Deviation Redirect Angle Force Multiplier Calculator
Ideal equal-tension redirect resultant/T=2sin(travel-deflection/2),0straight-through,180reversal. Not Vanchorleg tension, friction, dynamic force or anchor/equipment rating.
Description
An ideal rope redirect combines equal tensions according to travel-direction deflection.
An ideal rope redirect combines equal tensions according to travel-direction deflection.1
The resulting multiplier uses the direction change rather than an unspecified angle between drawings of rope legs.
When to use Deviation Redirect Angle Force Multiplier Calculator
Use this tool to obtain conditionalEqualTensionRedirectResultantMultiplier from the supplied records using the stated calculation. Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
How to use Deviation Redirect Angle Force Multiplier Calculator and understand its results
- Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
- Enter actualTravelDeflectionAngleDegrees, using the field meanings and rules below, then run the tool.
- Read result.conditionalEqualTensionRedirectResultantMultiplier. Use the units and sign conventions below, and review any unknown records separately.
- Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualTravelDeflectionAngleDegrees | Actual travel deflection angle degrees | number | Required |
Require travel-direction change between zero and 180 degrees inclusively. Return twice the sine of half that angle. The dimensionless multiplier assumes ideal equal rope tensions and contains no actual tension input.
redirectMultiplier=2×sin(deflectionDegrees×pi/360) Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Qualified observed calculation or explicit reference | object |
| result.conditionalEqualTensionRedirectResultantMultiplier | Conditional Equal Tension Redirect Resultant Multiplier | number |
{
"input": {
"actualTravelDeflectionAngleDegrees": 90
},
"output": {
"result": {
"conditionalEqualTensionRedirectResultantMultiplier": 1.414213562373095
}
}
}Limitations and assumptions
The actual observation coverage, calibration and qualified plan determine applicability. A numerical result does not establish survey accuracy, route suitability, atmosphere conditions or equipment adequacy beyond the declared comparison.
Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related step, use Z-Rig Haul Mechanical Advantage Calculator: A Z-rig's mechanical advantage depends on its actual rope topology and moving strands. For a complementary comparison, use Counterweight Assist Haul Advantage Calculator: An ideal counterweight balance subtracts counterweight force from load force.
References
Similar or alternative tools
- Z-Rig Haul Mechanical Advantage Calculator
A Z-rig's mechanical advantage depends on its actual rope topology and moving strands.
- Counterweight Assist Haul Advantage Calculator
An ideal counterweight balance subtracts counterweight force from load force.