Match the diagram conditions, then follow the example inputs and results. Change numerical values in the calculator.
1. Match the diagram to your question
モーター側と負荷側を区別します。間に減速機があると、回転数と慣性の換算が必要です。
Jload・TLは負荷側、Jm・nはモーター側です。速度比iと効率ηを別に指定します。
出力軸側の負荷慣性 Jload
0.02 kg·m²
モーター軸側の合計慣性 Jm
0.001 kg·m²
速度比 i = モーター速度 / 負荷速度
5
減速機の正駆動効率 η
90 %
出力軸側の定常抵抗トルク TL
10 N·m
到達モーター速度 n
1,500 rpm
停止からの加速時間 t
1 s
モーター軸の定常分と加速分を足します。この値だけでは、減速・発熱・保持まで確認できません。
加速中の合計トルク
2.51893 N·m
定常抵抗分のトルク
2.22222 N·m
慣性を加速するトルク
0.296706 N·m
Distinguish motor and load sides. A reducer changes the speed and inertia relationship.
Jload and TL belong to the load side; Jm and n to the motor side. Enter ratio i and efficiency η separately.
Load inertia at output shaft Jload
0.02 kg·m²
Total input-side inertia Jm
0.001 kg·m²
Speed ratio i = motor speed / load speed
5
Forward gearbox efficiency η
90 %
Steady resisting torque at output TL
10 N·m
Final motor speed n
1,500 rpm
Acceleration time from rest t
1 s
Add steady and acceleration torque at the motor shaft. This alone does not check braking, heating or holding.
Total torque during acceleration
2.51893 N·m
Steady motor torque
2.22222 N·m
Acceleration torque
0.296706 N·m
Blue marks inputs; orange marks outputs. These diagrams explain the fixed example below; dimensions and deformation are not drawn to physical scale.
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2. Example inputs
Load inertia at output shaft JloadWhat goes here?
This is the load’s rotational inertia about its output-side axis. Find it from shape, dimensions and mass using the inertia calculator.
0.02 kg·m²
Total input-side inertia JmWhat goes here?
Add rotor inertia and other parts rotating at the input. Do not count output-side load inertia here again.
0.001 kg·m²
Speed ratio i = motor speed / load speedWhat goes here?
Motor speed divided by load speed. At i=5, five motor revolutions produce one load revolution.
5
Forward gearbox efficiency ηWhat goes here?
The fraction of input delivered as useful output. η=80% means 0.8 with 20% loss. Check whether the input unit is percent or fraction.
There is no universal recommended efficiency. Use curves or measurements at the actual load, speed and temperature. For a combined train, use consistent input/output boundaries and ηtotal=η1×η2…; do not count losses twice.
Choose values for actual contact, lubrication, temperature and other conditions. These initial values are examples.
90 %
Steady resisting torque at output TLWhat goes here?
This is output-side resistance even at constant speed. Acceleration torque is computed from inertia separately.
10 N·m
Final motor speed nWhat goes here?
Rotational speed, for example revolutions per minute (rpm), rather than an angle.
1,500 rpm
Acceleration time from rest tWhat goes here?
Duration of this phase or operation. Distinguish one-way from round-trip time and running from dwell.
1 s
These are fixed teaching inputs. Coefficients, properties and comparison limits are not recommendations. Enter your conditions in the calculator.
3. Results for this example
Total torque during acceleration
2.51893 N·m
Steady motor torque
2.22222 N·m
Acceleration torque
0.296706 N·m
Acceleration torque adds to steady resistance. The total is at the motor shaft; check ratio and efficiency before comparing it with load-side torque.
Table units are not always the units required in the formula. The calculator converts selected units to its internal base units before computing.
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Assumptions and exclusions
Constant forward acceleration from rest. Include rotor and other input-side rotating inertia in Jm. Do not include acceleration torque again in TL. Deceleration, back-driving, RMS torque, thermal duty, torque-speed limits and brake holding are excluded. This is not a complete motor selection.
