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Below is an animation of the piston motion equations with the same values of rod length and crank radius as in the graphs above. Piston motion animation with the various half strokes from the graph above (using the same color code)
The mean piston speed is the average speed of the piston in a reciprocating engine. It is a function of stroke and RPM. There is a factor of 2 in the equation to account for one stroke to occur in 1/2 of a crank revolution (or alternatively: two strokes per one crank revolution) and a '60' to convert seconds from minutes in the RPM term.
But in reality, the torque is maximum at crank angle of less than α = 90° from TDC for a given force on the piston. One way to calculate this angle is to find out when the Connecting rod smallend (piston) speed becomes the fastest in downward direction given a steady crank rotational velocity. Piston speed x' is expressed as:
Nominal horsepower = 7 × area of piston in square inches × equivalent piston speed in feet per minute/33,000. For paddle ships, the Admiralty rule was that the piston speed in feet per minute was taken as 129.7 × (stroke) 1/3.38. [28] [29] For screw steamers, the intended piston speed was used. [29]
For example, Concorde cruised at 1354 mph, or 7.15 million feet per hour, with its engines giving an SFC of 1.195 lb/(lbf·h) (see below); this means the engines transferred 5.98 million foot pounds per pound of fuel (17.9 MJ/kg), equivalent to an SFC of 0.50 lb/(lbf·h) for a subsonic aircraft flying at 570 mph, which would be better than even ...
Speed has dropped out of the equation, and the only variables are the torque and displacement volume. Since the range of maximum brake mean effective pressures for good engine designs is well established, we now have a displacement-independent measure of the torque-producing capacity of an engine design – a specific torque of sorts.
An early example is the 3.3 L (200 cu in) and 3.8 L (229 cu in) Chevrolet 90° V6 engines, which have an 18° offset crankshaft resulting in an uneven firing interval. Newer examples, such as the Honda C engine , use 30° offset crank pins, resulting in an even firing interval.
An estimate for the tractive effort of a single cylinder steam locomotive can be obtained from the cylinder pressure, cylinder bore, stroke of the piston [note 2] and the diameter of the wheel. The torque developed by the linear motion of the piston depends on the angle that the driving rod makes with the tangent of the radius on the driving wheel.