Question

fluid flow: a pump uses a piston of 15 cm diameter that moves at 2.0 cm/s as it pushes a fluid through a pipe. what is the speed of the fluid when it enters a portion of the pipe that is 3.0 mm in diameter? treat the fluid as ideal and incompressible.

Answer 1

As per the question, a pump uses a piston of 15 cm diameter that moves at 2.0 cm/s as it pushes fluid through a pipe. The speed of the fluid when it enters a portion of the pipe that is 3.0 mm in diameter is 5000cm/sec.

The volumetric flow rate refers back to the three-dimensional area occupied by using fluid flowing thru a move section according to time. it's far the ratio of the change within the volume of a flowing fluid to the alternate in time.

According to the question, the volumetric flow rate in the pump and the pipe is the same.

Q = AV

Q = Volumetric flow rate

A = Cross-sectional area

V = Velocity

Q ( pump ) = ( π * 15^2 ) / 4 * 2 = 353.43 cm^3/sec

Q ( pipe ) =  ( π * ( 3/10 )^2 ) / 4 * V = 0.071V

Q ( pump ) = Q ( pipe )

Therefore  0.071V = 353.43

Velocity (V) = 5000 cm/sec

Therefore the speed of the fluid when it enters the pipe is 5000 cm/sec.

Velocity is the directional pace of an object in movement as a demonstration of its rate of change in function as determined from a specific body of reference and as measured by way of a selected standard of time.

Learn more about Velocity here brainly.com/question/500702  

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