Simple Harmonic Cam Rise Calculator
Calculate follower displacement, velocity and acceleration through one ideal simple-harmonic cam rise.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Use a local angle beginning at the start of the rise and one constant cam speed.
y=h(1−cos(πθ/β))/2; velocity=ω dy/dθ; acceleration=ω² d²y/dθ²
Worked example
At half the rise angle the follower has completed half the lift and has its maximum rise velocity.
Assumptions and input details
Query angle must lie within the rise. This single ideal motion segment has endpoint acceleration discontinuities when joined to dwell. No complete cam contour, contact force, pressure angle or machine suitability.
Unit definitions
Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.
Choose from 23 length definitions, including explicitly labelled regional measures. Area conversions square the length factor; geometric volumes cube it.
Regional measures are not interchangeable merely because their names look similar. This is a documented selection, not a claim to include every historical unit.
One revolution is 2π radians or 360 degrees. One minute is 60 seconds, so 1 rpm = 2π/60 rad/s. Rotational frequency in hertz counts revolutions per second.
NIST measurement tables · Japanese traditional units · Mainland China and Hong Kong unit distinctions
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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