← Back to your motion guide Try these example inputs → Separate peak and RMS torque in repeated motion Engineering calculators (Beta)
Match the diagram conditions, then follow the example inputs and results. Change numerical values in the calculator.
1. Match the diagram to your question 1. Model & supports 2. Where inputs go 3. Read the answer
繰り返す動きでは、最大と実効を分ける t n 区間ごとの時間をそろえる 加速・一定速・減速・休止を1サイクルとして見ます。図の横軸は時間です。
繰り返す動きでは、最大と実効を分ける t n ta tc td tw 区間ごとの時間をそろえる 各区間の時間と到達速度を入れます。JとTLは同じモーター軸を基準にします。
モーター軸換算の合計慣性 J 0.02 kg·m²
正方向運動に逆らう抵抗トルク 1 N·m
最高モーター速度 1,500 rpm
加速時間 0.5 s
定速時間 1 s
減速時間 0.5 s
停止時間 1 s
停止中の保持トルク 0 N·m 繰り返す動きでは、最大と実効を分ける t T + − ta tc td tw 区間ごとの時間をそろえる 橙の線は区間ごとの符号付きトルクです。負は制動方向。RMSは全区間から計算する比較値です。
最大絶対トルク 7.28319 N·m
サイクル全体の実効トルク 3.71835 N·m
減速トルク（負は回生方向） -5.28319 N·m Separate peak and RMS torque in repeated motion t n Use the time of each interval One cycle contains acceleration, running, deceleration and dwell. The horizontal axis is time.
Separate peak and RMS torque in repeated motion t n ta tc td tw Use the time of each interval Enter interval times and final speed. J and TL refer to the same motor shaft.
Total motor-shaft-equivalent inertia J 0.02 kg·m²
Resistance opposing positive rotation 1 N·m
Peak motor speed 1,500 rpm
Acceleration duration 0.5 s
Cruise duration 1 s
Deceleration duration 0.5 s
Dwell duration 1 s
Holding torque during dwell 0 N·m Separate peak and RMS torque in repeated motion t T + − ta tc td tw Use the time of each interval Orange steps show signed interval torque. Negative means braking. RMS is calculated over the entire cycle.
Peak absolute torque 7.28319 N·m
Whole-cycle RMS torque 3.71835 N·m
Deceleration torque (negative = regenerative) -5.28319 N·m Blue marks inputs; orange marks outputs. These diagrams explain the fixed example below; dimensions and deformation are not drawn to physical scale. 2. Example inputs Total motor-shaft-equivalent inertia J What goes here? Rotational inertia about the stated axis, depending on shape and distance from the axis as well as mass. kg·m² differs from mm⁴.
0.02 kg·m² Resistance opposing positive rotation What goes here? Turning effect about an axis: force multiplied by its perpendicular moment arm.
1 N·m Peak motor speed What goes here? Rotational speed, for example revolutions per minute (rpm), rather than an angle.
1,500 rpm Acceleration duration What goes here? Duration of this phase or operation. Distinguish one-way from round-trip time and running from dwell.
0.5 s Cruise duration What goes here? Duration of this phase or operation. Distinguish one-way from round-trip time and running from dwell.
1 s Deceleration duration What goes here? Duration of this phase or operation. Distinguish one-way from round-trip time and running from dwell.
0.5 s Dwell duration What goes here? Duration of this phase or operation. Distinguish one-way from round-trip time and running from dwell.
1 s Holding torque during dwell What goes here? Turning effect about an axis: force multiplied by its perpendicular moment arm.
0 N·m
These are fixed teaching inputs. Coefficients, properties and comparison limits are not recommendations. Enter your conditions in the calculator.
3. Results for this example Peak absolute torque 7.28319 N·m Whole-cycle RMS torque 3.71835 N·m Deceleration torque (negative = regenerative) -5.28319 N·m Peak torque is the greatest magnitude; RMS describes the complete cycle. Negative deceleration torque acts against positive rotation.
4. Which formula is used? Ta=TL+Jω/ta; Td=TL−Jω/td; Trms=√[Σ(Ti²ti)/Σti]; Eregen=max(0,−Td)ωtd/2
Table units are not always the units required in the formula. The calculator converts selected units to its internal base units before computing.
Assumptions and exclusions All inputs refer to the same motor shaft; gearbox efficiency is not reapplied. Constant resistance opposes positive motion. Reversing gravity loads, electrical regenerative capacity and motor thermal ratings require separate evaluation.
“Try these example inputs” loads the fixed example. “Enter your own conditions” opens the calculator normally.
