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In: Mechanical Engineering

1.Write the Bernoulli equation and state all the assumptions used in its derivation. 2.Write the vector...

1.Write the Bernoulli equation and state all the assumptions used in its derivation.

2.Write the vector form of the conservation of momentum equation for a control volume that is moving with a constant velocity.

3.) Water is flowing in a fire hose with a velocity of 1.0 m/s and a pressure of 200000 Pa. Use the Bernoulli equation to calculate the velocity of the water exiting the nozzle. Note: Derive the expression before plugging in numbers and clearly state all your assumptions.

4.Through a refinery, fuel ethanol is flowing in a pipe at a velocity of 1 m/s and a pressure of 101300 Pa. The refinery needs the ethanol to be at a pressure of 2 atm (202600 Pa) on a lower level. How far must the pipe drop in height in order to achieve this pressure? Assume the velocity does not change. (Hint: Use the Bernoulli equation. The density of ethanol is 789 kg/m3 ). Derive the expression before plugging in numbers.

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