Description
Transform one-axis momentum between supplied Galilean frames.
Physical quantities require compatible units, coordinate directions, reference origins and model assumptions. Mass and weight, angular and cyclic frequency, particle velocity and wave speed are distinct quantities. Ideal single-axis, linear-spring and constant-torque terms describe supplied models rather than identify real material behavior or safe operating limits.
Transform one-axis momentum between supplied Galilean frames.
When to use this tool
Use Momentum Two Frame Single Axis Shift when you already have massKilograms, firstFrameVelocity, relativeFrameVelocity and need to transform one-axis momentum between supplied Galilean frames.
How to use the tool and how it works
- Enter massKilograms, firstFrameVelocity, relativeFrameVelocity. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read secondFrameVelocity, secondFrameMomentum. Use the output convention below.
Require massKilograms>=0; second velocity=first velocity-relative frame velocity and second momentum=mass*second velocity.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| massKilograms | Mass Kilograms | Required. Finite number; minimum 0. |
| firstFrameVelocity | First Frame Velocity | Required. Finite number. |
| relativeFrameVelocity | Second frame velocity relative to the first; subtract from the first-frame particle velocity. | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| secondFrameVelocity | Second Frame Velocity | Required. Finite number. |
| secondFrameMomentum | Second Frame Momentum | Required. Finite number. |
{
"input": {
"massKilograms": 2,
"firstFrameVelocity": 5,
"relativeFrameVelocity": 3
},
"output": {
"secondFrameVelocity": 2,
"secondFrameMomentum": 4
}
}Limitations and assumptions
- Uses nonrelativistic collinear velocities in a common unit; no relativistic transformation or actual inertial-frame validity is established.
- 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. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the full force, energy or wave model with compatible reference frames and units for a physical prediction. Include changing loads, material behavior and losses when the ideal constant-parameter term no longer represents the system.
References
Similar or alternative tools
- Mass Weight Reference Gravity Crosswalk
Calculate weight magnitude under a supplied gravity magnitude.
- Vector Reflection Plane Distance Sign
Apply point-reflection and normal-reversal signs to a signed plane distance.