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CALCULATORS / LEAD SCREWS AND LINEAR STAGES

Lead-screw torque, speed and thrust calculator

Simplified screw: axial thrust from torque and efficiency

screws-lead-screw.napkin / editable
✓ checks pass

SCENARIO COMPARISON

Compare the numbers.

This source describes an analytical model. Its quantities and checks are the view.

ScenariothrustNlinearSpeedmm/min
1319.479424.78
2450.449424.78

All calculated quantities are listed with the inputs. Switch to Source to inspect the equations.

SCENARIOS / CALCULATED VALUESSAME SOURCE

Change an input to see the consequences.

load budget1319.47 N✓ passes

BASELINE INPUTS

CALCULATED

thrust1319.5 N
linearSpeed9424.8 mm/min

Edits change the baseline source.

Calculated from your source · not saved
Baseline · Baseline
load budget1319.47 N ✓ passes
efficient · efficient
load budget2450.44 N ✓ passes

Illustrative first-order example. Checks are editable requirements, not design standards. The broader topic may require additional equations, data, and validation.

Formula and units

This example uses the following equations. Input names and units match the editable source above.

thrust
thrust = 2 * pi * efficiency * torque / lead [N]
linear speed
linearSpeed = turnRate * lead [mm/min]

Original worked example

These are the baseline values in the downloadable source. Edits above let you test your own values.

Given

torque
3 N*m
lead
5 mm
efficiency
0.35
turn rate
300 rpm

Calculated

thrust
1319.47 N
linear speed
9424.78 mm/min

Assumptions and limits

Simplified screw: axial thrust from torque and efficiency

The requirement checks use the limits written in this example. Passing a check does not establish that the model covers every load, material behavior, or operating condition in a real design.

Download this .napkin example ↓

Take it further with your agent

Napkin keeps the inputs, equations, checks and assumptions together in one study. Your agent sets it up; you change the numbers.

Try with Claude ↗

codex 'Use Napkin (https://napkin.engineering/mcp, or the local Napkin plugin) to build a study: Lead-screw torque, speed and thrust. Inputs: lead; RPM; load; efficiency. Outputs: thrust; travel speed; drive torque. Model scope: Screw kinematics with efficiency and load assumptions. Read napkin_capabilities and the current snapshot. Ask me for the values that matter, label assumptions with units, author .napkin source, validate it and apply it with napkin_source using the current revision, then open the study. Add checks for the limits I supply. Keep unsupported analyses explicit.'

Claude needs the Napkin connector; Codex needs the Napkin plugin. Set up your agent ↗

The broader study

The topic brief below describes the broader scope. The worked example above states the particular calculation it implements.

  • Inputs: lead, RPM, load, efficiency
  • Outputs: thrust, travel speed, drive torque
  • Modes: calculate, compare, sweep
  • Drawing: Linear-stage animation

EXECUTABLE WORKED EXAMPLE · FIRST-ORDER MODEL · CHECK THE SCOPE & ASSUMPTIONS

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