Pull-on Tape given Sag Correction between Points of Support Calculator

✖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 Length [U_l]			+10% -10%
✖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 given Sag Correction between Points of Support [P]

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Formula

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Pull-on Tape given Sag Correction between Points of Support

Formula

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

Example

`"4.772971N"=sqrt((-("3kg/m")^2*("9m")^3)/(24*"12m"))`

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Pull-on Tape given Sag Correction between Points of Support Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Weight of Tape per Unit Length: 3 Kilogram per Meter --> 3 Kilogram per Meter No Conversion Required
Unsupported Length: 9 Meter --> 9 Meter No Conversion Required
Sag Correction: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = sqrt((-W^2*U_l^3)/(24*C_s)) --> sqrt((-3^2*9^3)/(24*12))

Evaluating ... ...

P = 4.7729707730092

STEP 3: Convert Result to Output's Unit

4.7729707730092 Newton --> No Conversion Required

FINAL ANSWER

4.7729707730092 ≈ 4.772971 Newton <-- Pull on Tape

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Surveying Formulas » Measurement of Distance with Tapes » Temperature Corrections » Pull-on Tape given Sag Correction between Points of Support

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Bhilai Institute of Technology (BIT), Raipur

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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)

Pull-on Tape given Sag Correction between Points of Support Formula

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

How does the Temperature Correction Affect the Accuracy of Surveying measurements?

Temperature correction can significantly affect the accuracy of surveying measurements. Without temperature correction, the measurements can be off by a few millimetres or even centimetres, depending on the temperature difference. By applying temperature correction, surveyors can ensure that their measurements are accurate and reliable.

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 Pull-on Tape given Sag Correction between Points of Support?

Pull-on Tape given Sag Correction between Points of Support calculator uses Pull on Tape = sqrt((-Weight of Tape per Unit Length^2*Unsupported Length^3)/(24*Sag Correction)) to calculate the Pull on Tape, The Pull-on Tape given Sag Correction between Points of Support formula is defined as the tension or pull applied to the tape. Pull on Tape is denoted by P symbol.

How to calculate Pull-on Tape given Sag Correction between Points of Support using this online calculator? To use this online calculator for Pull-on Tape given Sag Correction between Points of Support, enter Weight of Tape per Unit Length (W), Unsupported Length (U_l) & Sag Correction (C_s) and hit the calculate button. Here is how the Pull-on Tape given Sag Correction between Points of Support calculation can be explained with given input values -> 4.772971 = sqrt((-3^2*9^3)/(24*12)).

FAQ

What is Pull-on Tape given Sag Correction between Points of Support?

The Pull-on Tape given Sag Correction between Points of Support formula is defined as the tension or pull applied to the tape and is represented as P = sqrt((-W^2*U_l^3)/(24*C_s)) or Pull on Tape = sqrt((-Weight of Tape per Unit Length^2*Unsupported Length^3)/(24*Sag Correction)). 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, Unsupported Length is the length between the support & Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems.

How to calculate Pull-on Tape given Sag Correction between Points of Support?

The Pull-on Tape given Sag Correction between Points of Support formula is defined as the tension or pull applied to the tape is calculated using Pull on Tape = sqrt((-Weight of Tape per Unit Length^2*Unsupported Length^3)/(24*Sag Correction)). To calculate Pull-on Tape given Sag Correction between Points of Support, you need Weight of Tape per Unit Length (W), Unsupported Length (U_l) & Sag Correction (C_s). With our tool, you need to enter the respective value for Weight of Tape per Unit Length, Unsupported Length & Sag Correction 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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