Answer:
1.08m/s
Explanation:
To develop this problem it is necessary to resort to the concept developed by Bernoulli in his equations in which
describes the behavior of a fluid along a channel.
Bernoulli's equation is given by
Where,
Pressure at determinated point
density (water in this case)
Velocity at determinated point
g = Gravity acceleration
z = Pressure heads at determinated point.
We know that the problem is given in an horizontal line, then the pressure heads is zero.
And for definition we know that,
Where h means the heights of water column measured by the pitot tube at the top and the piezometer. Then replacing both pressure with the previous values we have:
Then replacing
At the end of the pipe the speed is zero, since there is stagnation then:
Re-arrange for =
Replacing the values where and we have,
Therefore the velocity at the centerline is 1.08m/s