Tape Weight given Sag Correction of Unsupported Tape Solution

STEP 0: Pre-Calculation Summary
Formula Used
Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2)
W = ((Cs*24*(Pi^2))/(Ul^3))^(1/2)
This formula uses 4 Variables
Variables Used
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.
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.
Initial Tension - (Measured in Newton) - Initial tension at which tape is standardized.
Unsupported Length - (Measured in Meter) - Unsupported Length is the length between the support.
STEP 1: Convert Input(s) to Base Unit
Sag Correction: 12 Meter --> 12 Meter No Conversion Required
Initial Tension: 8 Newton --> 8 Newton No Conversion Required
Unsupported Length: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = ((Cs*24*(Pi^2))/(Ul^3))^(1/2) --> ((12*24*(8^2))/(9^3))^(1/2)
Evaluating ... ...
W = 5.02831488843767
STEP 3: Convert Result to Output's Unit
5.02831488843767 Kilogram per Meter --> No Conversion Required
FINAL ANSWER
5.02831488843767 5.028315 Kilogram per Meter <-- Weight of Tape per Unit Length
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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NSS College of Engineering (NSSCE), Palakkad
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5 Correction for Tension and Sag to Measured Length Calculators

Tension Correction to Measured Length
Go Tension Correction = (((Final Tension-Initial Tension)*Measured Length)*100000/(Area of Tape*Modulus of Elasticity of Steel))
Tape Cross-Sectional Area for Tension Correction to Measured Length
Go Area of Tape = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Modulus of Elasticity of Steel)
Tape Elasticity Modulus given Tension Correction to Measured Length
Go Modulus of Elasticity of Steel = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Area of Tape)
Tape Weight given Sag Correction of Unsupported Tape
Go Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2)
Sag Correction of Unsupported Tape
Go Sag Correction = ((Weight of Tape per Unit Length^2)*(Unsupported Length^3))/(24*(Initial Tension^2))

Tape Weight given Sag Correction of Unsupported Tape Formula

Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2)
W = ((Cs*24*(Pi^2))/(Ul^3))^(1/2)

How is the Correction Factor for Tension and Sag Calculated?

The correction factor is calculated based on the tension, sag, and other physical properties of the cable or wire, such as its weight per unit length and the distance between supports.

How can Errors in Tension and Sag Corrections be Minimized in Surveying?

Errors in tension and sag corrections can be minimized in surveying by ensuring that the tape is properly supported and that the tension applied is consistent and within the range specified by the tape manufacturer. Additionally, the tape should be kept clean and dry to prevent any changes in its properties.

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

Tape Weight given Sag Correction of Unsupported Tape calculator uses Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2) to calculate the Weight of Tape per Unit Length, The Tape Weight given Sag Correction of Unsupported Tape formula is defined as the weight of tape calculated by using the value of sag correction. Weight of Tape per Unit Length is denoted by W symbol.

How to calculate Tape Weight given Sag Correction of Unsupported Tape using this online calculator? To use this online calculator for Tape Weight given Sag Correction of Unsupported Tape, enter Sag Correction (Cs), Initial Tension (Pi) & Unsupported Length (Ul) and hit the calculate button. Here is how the Tape Weight given Sag Correction of Unsupported Tape calculation can be explained with given input values -> 5.028315 = ((12*24*(8^2))/(9^3))^(1/2).

FAQ

What is Tape Weight given Sag Correction of Unsupported Tape?
The Tape Weight given Sag Correction of Unsupported Tape formula is defined as the weight of tape calculated by using the value of sag correction and is represented as W = ((Cs*24*(Pi^2))/(Ul^3))^(1/2) or Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2). Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems, Initial tension at which tape is standardized & Unsupported Length is the length between the support.
How to calculate Tape Weight given Sag Correction of Unsupported Tape?
The Tape Weight given Sag Correction of Unsupported Tape formula is defined as the weight of tape calculated by using the value of sag correction is calculated using Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2). To calculate Tape Weight given Sag Correction of Unsupported Tape, you need Sag Correction (Cs), Initial Tension (Pi) & Unsupported Length (Ul). With our tool, you need to enter the respective value for Sag Correction, Initial Tension & Unsupported 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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