JUJUMI工程计算器 · Engineering Calculators

Crank-Slider Mechanism

Compute slider displacement, velocity and acceleration of a crank-slider mechanism at a given crank angle θ and angular speed ω (approximate formulas).

Inputs

Formula

s = r(1−cosθ) + l−√(l²−r²sin²θ); v = ωr(sinθ + r·sin2θ/(2l)); a = ω²r(cosθ + r·cos2θ/l)
θs = r(1−cosθ) + √(l²−r²sin²θ)
Crank-Slider Mechanism schematic

How to use

  1. Fill in Crank radius r, Conrod length l, Crank angle θ, Ang. speed ω in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Displacement s, Velocity v, Acceleration a in the results area.
Formula notesSlider displacement s = r(1−cosθ) + √(l²−r²sin²θ); velocity v = rω(sinθ + r·sin2θ/2l); accel a = rω²(cosθ + r·cos2θ/l).