Description
Compare a supplied velocity against the terminal balance of a constant force and linear signed drag.
A mechanics calculation needs a coordinate frame, sign convention, and consistent force, length, mass, and time units. Vector projections, local balance terms, and ideal motion equations describe particular parts of a physical model. They do not automatically establish all equilibrium conditions or the validity of the model.
Compare a supplied velocity against the terminal balance of a constant force and linear signed drag.
When to use this tool
Use Linear Drag Terminal Force Residual when you need this particular projection, balance, frame conversion, or ideal-model component from supplied physical quantities.
How to use the tool and how it works
- Enter drivingForce, dragCoefficient, velocity. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read terminalVelocity, residualForce. Use the output convention below.
For positive dragCoefficient return terminalVelocity=drivingForce/dragCoefficient and residualForce=drivingForce-dragCoefficient*velocity.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| drivingForce | Driving Force | Required. Finite number. |
| dragCoefficient | Drag Coefficient | Required. Finite number; strictly above 0. |
| velocity | Velocity | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| terminalVelocity | Terminal Velocity | Required. Finite number. |
| residualForce | Residual Force | Required. Finite number. |
{
"input": {
"drivingForce": 10,
"dragCoefficient": 2,
"velocity": 3
},
"output": {
"terminalVelocity": 5,
"residualForce": 4
}
}Limitations and assumptions
- The coefficient is force per velocity and signs must share one axis. This assumes constant driving force and linear drag; it neither fits drag nor solves a trajectory or verifies safe terminal motion.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Use a complete force, motion, or energy model when a single contribution is insufficient. Check coordinate frames, idealizations, and dimensional consistency before combining calculated terms.
References
Similar or alternative tools
- Lever Equilibrium Single Force Residual
Sum explicitly signed planar lever moments; arm signs establish the torque convention.
- Momentum Energy Classical Consistency Residual
Compare supplied translational kinetic energy with the classical momentum relation p²/(2m).