Match the diagram conditions, then follow the example inputs and results. Change numerical values in the calculator.
1. Match the diagram to your question
ねじを回すとナットが直線に進みます。ねじ軸のトルクと直線の推力は別の量です。
リードℓは1回転で進む距離です。推力Fと効率η、回転数nを確認します。
必要な軸方向推力 F
1,000 N
リード ℓ（1回転の移動量）
5 mm
正作動の効率 η
90 %
ねじの回転数 n / 角速度 ω
300 rpm
橙のTはねじ軸で必要なトルクです。モーター自身やねじの加速慣性はまだ加えていません。
T · ねじ軸の駆動トルク T
0.884194 N·m
v · 直線移動速度 v
0.025 m/s
ねじ軸への入力動力
27.7778 W
Rotating the screw moves the nut linearly. Screw torque and linear thrust are different quantities.
Lead ℓ is travel in one revolution. Check thrust F, efficiency η and speed n.
Required axial thrust F
1,000 N
Lead ℓ (travel per revolution)
5 mm
Forward-drive efficiency η
90 %
Screw speed n / angular velocity ω
300 rpm
Orange T is required screw-shaft torque. Motor and screw acceleration inertia are not yet included.
T · Drive torque at screw T
0.884194 N·m
v · Linear speed v
0.025 m/s
Screw-shaft input power
27.7778 W
Blue marks inputs; orange marks outputs. These diagrams explain the fixed example below; dimensions and deformation are not drawn to physical scale.
Calculation direction: thrust → torque
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2. Example inputs
Required axial thrust FWhat goes here?
Magnitude of a push or pull, in force units such as N, rather than mass in kg.
1,000 N
Lead ℓ (travel per revolution)What goes here?
Distance travelled in one screw revolution. It differs from pitch for a multi-start thread.
5 mm
Forward-drive efficiency ηWhat goes here?
Forward efficiency from rotation to translation differs greatly between ball and sliding screws.
Reference values apply to the documented products and conditions. Preload, support-bearing and seal torques may be separate. Check actual forward efficiency and distinguish it from reverse efficiency.
Choose values for actual contact, lubrication, temperature and other conditions. These initial values are examples.
90 %
Screw speed n / angular velocity ωWhat goes here?
Rotational speed, for example revolutions per minute (rpm), rather than an angle.
300 rpm
These are fixed teaching inputs. Coefficients, properties and comparison limits are not recommendations. Enter your conditions in the calculator.
3. Results for this example
Drive torque at screw T
0.884194 N·m
Linear speed v
0.025 m/s
Screw-shaft input power
27.7778 W
This example converts 1,000 N with 5 mm lead and 90% efficiency. Lead is travel per revolution. The torque is at the screw shaft and excludes motor acceleration.
4. Which formula is used?
T = Fℓ/(2πη); v = ωℓ/(2π); Pout = Fv; Pin = Tω
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 power transmission from screw shaft to linear load. Lead is travel per revolution and differs from pitch on multi-start screws. η is screw efficiency for the actual conditions. Preload, bearing and seal torque, rotational inertia, critical speed, buckling, life, backdriving, self-locking and brake holding are excluded. This differs from bolt tightening preload.
