Index angle · move time · inertia
Rotary indexing motion
Inputs
User-entered angular displacement for one index; position accuracy and the motion profile are excluded.
User-entered time for the index motion only; dwell and process timing are excluded.
User-entered rotational inertia about the declared indexing axis; geometry, gearing, and motor inertia are not derived.
Results
Declared index angle in radians
1.0472
Ideal average angular speed
2.0944
rad/sLiteral move-only index rate
120
indexes/minRotational kinetic energy at average speed
0.10966
θ = α·π/180; ωavg = θ/tmove; rate(move-only) = 60/tmove; KE = ½Iωavg²
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Force & acceleration · Kinetic energy · Gravitational potential energy · Flywheel energy change
Method
Formula, when it applies, and when it does not
Calculate ideal average angular speed, move-only index rate, and rotational kinetic energy at that average speed from rotary-index-table motion inputs.
θ = α·π/180; ωavg = θ/tmove; rate(move-only) = 60/tmove; KE = ½Iωavg²
When
- Declared index angle and move time
- Ideal average-speed relation
- Move-only rate with no dwell
Don’t
- This applies only declared index-angle, move-time, and table-plus-load-inertia arithmetic. It excludes acceleration profile, peak/RMS torque, friction, gearing, motor/table selection, capacity, position accuracy, dwell/process timing, safety, suitability, and approval.