Belt Length Calculator (2 pulley system)
| Formula |
|---|
| Belt Length = (π/2 × (D₁ + D₂)) + (2 × L) + ((D₁ – D₂)² / (4 × L)) |
| Where: D₁ = Diameter of Larger Pulley D₂ = Diameter of Smaller Pulley L = Length Between Pulleys |
| All measurements must be in the same unit (e.g., inches, centimeters). |
| Example Input |
|---|
| Diameter of Larger Pulley (D₁): 10 in |
| Diameter of Smaller Pulley (D₂): 5 in |
| Length Between Pulleys (L): 20 in |
| Step-by-Step Calculation |
|---|
| Step 1: Identify given values: |
| D₁ = 10 in, D₂ = 5 in, L = 20 in |
| Step 2: Apply the formula: |
| Belt Length = (π/2 × (10 + 5)) + (2 × 20) + ((10 – 5)² / (4 × 20)) |
| Step 3: Simplify the equation: |
| Belt Length = (1.5708 × 15) + 40 + (25 / 80) |
| Step 4: Compute the final result: |
| Belt Length ≈ 63.58 in |
