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Angle of Dip for Compass Surveying Formula

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Dip Angle is also known as the magnetic dip and is defined as the angle that is made by the earth's magnetic field lines with the horizontal. Check FAQs

θ = \frac{D}{R} \cdot (\frac{180}{π})

θ - Dip Angle?D - Distance between Two Points?R - Earth Radius in km?π - Archimedes' constant?

Angle of Dip for Compass Surveying Example

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Here is how the Angle of Dip for Compass Surveying equation looks like with Values.

Here is how the Angle of Dip for Compass Surveying equation looks like with Units.

Here is how the Angle of Dip for Compass Surveying equation looks like.

18.2951 = \frac{35.5}{6370} \cdot (\frac{180}{3.1416})

18.2951° = \frac{35.5m}{6370} \cdot (\frac{180}{3.1416})

18.2951 = \frac{35.5}{6370} \cdot (\frac{180}{3.1416})

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Angle of Dip for Compass Surveying Solution

Follow our step by step solution on how to calculate Angle of Dip for Compass Surveying?

FIRST Step Consider the formula

θ = \frac{D}{R} \cdot (\frac{180}{π})

Next Step Substitute values of Variables

∴

θ = \frac{35.5m}{6370} \cdot (\frac{180}{π})

Next Step Substitute values of Constants

∴

θ = \frac{35.5m}{6370} \cdot (\frac{180}{3.1416})

Next Step Prepare to Evaluate

∴

θ = \frac{35.5}{6370} \cdot (\frac{180}{3.1416})

Next Step Evaluate

∴

θ = 0.319309289280129rad

Next Step Convert to Output's Unit

∴

θ = 18.2950746350767°

LAST Step Rounding Answer

∴

θ = 18.2951°

Angle of Dip for Compass Surveying Formula Elements

Variables

Constants

Dip Angle

Dip Angle is also known as the magnetic dip and is defined as the angle that is made by the earth's magnetic field lines with the horizontal.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Dip Angle

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Error Due to Curvature Effect

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

Go Combined Error Due to Curvature and Refraction

c_r = 0.0673 \cdot D^{2}

How to Evaluate Angle of Dip for Compass Surveying?

Angle of Dip for Compass Surveying evaluator uses Dip Angle = Distance between Two Points/Earth Radius in km*(180/pi) to evaluate the Dip Angle, Angle of Dip for Compass Surveying is also known as the magnetic dip and is defined as the angle that is made by the earth's magnetic field lines with the horizontal. The angle of dip is said to be positive when the magnetic field points downwards. Dip Angle is denoted by θ symbol.

How to evaluate Angle of Dip for Compass Surveying using this online evaluator? To use this online evaluator for Angle of Dip for Compass Surveying, enter Distance between Two Points (D) & Earth Radius in km (R) and hit the calculate button.

FAQs on Angle of Dip for Compass Surveying

What is the formula to find Angle of Dip for Compass Surveying?

The formula of Angle of Dip for Compass Surveying is expressed as Dip Angle = Distance between Two Points/Earth Radius in km*(180/pi). Here is an example- 1048.231 = 35.5/6370*(180/pi).

How to calculate Angle of Dip for Compass Surveying?

With Distance between Two Points (D) & Earth Radius in km (R) we can find Angle of Dip for Compass Surveying using the formula - Dip Angle = Distance between Two Points/Earth Radius in km*(180/pi). This formula also uses Archimedes' constant .

Can the Angle of Dip for Compass Surveying be negative?

Yes, the Angle of Dip for Compass Surveying, measured in Angle can be negative.

Which unit is used to measure Angle of Dip for Compass Surveying?

Angle of Dip for Compass Surveying is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Dip for Compass Surveying can be measured.

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