A rotating crankpin slides in the slot of a guided yoke, converting disk rotation into straight-line reciprocation. Explore how crank radius, angle and speed determine ideal yoke position, stroke, velocity and acceleration.
Yoke-bar Reciprocator From Disk Crank Interactive Calculator
Enter crank radius, angle and constant rotational speed. Compare ideal displacement, full stroke, velocity and acceleration for the guided yoke.
Equation Used
- Inputs are user-supplied scenario values.
- The displayed equations are evaluated directly.
- Entered efficiencies, shares, limits and factors are not predicted.
- The visual is schematic and not dimensional.
- Strength, fatigue, wear, variation, controls and safety compliance are omitted unless explicitly calculated.
How the Yoke-bar Reciprocator from Disk Crank Works
The crankpin moves around the disk centre while sliding vertically within the yoke slot. Horizontal guides keep the yoke aligned, so its position follows the horizontal coordinate of the pin.
What This Calculator Represents
The disk turns at constant speed and the yoke is rigid and constrained to translate. Clearances, friction, contact force, vibration, strength and wear are not calculated.
Calculation Method
With angle θ, radius R and angular speed ω = 2π × rpm / 60: position x = R cos θ; full stroke = 2R; velocity = −Rω sin θ; acceleration = −Rω² cos θ. Use metres for R to obtain acceleration in m/s².
How to Read the Result
Change one input at a time to compare its effect. Apply the assumptions stated beside the equations when interpreting each result.
Assumptions and Limits
The disk turns at constant speed and the yoke is rigid and constrained to translate. Clearances, friction, contact force, vibration, strength and wear are not calculated.
Frequently Asked Questions
Why is the full stroke twice the radius?
The ideal yoke moves between +R and −R as the crankpin passes opposite sides of the disk, giving a total stroke of 2R.
What does zero displacement mean?
It is the midpoint of the yoke stroke. Positive and negative positions identify opposite sides of that midpoint.
Is the drawing suitable for manufacturing?
No. It is a schematic explanation and does not specify manufacturing dimensions, tolerances or materials.
Do these results establish safe operating limits?
No. Assess the complete equipment, loads, materials, controls and applicable requirements separately.
References
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