Unsupported Tape Length given Sag Correction between Points of Support Calculator

✖Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems.ⓘ Sag Correction [C_s]			+10% -10%
✖Pull on Tape is the tension or pull applied to the tape in newtons (N).ⓘ Pull on Tape [P]			+10% -10%
✖Weight of Tape per Unit Length is a measurement used in surveying to determine weight of measuring tape over a certain distance and is used to calculate tension and sag of tape during measurements.ⓘ Weight of Tape per Unit Length [W]			+10% -10%

✖Unsupported Length is the length between the support.ⓘ Unsupported Tape Length given Sag Correction between Points of Support [U_l]

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Unsupported Tape Length given Sag Correction between Points of Support

Formula

`"U"_{"l"} = ((-24*"C"_{"s"}*"P"^2)/("W"^2))^(1/3)`

Example

`"-8.996265m"=((-24*"12m"*("4.77N")^2)/(("3kg/m")^2))^(1/3)`

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Unsupported Tape Length given Sag Correction between Points of Support Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unsupported Length = ((-24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3)
U_l = ((-24*C_s*P^2)/(W^2))^(1/3)
This formula uses 4 Variables

Variables Used

Unsupported Length - (Measured in Meter) - Unsupported Length is the length between the support.
Sag Correction - (Measured in Meter) - Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems.
Pull on Tape - (Measured in Newton) - Pull on Tape is the tension or pull applied to the tape in newtons (N).
Weight of Tape per Unit Length - (Measured in Kilogram per Meter) - Weight of Tape per Unit Length is a measurement used in surveying to determine weight of measuring tape over a certain distance and is used to calculate tension and sag of tape during measurements.

STEP 1: Convert Input(s) to Base Unit

Sag Correction: 12 Meter --> 12 Meter No Conversion Required
Pull on Tape: 4.77 Newton --> 4.77 Newton No Conversion Required
Weight of Tape per Unit Length: 3 Kilogram per Meter --> 3 Kilogram per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_l = ((-24*C_s*P^2)/(W^2))^(1/3) --> ((-24*12*4.77^2)/(3^2))^(1/3)

Evaluating ... ...

U_l = -8.99626511695313

STEP 3: Convert Result to Output's Unit

-8.99626511695313 Meter --> No Conversion Required

FINAL ANSWER

-8.99626511695313 ≈ -8.996265 Meter <-- Unsupported Length

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 5 Temperature Corrections Calculators

Temperature Corrections for Incorrect Tape Length

Go Length Correction due to Temperature = ((Actual Tape Length-Nominal Tape Length)*Unsupported Length)/(Nominal Tape Length)

Tape Weight per foot for Sag Correction between Points of Support

Go Weight of Tape per Unit Length = -sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3))

Pull-on Tape given Sag Correction between Points of Support

Go Pull on Tape = sqrt((-Weight of Tape per Unit Length^2*Unsupported Length^3)/(24*Sag Correction))

Unsupported Tape Length given Sag Correction between Points of Support

Go Unsupported Length = ((-24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3)

Sag Correction between Points of Support

Go Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2)

Unsupported Tape Length given Sag Correction between Points of Support Formula

Unsupported Length = ((-24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3)
U_l = ((-24*C_s*P^2)/(W^2))^(1/3)

What is Unsupported Length of Tape?

Unsupported Tape Length when Sag Correction Between Points of Support is the length of tape when it is not supported along its length will sag and form a catenary between end supports. The correction due to sag must be calculated separately for each unsupported stretch separately, there in which measured length is called Unsupported length of Tape.

What is Sag Correction?

A tape correction applied to the apparent length of a level base line to counteract the sag in measuring tape (i.e., the difference between the horizontal distance between supports and the length measured along the curve.) The correction due to sag must be calculated separately for each unsupported stretch separately. Hence the correction is taken to be negative.

How to Calculate Unsupported Tape Length given Sag Correction between Points of Support?

Unsupported Tape Length given Sag Correction between Points of Support calculator uses Unsupported Length = ((-24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3) to calculate the Unsupported Length, The Unsupported Tape Length given Sag Correction Between Points of Support formula is defined as the length between the two ends of the catenary in meters or feet. Unsupported Length is denoted by U_l symbol.

How to calculate Unsupported Tape Length given Sag Correction between Points of Support using this online calculator? To use this online calculator for Unsupported Tape Length given Sag Correction between Points of Support, enter Sag Correction (C_s), Pull on Tape (P) & Weight of Tape per Unit Length (W) and hit the calculate button. Here is how the Unsupported Tape Length given Sag Correction between Points of Support calculation can be explained with given input values -> -9.283178 = ((-24*12*4.77^2)/(3^2))^(1/3).

FAQ

What is Unsupported Tape Length given Sag Correction between Points of Support?

The Unsupported Tape Length given Sag Correction Between Points of Support formula is defined as the length between the two ends of the catenary in meters or feet and is represented as U_l = ((-24*C_s*P^2)/(W^2))^(1/3) or Unsupported Length = ((-24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3). Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems, Pull on Tape is the tension or pull applied to the tape in newtons (N) & Weight of Tape per Unit Length is a measurement used in surveying to determine weight of measuring tape over a certain distance and is used to calculate tension and sag of tape during measurements.

How to calculate Unsupported Tape Length given Sag Correction between Points of Support?

The Unsupported Tape Length given Sag Correction Between Points of Support formula is defined as the length between the two ends of the catenary in meters or feet is calculated using Unsupported Length = ((-24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3). To calculate Unsupported Tape Length given Sag Correction between Points of Support, you need Sag Correction (C_s), Pull on Tape (P) & Weight of Tape per Unit Length (W). With our tool, you need to enter the respective value for Sag Correction, Pull on Tape & Weight of Tape per Unit Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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