1) Water enters a pipe through a pipe in the basement with an inside diameter of
ID: 1619172 • Letter: 1
Question
1) Water enters a pipe through a pipe in the basement with an inside diameter of 2cm and a gauge of pressure 2.98x 10^5 Pa. The Pipe on the second floor of the house 6.0m above and the entrance is 1.00 cm in diameter. The flow of the velocity of the pipe at the entrace of the pipe is 4.00 m/s. (a) Find the velocity along the pipe on the second floor (b) Find the pressure on the second floor. Help please, I know this is the type of question that will be asked on the exam!
Formula + explaintions please, I need to understand the concept.
Explanation / Answer
Since flow rate remains the same
So
A1v1 = A2v2
pi*(1/2)^2*4 = pi*(2/2)^2*v1
v1 = 1m/s
Using bernoulli's equation
P + 0.5*density*v1^2 + density*g*h = constant
2.98*10^5 + 0.5*1000*1^2 + 1000*9.8*0 = P2 + 0.5*1000*4^2 + 1000*9.8*6
P2 = 231700 Pa
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