00:01
In this question, the motive is to calculate the hydraulic power input such that we are given the value of turbine diameter that is d to be here equals to 60 inches.
00:13
So it can be here written as 60 divided by 12 and it will be here 5 feet.
00:20
So we have written this value because 1 feet is equal to 12 inches.
00:26
So using this relation we have written the value of diameter as 5 feet.
00:32
Now the value of turbine speed will be equal to 350 and then it will be revolutions per minute.
00:40
Now the value of coefficient of velocity is going to be 0 .98 and the value of peripheral speed factor denoted as ka so it will be 0 .45 and then the value of generator efficiency is equal to 90 percentage or it can be here written as 0 .90.
01:06
So now we can write that the value of speed of the turbine denoted as u will be here pi multiplied with d multiplied with n and in the denominator it will be 60.
01:20
So this value will be here pi multiplied with 5 multiplied with 350 and in the denominator, it will be 60.
01:30
So, speed of the turbine will be equals to, it is 91 .63 and then it is here feet per second.
01:40
So it's time to write the another formula for speed of the turbine, and the another formula is here, let us write.
01:49
So it will be u and u is equal to ka and ka is the peripheral speed factor multiplied with square root of, it will be 2 times g multiplied with h.
02:02
Now, if we rearrange this very expression, then the value of h will be equal to, it is u raised to the power 2, and in the denominator it will be ka raised to the power 2, and it is multiplied with 2 times g.
02:19
So the value of g will be equal to, it is acceleration due to gravity, and a number to, and it will be 32 .174 and here it will be feet.
02:30
Now it is pounds per second square.
02:34
So the value of g can be here put and then it is equal to let us write it will be 91 .63 raised to the power 2 and in the denominator it will be 0 .45 raised to the power 2 and now it is multiplied with 2 and then it will be 32 .174.
02:57
So the value of height will be equal to it is 64.
03:03
So let's write over here 64 .44 .34 and then it will be feet.
03:10
So let us calculate the value of velocity of the jet.
03:14
So the value of velocity of the jet will be cv that is coefficient of velocity multiplied with square root of 2 times g and then it will be multiplied with h, that is height.
03:29
So, the value of velocity will be equals to it is 0 .98 and then it is multiplied with square root of 2 times 32 .174 and then it will be here multiplied with 64 .34 .34.
03:48
And now if we simplify this very expression, then the value of v will be equals to it is 199 point, it will be 5 .5 and here it is feet per second.
04:03
So let us calculate the value of volumetric flow rate of water...