In a gear train, 4% of the power is lost in friction. If the power left after the loss of friction is 60 hp, how much power is lost?
.96 Vi = 60
Vi = 62.5
so, the loss was 2.5 hp
%C = (Vf - Vi)/(Vi)
(4%)(Vi) = 60 - Vi
.04Vi + Vi = 60
1.04Vi = 60
Vi = 60/1.04
Vi = 57.69
Not sure if this is right...
To find out how much power is lost in the gear train, we can set up a simple calculation. Let's denote the total power before the loss of friction as P.
We are given that 4% of the power is lost, which means 96% of the power remains after the loss. Therefore, we can express the power left after the loss as 96% of the total power:
P_left = P * (96/100)
We are also given that the power left after the loss is 60 hp, so we can set up the following equation:
60 = P * (96/100)
To find P, we can rearrange the equation by dividing both sides by (96/100):
P = 60 / (96/100)
Simplifying this expression gives:
P = 60 * (100/96) = 62.5 hp
Now we can calculate the power lost by subtracting the power left after the loss from the initial power:
Power lost = P - P_left = 62.5 - 60 = 2.5 hp
Therefore, the power lost in the gear train is 2.5 horsepower.