Rotor Unbalance Force Calculator
Centrifugal force from residual unbalance: F = m·e·ω² — why grams at high RPM become kilonewtons.
Five grams at 100 mm on a 12,000 rpm spindle pulls ~790 N — the weight of an adult — rotating once per rev. Because force grows with speed squared, a balance job that was fine at 6,000 rpm is four times worse at 12,000.
Formula
Note: Condition-monitoring guidance, not a substitute for the machine maker's limits or a qualified vibration analyst on safety-critical equipment.
Centrifugal force from residual unbalance: F = m·e·ω² — why grams at high RPM become kilonewtons. A free cnc machining: speeds, feeds & tool wear tool — no sign-up, no upload, instant results in your browser.
About Rotor Unbalance Force Calculator
Rotor Unbalance Force Calculator computes the governing relationship F = m·e·ω², ω = 2πn/60 live as you type. Five grams at 100 mm on a 12,000 rpm spindle pulls ~790 N — the weight of an adult — rotating once per rev. Because force grows with speed squared, a balance job that was fine at 6,000 rpm is four times worse at 12,000. Defaults are pre-filled with realistic values for this exact scenario, and the worked example substitutes your numbers step by step so the math is never a black box.
How to use Rotor Unbalance Force Calculator
- 1Enter your values — Unbalance mass, Unbalance radius, Speed (sensible defaults are pre-filled).
- 2Read the live results: Centrifugal force, Unbalance.
- 3Check the "with your numbers" line to see F = m·e·ω², ω = 2πn/60 substituted step by step.
- 4Adjust inputs until the scenario matches yours, then copy or share the result.
Why use Rotor Unbalance Force Calculator?
- ✓Instant, free and private — every calculation runs client-side in your browser; nothing is uploaded
- ✓Built on the stated formula F = m·e·ω², ω = 2πn/60 with authoritative sources cited on the page (ISO 20816-1 (ex 10816) — Mechanical vibration evaluation; ISO 21940-11 — Rotor balancing; ISO 3685 — Tool-life testing with single-point turning tools)
- ✓Five grams at 100 mm on a 12,000 rpm spindle pulls ~790 N — the weight of an adult — rotating once per rev.
- ✓SI ⇄ Imperial toggle converts your inputs in place, so you can work in the units your drawings use
Frequently asked questions
What formula does the rotor unbalance force calculator use?+
It evaluates F = m·e·ω², ω = 2πn/60, exactly as published. Sources: ISO 20816-1 (ex 10816) — Mechanical vibration evaluation; ISO 21940-11 — Rotor balancing; ISO 3685 — Tool-life testing with single-point turning tools. The substituted worked example on the page lets you verify every step against the textbook.
How should I read the result — and how far can I trust it?+
Five grams at 100 mm on a 12,000 rpm spindle pulls ~790 N — the weight of an adult — rotating once per rev. Condition-monitoring guidance, not a substitute for the machine maker's limits or a qualified vibration analyst on safety-critical equipment.
When is this calculator the right tool for the job?+
Centrifugal force from residual unbalance: F = m·e·ω². Because force grows with speed squared, a balance job that was fine at 6,000 rpm is four times worse at 12,000. For neighbouring scenarios, the related tools below cover the same engine with different presets.
Does it support both metric and imperial units?+
Yes — the SI ⇄ Imperial toggle converts the values already in the fields, preserving the physical quantity, so you can flip mid-calculation without re-entering anything.
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