What would be the horse power of a steam engine with average pressure ...
Given Information
- Average pressure of steam: 9 × 10^4 N/m^2
- Area of cross-section of the piston: 0.2 m^2
- Length of stroke: 0.6 m
- Piston makes 5 revolutions per second
Calculating Force on the Piston
The force on the piston can be calculated using the formula:
Force = Pressure × Area
Given that the average pressure of steam is 9 × 10^4 N/m^2 and the area of the cross-section of the piston is 0.2 m^2, we can substitute these values into the formula:
Force = (9 × 10^4 N/m^2) × (0.2 m^2) = 1.8 × 10^4 N
Calculating Work Done per Second
The work done per second can be calculated using the formula:
Work Done per Second = Force × Distance
In this case, the distance is the length of the stroke, which is given as 0.6 m. Substituting the values into the formula, we get:
Work Done per Second = (1.8 × 10^4 N) × (0.6 m) = 1.08 × 10^4 Nm/s
Calculating Horsepower
Horsepower is a unit of power and can be calculated using the formula:
Horsepower = Work Done per Second / 746
Substituting the value of work done per second into the formula, we get:
Horsepower = (1.08 × 10^4 Nm/s) / 746 = 14.477 horsepower
Answer
Therefore, the horsepower of the steam engine is approximately 14.477 horsepower.