Match the diagram conditions, then follow the example inputs and results. Change numerical values in the calculator.
1. Match the diagram to your question
伸びる行程と戻る行程を合わせて1往復です。ロッド側と反対側で体積が異なります。
内径D・ロッド径d・ストロークL・往復回数を確認します。基準温度と基準圧力も必要です。
シリンダー内径 D
40 mm
ロッド径 d
16 mm
ストローク L
100 mm
給気ゲージ圧 pg
0.5 MPa
周囲の絶対圧 pamb
0.101325 MPa
往復回数 c（1往復=1cycle）
10 cycles/min
シリンダー内の空気温度 T
20 °C
換算先の絶対圧 pref
0.101325 MPa
換算先の温度 Tref
20 °C
1往復の量と、単位時間あたりの量を分けて読みます。表示は基準状態へ換算した空気量です。
基準状態での空気量 / 往復
1.37221 L/cycle
基準状態での空気消費流量
13.7221 L/min
Extension and return together make one cycle. The two chambers have different swept volumes.
Check bore D, rod diameter d, stroke L and cycle rate, plus reference temperature and pressure.
Cylinder bore D
40 mm
Rod diameter d
16 mm
Stroke L
100 mm
Supply gauge pressure pg
0.5 MPa
Ambient absolute pressure
0.101325 MPa
Cycle rate c (one extension + return)
10 cycles/min
Cylinder air temperature T
20 °C
Reference absolute pressure pref
0.101325 MPa
Reference temperature Tref
20 °C
Separate air per cycle from air per time. Displayed volume is converted to the reference conditions.
Reference volume per cycle
1.37221 L/cycle
Reference consumption rate
13.7221 L/min
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
Cylinder bore DWhat goes here?
Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.
40 mm
Rod diameter dWhat goes here?
Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.
16 mm
Stroke LWhat goes here?
Use the dimension marked in the diagram. Distinguish radius from diameter, bore from outside diameter, and overall length from support span.
100 mm
Supply gauge pressure pgWhat goes here?
Force per area. Gauge pressure is relative to ambient; absolute pressure is relative to vacuum.
0.5 MPa
Ambient absolute pressureWhat goes here?
Force per area. Gauge pressure is relative to ambient; absolute pressure is relative to vacuum.
0.101325 MPa
Cycle rate c (one extension + return)What goes here?
Match the field symbol to the diagram and check dimensions, specifications or operating conditions. Replace example numbers with your actual conditions.
10 cycles/min
Cylinder air temperature TWhat goes here?
Match the field symbol to the diagram and check dimensions, specifications or operating conditions. Replace example numbers with your actual conditions.
20 °C
Reference absolute pressure prefWhat goes here?
Force per area. Gauge pressure is relative to ambient; absolute pressure is relative to vacuum.
0.101325 MPa
Reference temperature TrefWhat goes here?
Match the field symbol to the diagram and check dimensions, specifications or operating conditions. Replace example numbers with your actual conditions.
20 °C
These are fixed teaching inputs. Coefficients, properties and comparison limits are not recommendations. Enter your conditions in the calculator.
3. Results for this example
Reference volume per cycle
1.37221 L/cycle
Reference consumption rate
13.7221 L/min
One cycle includes extension and return. Volume is at the stated reference pressure and temperature and excludes piping volume and leakage.
4. Which formula is used?
Vs = π(2D²−d²)L/4; Vref = Vs(pg+pamb)/pref × Tref/T; Qref = Vref c
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
Ideal dry gas with both chambers filled to supply pressure once per cycle. Temperatures are converted to kelvin. Piping, dead volume, leakage, cushioning and humidity are excluded. This is an explicit reference state, not a certified ANR flow or a valve peak-flow selection.
