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Tape Weight per Foot for Sag Correction between Points of Support Formula

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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. Check FAQs

W = \sqrt{\frac{C s \cdot 24 \cdot P^{2}}{{U l}^{3}}}

W - Weight of Tape per Unit Length?C_s - Sag Correction?P - Pull on Tape?U_l - Unsupported Length?

Tape Weight per Foot for Sag Correction between Points of Support Example

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Here is how the Tape Weight per Foot for Sag Correction between Points of Support equation looks like with Values.

Here is how the Tape Weight per Foot for Sag Correction between Points of Support equation looks like with Units.

Here is how the Tape Weight per Foot for Sag Correction between Points of Support equation looks like.

2.9998 = \sqrt{\frac{4.271 \cdot 24 \cdot 8^{2}}{9^{3}}}

2.9998kg/m = \sqrt{\frac{4.271m \cdot 24 \cdot {8N}^{2}}{{9m}^{3}}}

2.9998 = \sqrt{\frac{4.271 \cdot 24 \cdot 8^{2}}{9^{3}}}

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Tape Weight per Foot for Sag Correction between Points of Support Solution

Follow our step by step solution on how to calculate Tape Weight per Foot for Sag Correction between Points of Support?

FIRST Step Consider the formula

W = \sqrt{\frac{C s \cdot 24 \cdot P^{2}}{{U l}^{3}}}

Next Step Substitute values of Variables

∴

W = \sqrt{\frac{4.271m \cdot 24 \cdot {8N}^{2}}{{9m}^{3}}}

Next Step Prepare to Evaluate

∴

W = \sqrt{\frac{4.271 \cdot 24 \cdot 8^{2}}{9^{3}}}

Next Step Evaluate

∴

W = 2.99982989915567kg/m

LAST Step Rounding Answer

∴

W = 2.9998kg/m

Tape Weight per Foot for Sag Correction between Points of Support Formula Elements

Variables

Functions

Weight of Tape per Unit Length

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.

Symbol: W

Measurement: Linear Mass DensityUnit: kg/m

Note: Value can be positive or negative.

Formulas to find Weight of Tape per Unit Length

Sag Correction

Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems.

Symbol: C_s

Measurement: LengthUnit: m

Note: Value should be between -10 to 10.

Formulas to find Sag Correction

Pull on Tape

Pull on Tape is the tension or pull applied to the tape in newtons (N).

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Pull on Tape

Unsupported Length

Unsupported Length is the span or distance between supports or points of restraint for a structural member, such as a beam or a column.

Symbol: U_l

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Unsupported Length

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.

Syntax: sqrt(Number)

Other formulas in Temperature Corrections category

Go Temperature Corrections for Incorrect Tape Length

C temp = \frac{(L a - A o) \cdot U l}{A o}

Go Sag Correction between Points of Support

C s = - (W^{2}) \cdot \frac{{U l}^{3}}{24 \cdot P^{2}}

Go Unsupported Tape Length given Sag Correction between Points of Support

U l = {(\frac{24 \cdot C s \cdot P^{2}}{W^{2}})}^{\frac{1}{3}}

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

P = \sqrt{\frac{- W^{2} \cdot {U l}^{3}}{24 \cdot C s}}

How to Evaluate Tape Weight per Foot for Sag Correction between Points of Support?

Tape Weight per Foot for Sag Correction between Points of Support evaluator uses Weight of Tape per Unit Length = sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3)) to evaluate the Weight of Tape per Unit Length, The Tape Weight per Foot for Sag Correction between Points of Support formula is defined as the weight of tape per foot or meter or the weight of the tape per unit length or self-weight of tape. Weight of Tape per Unit Length is denoted by W symbol.

How to evaluate Tape Weight per Foot for Sag Correction between Points of Support using this online evaluator? To use this online evaluator for Tape Weight per Foot for Sag Correction between Points of Support, enter Sag Correction (C_s), Pull on Tape (P) & Unsupported Length (U_l) and hit the calculate button.

FAQs on Tape Weight per Foot for Sag Correction between Points of Support

What is the formula to find Tape Weight per Foot for Sag Correction between Points of Support?

The formula of Tape Weight per Foot for Sag Correction between Points of Support is expressed as Weight of Tape per Unit Length = sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3)). Here is an example- 2.99983 = sqrt((4.271*24*8^2)/(9^3)).

How to calculate Tape Weight per Foot for Sag Correction between Points of Support?

With Sag Correction (C_s), Pull on Tape (P) & Unsupported Length (U_l) we can find Tape Weight per Foot for Sag Correction between Points of Support using the formula - Weight of Tape per Unit Length = sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3)). This formula also uses Square Root (sqrt) function(s).

Can the Tape Weight per Foot for Sag Correction between Points of Support be negative?

Yes, the Tape Weight per Foot for Sag Correction between Points of Support, measured in Linear Mass Density can be negative.

Which unit is used to measure Tape Weight per Foot for Sag Correction between Points of Support?

Tape Weight per Foot for Sag Correction between Points of Support is usually measured using the Kilogram per Meter[kg/m] for Linear Mass Density. Gram per Meter[kg/m] are the few other units in which Tape Weight per Foot for Sag Correction between Points of Support can be measured.

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