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Sag Correction of Unsupported Tape Formula

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

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

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

Sag Correction of Unsupported Tape Example

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

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

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

4.2715 = \frac{(3^{2}) \cdot (9^{3})}{24 \cdot (8^{2})}

4.2715m = \frac{({3kg/m}^{2}) \cdot ({9m}^{3})}{24 \cdot ({8N}^{2})}

4.2715 = \frac{(3^{2}) \cdot (9^{3})}{24 \cdot (8^{2})}

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Sag Correction of Unsupported Tape Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C s = \frac{({3kg/m}^{2}) \cdot ({9m}^{3})}{24 \cdot ({8N}^{2})}

Next Step Prepare to Evaluate

∴

C s = \frac{(3^{2}) \cdot (9^{3})}{24 \cdot (8^{2})}

Next Step Evaluate

∴

C s = 4.271484375m

LAST Step Rounding Answer

∴

C s = 4.2715m

Sag Correction of Unsupported Tape Formula Elements

Variables

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

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

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

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

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 Tape Weight given Sag Correction of Unsupported Tape

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

How to Evaluate Sag Correction of Unsupported Tape?

Sag Correction of Unsupported Tape evaluator uses Sag Correction = ((Weight of Tape per Unit Length^2)*(Unsupported Length^3))/(24*(Initial Tension^2)) to evaluate the Sag Correction, The Sag Correction of Unsupported Tape formula is defined as the adjustment applied to the measured length of a tape that has sagged under its own weight during a measurement. It corrects for the discrepancy between the measured length of the tape and the actual distance. Sag Correction is denoted by C_s symbol.

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

FAQs on Sag Correction of Unsupported Tape

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

The formula of Sag Correction of Unsupported Tape is expressed as Sag Correction = ((Weight of Tape per Unit Length^2)*(Unsupported Length^3))/(24*(Initial Tension^2)). Here is an example- 4.271484 = ((3^2)*(9^3))/(24*(8^2)).

How to calculate Sag Correction of Unsupported Tape?

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

Can the Sag Correction of Unsupported Tape be negative?

Yes, the Sag Correction of Unsupported Tape, measured in Length can be negative.

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

Sag Correction of Unsupported Tape is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Sag Correction of Unsupported Tape can be measured.

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