Belt Power from Tension and Speed
The power a belt actually transmits, from the two tensions and the belt speed.
Example
You enter
- Tight-side tension T1 (lb) 250
- Slack-side tension T2 (lb) 100
- Sheave pitch diameter D (in) 6
- Sheave speed N (rpm) 1750
You get
- Power transmitted 12.5 HP
- Belt speed 2749 ft/min
- Effective (net) tension 150 lb
Details, formula, and sources
P = (T1 - T2) V / 33000 hp, with V = pi D N / 12 ft/min. The point people miss: only the DIFFERENCE of the tight- and slack-side tensions (the effective tension Te = T1 - T2) does work -- the average tension just clamps the belt for grip and transmits nothing. A 250-to-100 lb drive on a 6 in sheave at 1,750 rpm runs 2,749 ft/min and passes 12.5 HP; a tighter 400-to-250 lb drive keeps the same Te of 150 and the same 12.5 HP while carrying far more total tension into the bearings. Over-tensioning buys wear, not capacity. A design aid; the belt/sheave ratings and wrap angle govern.
V = pi D N / 12 (ft/min); Te = T1 - T2; P = Te V / 33000 (hp).
The belt power relation P = (T1 - T2) V / 33000, first-principles as in Machinery's Handbook / the Gates Industrial Drive Design Manual, by name.
The power-from-effective-tension relation is a standard first-principles result; the tensions and speed come from the drive. Free at gates.com/literature.
Estimate. AHJ and licensed mechanical contractor govern. ACCA Manual J / D / S supersede rules of thumb.
Field names used by the API: tight_side_tension_lb, slack_side_tension_lb, sheave_diameter_in, sheave_rpm, power_hp, belt_speed_fpm, effective_tension_lb
- Effective tension only Te = T1 - T2 does work; the average tension is grip, not powerbelt-drive mechanics
- Belt speed V = pi D N / 12 ft/min from the sheave pitch diameter and rpmfirst-principles geometry
- Design aid the belt/sheave ratings, wrap angle, and manufacturer power tables govern the selectionscope of this tile