This calculator converts an entered acceleration magnitude in g to SI units, multiplies it by entered mass, and converts an entered event rate to period. It does not derive irregular reciprocating motion or machine loads from a linkage, cam or stroke.
Irregular Reciprocating Motion Interactive Calculator
Explore inertial-force magnitude F=ma, force-unit conversion and period from an entered event rate.
Equation Used
- Entered acceleration is a peak translational acceleration magnitude of the entered lumped mass.
- Mass moves as one rigid lump; only F=ma magnitude is reported.
- Entered strokes/min is interpreted as complete cycles per minute solely for 60/SPM.
- No stroke, displacement/velocity law, forward/return asymmetry, linkage/cam geometry, gravity direction, process force, friction, counterbalance, motor torque, vibration, structure, fatigue, guides, stops or safety model.
Peak acceleration is an input assumption, not calculated from stroke, speed or motion law. The kgf result is only a force-unit equivalent, not allowable payload. ‘Stroke rate’ is interpreted as complete cycles per minute for the period tile.
Scalar inertia and period conversion
The entered g-level is multiplied by standard gravity, then by entered mass to obtain an inertial-force magnitude. Separately, 60 divided by entered cycles per minute gives period.
The block moves through an illustrative repeated path. It does not represent an irregular reciprocating mechanism or derive the entered acceleration.
Use as a unit check
The result can translate a known acceleration measurement or specification into ideal lumped inertial force. It cannot calculate that acceleration, size a drive or predict vibration and structural loads.
Force magnitude, not allowable load
F=ma excludes gravity, process cutting/pumping force, friction and impacts unless separately included. Dividing newtons by standard gravity expresses the same force in kilogram-force; it is not a mass or capacity rating.
Worked example
For 40 kg and entered peak acceleration 5g, a=49.033 m/s² and inertial-force magnitude is 1,961 N, equivalent to 200 kgf as a force unit. At 60 entered cycles/min, period is 1.000 s.
Limits of the force calculation
To derive acceleration, a reciprocator model needs its stroke and position over time. Drive and structural loads also depend on the linkage and all applied forces. This calculator instead accepts acceleration as an input and reports only the corresponding translational inertia term.
Questions
Does stroke rate determine acceleration?
No. Stroke length and motion law are also required.
Is kgf an allowable payload?
No. It is only a force-unit conversion.
Does this model irregular forward and return strokes?
No. No displacement profile or time ratio is entered.
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