The the diameter of the shaft is to be in order to transmit 60 hp at 150 rpm 1.88 inch.
We must first obtain the formula for calculating horsepower.
The phrase to use is as follows:
hp = k × v × d³ ......eq(1)
Where:
Since k is a constant, it will always have the same value when the shaft is transferring 60 horsepower at 150 rpm.
Therefore, using the first set of information, we can determine the value of k and subsequently the diameter.
When we solve for k in (1), we get:
k = hp / (v × d³)
Put the values;
k = 45 / (100 × 3³)
k = 0.02
Put the value of k and solve for diameter.
d = ∛hp / (k × v)
d = ∛60 / (150 × 0.06)
d = 1.88 inch
Thus, the the diameter of the shaft is to be in order to transmit 60 hp at 150 rpm 1.88 inch.
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