How to apply bernoullie's equation

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SUMMARY

The discussion centers on applying Bernoulli's equation to calculate the force experienced by a flat plate when a jet of water strikes it. The water has a velocity of 10 m/s and a cross-sectional area of 2 cm², with a density of 1000 kg/m³. The initial calculations yielded a force of 10 N, but the correct answer is 20 N due to the need to consider the impulse concept related to the water splashing out parallel to the plate. The discrepancy arises from a misunderstanding of the area involved in the calculations.

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Homework Statement


A jet of water having velocity v = 10m/s and stream cross section = 2cm^2 hits a flat plate perpendicularly, with water splashing out parallel to plate. Find the force that plate experiences.
density of water d=1000kg/m^3

Homework Equations


0.5dv^2 = p


The Attempt at a Solution


on applying berno.. i calculated pressure and then used force = pressure*area
but answer is wrong why?
 
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You say "the answer is wrong"; we need a bit more information. What calculations have you carried out and what answers have you obtained?
 
i calculated pressure = 50000 Area = 2cm^2
force = 50000*(2/10000)=10N
but the answer is 20N
 
Well your equation seems correct and with the values as given so does your answer... My concern is with the description of the area in the question as stated. Is it possible that the questioner intended to write that as an area of 2^2 cm^2 = 4 cm^2? That would account for the factor of two.
 
no the data is correct i think "with water splashing out parallel to plate" is the key point to he problem and this is where i make a mistake while applying Bernoulli
any clue
 
it is 2 sq-cm
 
concept of impulse is involved
 

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