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Tape Weight given Sag Correction of Unsupported Tape 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 = {(\frac{C s \cdot 24 \cdot ({P i}^{2})}{{U l}^{3}})}^{\frac{1}{2}}

W - Weight of Tape per Unit Length?C_s - Sag Correction?P_i - Initial Tension?U_l - Unsupported Length?

Tape Weight given Sag Correction of Unsupported Tape Example

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Here is how the Tape Weight given Sag Correction of Unsupported Tape equation looks like with Values.

Here is how the Tape Weight given Sag Correction of Unsupported Tape equation looks like with Units.

Here is how the Tape Weight given Sag Correction of Unsupported Tape equation looks like.

2.9998 = {(\frac{4.271 \cdot 24 \cdot (8^{2})}{9^{3}})}^{\frac{1}{2}}

2.9998kg/m = {(\frac{4.271m \cdot 24 \cdot ({8N}^{2})}{{9m}^{3}})}^{\frac{1}{2}}

2.9998 = {(\frac{4.271 \cdot 24 \cdot (8^{2})}{9^{3}})}^{\frac{1}{2}}

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Tape Weight given Sag Correction of Unsupported Tape Solution

Follow our step by step solution on how to calculate Tape Weight given Sag Correction of Unsupported Tape?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W = {(\frac{4.271m \cdot 24 \cdot ({8N}^{2})}{{9m}^{3}})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

W = {(\frac{4.271 \cdot 24 \cdot (8^{2})}{9^{3}})}^{\frac{1}{2}}

Next Step Evaluate

∴

W = 2.99982989915567kg/m

LAST Step Rounding Answer

∴

W = 2.9998kg/m

Tape Weight given Sag Correction of Unsupported Tape Formula Elements

Variables

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

Initial Tension

Initial Tension is the initial force or stress applied to a structural element or a component of a structure before it undergoes any external loading.

Symbol: P_i

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Initial Tension

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

Other formulas in Correction for Tension and Sag to Measured Length category

Go Tension Correction to Measured Length

C p = (((P f - P i) \cdot s) \cdot \frac{100000}{A \cdot E s})

Go Tape Cross-Sectional Area for Tension Correction to Measured Length

A = ((P f - P i) \cdot s) \cdot \frac{100000}{C p \cdot E s}

Go Tape Elasticity Modulus given Tension Correction to Measured Length

E s = ((P f - P i) \cdot s) \cdot \frac{100000}{C p \cdot A}

Go Sag Correction of Unsupported Tape

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

How to Evaluate Tape Weight given Sag Correction of Unsupported Tape?

Tape Weight given Sag Correction of Unsupported Tape evaluator uses Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2) to evaluate the Weight of Tape per Unit Length, The Tape Weight given Sag Correction of Unsupported Tape formula is defined as the weight of the tape that is used in the correction calculations for sag. When a tape measure is stretched between two points without support, it tends to sag due to its own weight. The sag correction adjusts the measured distance to account for this sag. Weight of Tape per Unit Length is denoted by W symbol.

How to evaluate Tape Weight given Sag Correction of Unsupported Tape using this online evaluator? To use this online evaluator for Tape Weight given Sag Correction of Unsupported Tape, enter Sag Correction (C_s), Initial Tension (P_i) & Unsupported Length (U_l) and hit the calculate button.

FAQs on Tape Weight given Sag Correction of Unsupported Tape

What is the formula to find Tape Weight given Sag Correction of Unsupported Tape?

The formula of Tape Weight given Sag Correction of Unsupported Tape is expressed as Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2). Here is an example- 5.028315 = ((4.271*24*(8^2))/(9^3))^(1/2).

How to calculate Tape Weight given Sag Correction of Unsupported Tape?

With Sag Correction (C_s), Initial Tension (P_i) & Unsupported Length (U_l) we can find Tape Weight given Sag Correction of Unsupported Tape using the formula - Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2).

Can the Tape Weight given Sag Correction of Unsupported Tape be negative?

Yes, the Tape Weight given Sag Correction of Unsupported Tape, measured in Linear Mass Density can be negative.

Which unit is used to measure Tape Weight given Sag Correction of Unsupported Tape?

Tape Weight given Sag Correction of Unsupported Tape 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 given Sag Correction of Unsupported Tape can be measured.

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