Match the diagram conditions, then follow the example inputs and results. Change numerical values in the calculator.
1. Match the diagram to your question
移動距離を、加速・一定速・減速に分ける計画です。時間と速度のグラフを読みます。
距離sと全移動時間、加速時間・減速時間を入れます。グラフ下の面積が距離です。
移動距離 s
500 mm
片道の移動時間 T
1 s
加速・減速それぞれの時間 ta
0.2 s
移動質量 m
10 kg
正方向への定常抵抗力
20 N
停止指令から減速開始までの時間
0.05 s
橙の高さが到達速度です。これは運動の計画で、案内の摩擦や坂の抵抗まで解いた結果ではありません。
最高速度
0.625 m/s
加速度の大きさ
3.125 m/s²
最高速からの停止距離（遅れ込み）
93.75 mm
Split the move into acceleration, running and deceleration. Read the time–speed graph.
Enter travel s, total duration and acceleration / deceleration times. Area under the speed graph is travel.
Travel s
500 mm
One-way travel duration T
1 s
Each acceleration / deceleration duration ta
0.2 s
Moving mass m
10 kg
Steady resistance opposing travel
20 N
Delay before deceleration starts
0.05 s
Orange height is peak speed. This is a motion plan, not a complete friction or grade calculation.
Peak speed
0.625 m/s
Acceleration magnitude
3.125 m/s²
Stopping distance from peak speed incl. delay
93.75 mm
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
Travel sWhat goes here?
Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.
500 mm
One-way travel duration TWhat goes here?
Duration of this phase or operation. Distinguish one-way from round-trip time and running from dwell.
1 s
Each acceleration / deceleration duration taWhat goes here?
Duration of this phase or operation. Distinguish one-way from round-trip time and running from dwell.
0.2 s
Moving mass mWhat goes here?
This is mass, including fixtures or loads that move with it where required. Kilograms describe mass; newtons describe force.
10 kg
Steady resistance opposing travelWhat goes here?
Magnitude of a push or pull, in force units such as N, rather than mass in kg.
20 N
Delay before deceleration startsWhat goes here?
Duration of this phase or operation. Distinguish one-way from round-trip time and running from dwell.
0.05 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
Peak speed
0.625 m/s
Acceleration magnitude
3.125 m/s²
Stopping distance from peak speed incl. delay
93.75 mm
This example is one rest-to-rest move with equal acceleration and deceleration times. Keep round-trip frequency and dwell separate from one-way travel time.
4. Which formula is used?
v = s/(T−ta); a = v/ta; tc = T−2ta; F = ma+R; stop = v·delay+v²/(2a)
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
Forward travel from rest to rest, with equal acceleration and deceleration durations. Require 0 < 2ta ≤ T. Ideal rigid-body motion does not certify machine stopping performance.
