Examples
Examples
Try the starting example
- Contact points: name, forward coordinate mm, upward coordinate mm relative to bar clamp
- Hood,3,4 Drop,0,-5
- Bar rotation counterclockwise (degrees)
- 90
- Clamp forward coordinate (mm)
- 100
- Clamp upward coordinate (mm)
- 200
- Rotated contact coordinates x,y (mm)
- Hood: 96, 203; Drop: 105, 200
- Contact displacement from zero rotation x,y (mm)
- Hood: -7, -1; Drop: 5, 5
- Distance of each point from clamp (mm)
- Hood: 5; Drop: 5
Try another scenario
- Contact points: name, forward coordinate mm, upward coordinate mm relative to bar clamp
- Hood,3,4 Drop,0,-5
- Bar rotation counterclockwise (degrees)
- 0
- Clamp forward coordinate (mm)
- 100
- Clamp upward coordinate (mm)
- 200
- Rotated contact coordinates x,y (mm)
- Hood: 103, 204; Drop: 100, 195
- Contact displacement from zero rotation x,y (mm)
- Hood: 0, 0; Drop: 0, 0
- Distance of each point from clamp (mm)
- Hood: 5; Drop: 5
Calculation method
Calculation method
Rotated contact coordinates x,y (mm)
Rotate each local point by x′=x cosθ−y sinθ, y′=x sinθ+y cosθ; add clamp coordinates.
Contact displacement from zero rotation x,y (mm)
Subtract each original unrotated global contact point.
Distance of each point from clamp (mm)
sqrt(local x²+local y²), invariant under rotation.
Symbols and units
- a
- Contact points: name, forward coordinate mm, upward coordinate mm relative to bar clamp
- b
- Bar rotation counterclockwise (degrees)
- c
- Clamp forward coordinate (mm)
- d
- Clamp upward coordinate (mm)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- A rigid side-view coordinate transform for points you measure. It excludes hood movement relative to bars, cable restrictions and suitability of the resulting riding position.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: Euclidean geometry and trigonometric identities ↗
Background reading; this does not imply endorsement or independent review of SumFizz.