Final answer:
The torque exerted on the crankshaft, the thrust on the crankshaft bearing, and the acceleration of the flywheel can be determined using various formulas and calculations. These calculations involve finding the difference in pressure, calculating the force, and using the dimensions and ratios of the engine components. The final values can be obtained by substituting the known values into the relevant equations.
Step-by-step explanation:
The torque exerted on the crankshaft can be calculated using the formula:
Torque = Force x Distance
In this case, we can determine the force by finding the difference in pressure on the cover end side and the crank end side of the steam engine. The force can then be multiplied by the stroke length to obtain the torque.
Determine the difference in pressure:
Pressure difference = Pressure on cover end side - Pressure on crank end side
= 5.8 bar - 0.5 bar
= 5.3 bar (converted to N/m²)
Calculate the force:
Force = Pressure difference x Area
= 5.3 bar x π x (0.25 m)²
Calculate the torque:
Torque = Force x Stroke length
= Force x 2 x radius
where radius = (Stroke length / Stroke bore ratio) / 2
= (Force x 2 x ((Stroke length / Stroke bore ratio) / 2))
Substitute the values into the equation to get the torque.
The thrust on the crankshaft bearing can be determined by multiplying the force exerted on the piston by the connecting rod length divided by the crank radius.
The acceleration of the flywheel can be determined using the equation:
Acceleration = Torque / (Mass * Radius of gyration)
Substitute the values into the equation to calculate the acceleration.