Complete Question
The complete question is shown on the first uploaded image
Answer:
The power loss between section (1) and section (2) is
Explanation:
The velocity at the first section is mathematically represented as
Where Q is the flow rate given as and is the area at first section which is evaluated as
The value of diameter is = 3 ft
So
Now
The continuity equation for first and second section is mathematically represented as
From the question
Therefore
Generally balanced energy equation between first and second section is mathematically represented as
Now this to obtain the energy equation for the between the start (point 1)and end(point 2) points
The negative sign is to show that energy is transferred from the turbine
Where
are the velocity , height , pressure of the datum at first section
are the velocity , height , pressure of the datum at second section
is the density of water with value of
is the loss of workdone
g is the acceleration due to gravity with a value of 32.3 ft/
Given that
The negative sign is to show that the pressure is acting against the pressure of the system
We are also told that the power developed by the turbine is
The negative sign show that power is transferred from the turbine
When we multiply the equation 1 above by the mass flow rate we get
The mass flow rate is mathematically represented as
The height
Substituting values into equation 2