}_{{{1}}}={680}{c}\frac{{m}^{{{3}}}}{{s}}\), the diameter of the hose is \(\displaystyle{d}_{{{1}}}={2.2}{c}{m}\). A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of \(\displaystyle{v}_{{{2}}}={9.2}\frac{{m}}{{s}}\).
a) Enter an expression for the cross-sectional area of the hose, \(\displaystyle{A}_{{{1}}}\), in terms of its diameter, \(\displaystyle{d}_{{{1}}}\)
b) Calculate the numerical value of \(\displaystyle{A}_{{{1}}},\) in square centimeters.
c) Enter an expression for the speed of the water in the hose, \(\displaystyle{v}_{{{1}}}\), in terms of the volume floe rate \(\displaystyle{Q}_{{{1}}}\) and cross-sectional area \(\displaystyle{A}_{{{1}}}\)
d) Calculate the speed of the water in the hose, \(\displaystyle{v}_{{{1}}}\) in meters per second.
e) Enter an expression for the cross-sectional area of the nozzle, \(\displaystyle{A}_{{{2}}}\), in terms of \(\displaystyle{v}_{{{1}}},{v}_{{{2}}}\) and \(\displaystyle{A}_{{{1}}}\)
f) Calculate the cross-sectional area of the nozzle, \(\displaystyle{A}_{{{2}}}\) in square centimeters.
a) Enter an expression for the cross-sectional area of the hose, \(\displaystyle{A}_{{{1}}}\), in terms of its diameter, \(\displaystyle{d}_{{{1}}}\)
b) Calculate the numerical value of \(\displaystyle{A}_{{{1}}},\) in square centimeters.
c) Enter an expression for the speed of the water in the hose, \(\displaystyle{v}_{{{1}}}\), in terms of the volume floe rate \(\displaystyle{Q}_{{{1}}}\) and cross-sectional area \(\displaystyle{A}_{{{1}}}\)
d) Calculate the speed of the water in the hose, \(\displaystyle{v}_{{{1}}}\) in meters per second.
e) Enter an expression for the cross-sectional area of the nozzle, \(\displaystyle{A}_{{{2}}}\), in terms of \(\displaystyle{v}_{{{1}}},{v}_{{{2}}}\) and \(\displaystyle{A}_{{{1}}}\)
f) Calculate the cross-sectional area of the nozzle, \(\displaystyle{A}_{{{2}}}\) in square centimeters.
