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Belt & Pulley Speed Calculator

Driven RPM, ratio, belt speed and belt length from pulley diameters and centre distance — V-belt and timing-belt notes included.

Driven speed
Ratio
Belt speed
Belt length
n1·d1 = n2·d2 ; v = π·d1·n1/60000 ; L ≈ 2C + π(d1+d2)/2 + (d2−d1)²/4C
References: Shigley's Mechanical Engineering Design (flexible elements, ch. 17) · Gates / Optibelt design manuals

V-belts slip 1–3 % (use the smaller effective diameter under load); timing belts don't slip — use tooth counts for the exact ratio (i = z2/z1). Keep V-belt speed under ~30 m/s and the small pulley above the belt's minimum diameter. Round the computed length to the nearest stock belt and adjust C with the tensioner.

Belt & Pulley Calculator computes driven speed, ratio, belt velocity and belt length for a two-pulley drive — free, instant and private in your browser. Workshop machine builders, HVAC techs and anyone replacing or re-speeding a belt drive use it to skip the datasheet algebra: type your numbers, read the answer with the substituted formula shown step by step, and share an exact permalink of the calculation.

About Belt & Pulley Speed Calculator

Belt & Pulley Calculator computes driven speed, ratio, belt velocity and belt length for a two-pulley drive using the standard engineering relation: n1·d1 = n2·d2; v = π·d1·n1/60000; L ≈ 2C + π(d1+d2)/2 + (d2−d1)²/4C. Worked live: 60→180 mm pulleys at 1440 RPM give 480 RPM out, an 11.3 m/s belt and ~1180 mm length at 400 mm centres. The result recalculates on every keystroke, the worked-example panel shows your numbers substituted into the formula, and the Copy permalink button encodes the inputs in the URL so a colleague opens exactly your calculation. Everything runs client-side — nothing you type leaves your device.

How to use Belt & Pulley Speed Calculator

  1. 1Enter your values — the tool starts with realistic defaults for this exact use case, so the worked example is meaningful immediately.
  2. 2Read the live result and the worked-example panel, which substitutes your numbers into the formula step by step.
  3. 3Adjust any input to compare scenarios, then use Copy result or Copy permalink to share the calculation.

Why use Belt & Pulley Speed Calculator?

  • Implements the real formula — n1·d1 = n2·d2 — with the substitution shown, not a black box
  • Built for workshop machine builders, HVAC techs and anyone replacing or re-speeding a belt drive
  • Copy result and permalink buttons — share the exact calculation in a README, forum answer or design review
  • 100% free, no sign-up, runs entirely in your browser (works offline once loaded)

Frequently asked questions

How do you calculate belt & pulley?+

Driven speed, ratio, belt velocity and belt length for a two-pulley drive follows n1·d1 = n2·d2; v = π·d1·n1/60000; L ≈ 2C + π(d1+d2)/2 + (d2−d1)²/4C. For example, 60→180 mm pulleys at 1440 RPM give 480 RPM out, an 11.3 m/s belt and ~1180 mm length at 400 mm centres. The calculator applies the same relation and shows the substituted arithmetic so you can verify every step.

Do V-belts and timing belts use the same math?+

Kinematics yes, but V-belts slip 1–3 % and use effective (pitch) diameters that shrink under load, so real driven speed runs slightly slow. Timing belts are exact — use tooth counts (i = z2/z1) and you get a zero-slip ratio like gears.

How tight should the belt be?+

V-belts: roughly 10–15 mm of deflection per metre of span under firm thumb pressure; too tight kills bearings, too loose slips and glazes. Timing belts want enough tension that the unloaded side doesn't ratchet — follow the manufacturer's frequency or force spec when available.

Is the Belt & Pulley Calculator free and private?+

Yes — completely free with no sign-up or usage limits, and it runs entirely in your browser: the values you enter are never uploaded or stored on a server.

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