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Soaring Crane

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A pressurized cylindrical tank, 5.0 m in diameter, contains water which emerges from the pipe at point C, with velocity 29 m/s. Point A is 10 m above point B and point C is 3 m above point B. The area of the pipe at point B is 0.08 m^2 and the pipe narrows to an area of 0.04 m^2 at point C. Assume water is an ideal fluid in laminar fluid. The density of water is 1000 kg/m^3. The mass flow rate in the pipe is closest to:

a. 1000 kg/s

b. 810 kg/s

c. 1200 kg/s

d. 700 kg/s

e. 930 kg/s

I know that the mass flow rate = p*A*v, p = density and v = velocity.

p*A*v = constant

However, the density would be the same since the fluid is water, so wouldn't it be the flow rate that is constant?

A*v = constant

Exactly how do I apply the flow rate equation to this problem?

Thanks.

a. 1000 kg/s

b. 810 kg/s

c. 1200 kg/s

d. 700 kg/s

e. 930 kg/s

I know that the mass flow rate = p*A*v, p = density and v = velocity.

p*A*v = constant

However, the density would be the same since the fluid is water, so wouldn't it be the flow rate that is constant?

A*v = constant

Exactly how do I apply the flow rate equation to this problem?

Thanks.

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