Earth Science & Energy
Bond Work Index ($W_i$) Ball Mill Comminution Power Sizer
Calculate bond work index ($w_i$) ball mill comminution power using the stated engineering or scientific relationship and adjustable field inputs.
Preparing your result…
What this calculator does
Calculates Bond Work Index ($W_i$) Ball Mill Comminution Power Sizer using the formula verified against the cited source.
What your result means
An estimate from the inputs you enter, within the scope stated below — not advice.
Formula
Specific energy W (kWh/t) = 10 Wi × (1/√P80 − 1/√F80), sizes in µm; mill power (kW) = throughput (t/h) × W
The step-by-step working for your own numbers appears with the result above and in the PDF report.
Frequently asked questions
Symbols and assumptions
- Inputs
- The values entered in the fields above
- • Bond specific grinding energy W=10Wi×(1/sqrt(P80)−1/sqrt(F80)), with80%-passing sizes in micrometres and Wi/W in matching energy-per-mass conventions. Power=throughput mass/time×specific energy.
Sources and review
Reviewed 2026-10-18 · Next review 2027-04-18
- • The displayed equation returns energy per tonne/ton, not mill power. Throughput is missing for kW. Match metric-tonne versus short-ton work-index basis and test/circuit correction conventions. Require0<P80<F80; the Bond relation is not universally valid for every fine/ultrafine circuit.
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
Quick reference
| Scenario | Bond work index (metric tonne basis) (kWh/t) | Feed 80% passing size F80 (µm) | Product 80% passing size P80 (µm) | Mill power at pinion (uncorrected) |
|---|---|---|---|---|
| Worked example | 14 | 2,000 | 75 | 1,303.5312 kW |
| Half the amounts | 7 | 1,000 | 38 | 457.0953 kW |
| Double the amounts | 28 | 4,000 | 150 | 3,686.9431 kW |
Need the full picture? Get the detailed PDF report with charts, tables, formulas and working steps.
Reviewed 2026-10-18 · Next review 2027-04-18
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