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Error Due to Curvature Effect Formula

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Error due to Curvature is the error formed during the surveying when the geodetic shape of the earth is considered or the curvature effect of the earth is considered. It should be taken in meters. Check FAQs

c = \frac{D^{2}}{2 \cdot R}

c - Error due to Curvature?D - Distance between Two Points?R - Earth Radius in km?

Error Due to Curvature Effect Example

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Here is how the Error Due to Curvature Effect equation looks like with Values.

Here is how the Error Due to Curvature Effect equation looks like with Units.

Here is how the Error Due to Curvature Effect equation looks like.

0.0989 = \frac{{35.5}^{2}}{2 \cdot 6370}

0.0989 = \frac{{35.5m}^{2}}{2 \cdot 6370}

0.0989 = \frac{{35.5}^{2}}{2 \cdot 6370}

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Error Due to Curvature Effect Solution

Follow our step by step solution on how to calculate Error Due to Curvature Effect?

FIRST Step Consider the formula

c = \frac{D^{2}}{2 \cdot R}

Next Step Substitute values of Variables

∴

c = \frac{{35.5m}^{2}}{2 \cdot 6370}

Next Step Prepare to Evaluate

∴

c = \frac{{35.5}^{2}}{2 \cdot 6370}

Next Step Evaluate

∴

c = 0.0989207221350079

LAST Step Rounding Answer

∴

c = 0.0989

Error Due to Curvature Effect Formula Elements

Variables

Error due to Curvature

Error due to Curvature is the error formed during the surveying when the geodetic shape of the earth is considered or the curvature effect of the earth is considered. It should be taken in meters.

Symbol: c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Error due to Curvature

Distance between Two Points

Distance between Two Points is defined as the length of space between two points. For finding the distance when curvature effects are considered, the value must be considered in kilometres.

Symbol: D

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance between Two Points

Earth Radius in km

Earth radius in km is the distance from the center of Earth to a point on or near its surface. Approximating earth as a spheroid, the radius ranges from 6,357 km to 6,378 km.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Earth Radius in km

Other formulas in Levelling category

Go Distance between Two points under Curvature and Refraction

D = {(2 \cdot R \cdot c + (c^{2}))}^{\frac{1}{2}}

Go Distance for small errors under Curvature and Refraction

D = \sqrt{2 \cdot R \cdot c}

Go Combined Error Due to Curvature and Refraction

c_r = 0.0673 \cdot D^{2}

Go Correction on Refraction Error

c r = 0.0112 \cdot D^{2}

How to Evaluate Error Due to Curvature Effect?

Error Due to Curvature Effect evaluator uses Error due to Curvature = Distance between Two Points^2/(2*Earth Radius in km) to evaluate the Error due to Curvature, The Error Due to Curvature Effect is the error obtained during measuring the distance between two points when the shape of earth is considered in effect. Error due to Curvature is denoted by c symbol.

How to evaluate Error Due to Curvature Effect using this online evaluator? To use this online evaluator for Error Due to Curvature Effect, enter Distance between Two Points (D) & Earth Radius in km (R) and hit the calculate button.

FAQs on Error Due to Curvature Effect

What is the formula to find Error Due to Curvature Effect?

The formula of Error Due to Curvature Effect is expressed as Error due to Curvature = Distance between Two Points^2/(2*Earth Radius in km). Here is an example- 0.098921 = 35.5^2/(2*6370).

How to calculate Error Due to Curvature Effect?

With Distance between Two Points (D) & Earth Radius in km (R) we can find Error Due to Curvature Effect using the formula - Error due to Curvature = Distance between Two Points^2/(2*Earth Radius in km).

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