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`x = r*cos( "A" )+sqrt( "l" ^2- "r" ^2*sin( "A" )^2)`

Enter a value for all fields

The **Piston Position** calculator computes the position of a piston pin from the crank center based on the rod length, the crank angle and the crank radius.

**INSTRUCTIONS**: Choose units and enter the following:

- (
**r**) Crank radius - (
**A**) Crank angle - (
**l**) Rod length.

**Piston Position (x): **The position is returned in inches. However, this can be automatically converted to compatible units via the pull-down menu.

The **Position of the piston of engine with respect to crank angle** expresses the motion of a non-offset piston connected to a crank through a connecting rod (as would be found in internal combustion engines). The formula for the piston position is:

`x=rcosA +sqrt(l^2-r^2sin^2A)`

where:

- x = piston position
- r = crank radius (distance between crank pin and crank center)
- A = crank angle (from cylinder bore centerline at TDC)
- l = rod length (distance between piston pin and crank pin)

**Cylinder Bore Diameter**based on the engine displacement, number of cylinders and the stroke length.**Bore Stroke Ratio**based on the diameter of the bore and the length of the stroke.**Combustion Ratio**base on the minimum and maximum displacements of the cylinder at the beginning (1-Induction) and compressed (3-Power) portions of the combustion cycle**Displacement Ratio**based on the volumes at the beginning and end of the stroke.**Rod and Stroke Length Ratio**base on the two lengths.**Stroke Length**based on the total engine displacement, number of cylinders and the bore.**Piston Position**based on the crank angle, crank radius, and rod length.**Total Volume (displacement) of a Combustion Engine**based on the bore, stroke and number of cylinders.**Volume (displacement) of a Engine Cylinder**based on the bore and stroke.**Volume (displacement) of an Engine with an Overbore**based on the stroke, bore, overbore and number of cylinders.**Equivalent Volume of a Rotary Engine**based on the swept volume and number of pistons.**Compressed Volume of a Cylinder**when the piston is at the end of the stroke and the chamber is at its smallest (and most compressed) volume, based on the chamber, deck, crevice, chamfer, gasket, valve relief and dome/dish volumes. This is the second volume (V2) in the Compression Ratio**calculation.****Volume of a Gasket**based on the inner and outer diameters and the gasket's thickness.**Volume of a Cylinder Deck**based on the deck height and the bore.**Volume of a Cylinder Crevice**based on the piston diameter, cylinder bore and the crevice height.**Volume of a Cylinder Chamfer**based on the cylinder diameter and the chamfer height and width.**Piston Speed (mean) based on stroke length and RPMs.****Max Piston Speed based on stroke length and RPMs****RPMs based on desired piston speed and stroke length**.

* Tire Camber *

**Carburetor Air Flow**- Cubic feet per minute based on engine size, rpms and efficiency.- Camber Angle
- Camber Offset
- Breakover angle - Ground clearance between axles
- Approach angle - Ground clearance in front of or behind vehicle.
**Belt Length****Belt Speed**.**Pulley RPMs****2nd Pulley RPMs****2nd Pulley Diameter****RPM of 4th pulley on three shafts****2nd Gear RPM**

Wikipedia (https://en.wikipedia.org/wiki/Piston_motion_equations)