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kenny6666 [7]
3 years ago
8

A jet impinges directly on to a plate that is oriented normal to the axis of the jet. The mass flow rate of the jet is 50 kg/min

and its velocity is 200 m/s. Perform a control volume analysis to calculate the force on the plate.
Engineering
1 answer:
PilotLPTM [1.2K]3 years ago
3 0

Answer:

166.67 N

Explanation:

Given:

Mass flow rate = 50 kg/min = 50 kg / 60 seconds = 0.833 kg/s

Initial velocity = 200 m/s

after striking the normal board the water will flow in the normal direction, thus the final velocity in the direction of the initial flow will be zero

therefore,

Force = (change in momentum)

or

Force = Initial momentum - final momentum

or

Force = 0.833 × 200 - 0.833 × 0

or

Force = 166.67 N

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The size of Carvins Cove water reservoir is 3.2 billion gallons. Approximately, 11 cfs of water is continuous withdrawn from thi
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471 days

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Capacity of Carvins Cove water reservoir = 3.2 billion gallons i.e. 3.2 x 10˄9 gallons

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1 gallon = 0.133 cubic feet (cf)

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                                                                         = 4.28 x 10˄8

 

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Here  

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Mass out = 11 cfs

Putting values in (Eq. 01)

Accumulation  = 0.5 - 11

                         = - 10.5 cfs

 

Negative accumulation shows that reservoir is depleting i.e. at a rate of 10.5 cubic feet per second.

Converting depletion of reservoir in cubic feet per hour = 10.5 x 3600

                                                                                       = 37,800

 

Converting depletion of reservoir in cubic feet per day = 37, 800 x 24

                                                                                         = 907,200  

 

i.e. 907,200 cubic feet volume is being depleted in days = 1 day

1 cubic feet volume is being depleted in days = 1/907,200 day

4.28 x 10˄8 cubic feet volume will deplete in days  = (4.28 x 10˄8) x                    1/907,200

                                                                                 = 471 Days.

 

Hence in case of continuous drought reservoir will last for 471 days before dry-up.

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