Direct inertia-torque screen
Torque-speed duty point
Inputs
User-entered total inertia referred to the shaft.
Declared shaft speed change from the motion segment.
Declared acceleration-segment duration.
User-entered steady load torque for the acceleration segment.
User-entered shaft speed at the evaluated duty point.
User-entered available torque at target speed; no motor curve is generated.
Results
Angular acceleration
314.16
rad/s²Inertia acceleration torque
0.62832
Direct required acceleration torque
1.8283
Duty-point shaft power
0.28719
Stated torque minus direct requirement
0.67168
α = Δn(2π/60)/ta; Tacc = Jα; Treq = Tload + Tacc; P = Treqω
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: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion
Method
Formula, when it applies, and when it does not
Calculate direct acceleration, required torque, shaft power, and torque margin at one duty point.
α = Δn(2π/60)/ta; Tacc = Jα; Treq = Tload + Tacc; P = Treqω
When
- One acceleration segment
- Reflected inertia declared
- Steady load torque declared
- Available torque stated by user
Don’t
- This one-duty-point arithmetic uses user-entered reflected inertia, load torque, and available torque. It does not generate a motor torque-speed curve, assess peak/rated/RMS capacity, efficiency, thermal behavior, gearing, safety factor, tuning, motor or drive selection, or design approval.