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Distance Equation given Index Error Formula

GoHorizontal Distance using Gradienter Formula

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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. Check FAQs

D = (K M \cdot \frac{s i}{m - e}) + C add

D - Distance between Two Points?K_M - Multiplying Constant?s_i - Staff Intercept?m - Revolution of Screw?e - Index Error?C_add - Additive Constant?

Distance Equation given Index Error Example

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Here is how the Distance Equation given Index Error equation looks like with Values.

Here is how the Distance Equation given Index Error equation looks like with Units.

Here is how the Distance Equation given Index Error equation looks like.

35.5 = (12 \cdot \frac{3}{3.1 - 1.5}) + 13

35.5m = (12 \cdot \frac{3m}{3.1 - 1.5}) + 13

35.5 = (12 \cdot \frac{3}{3.1 - 1.5}) + 13

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Distance Equation given Index Error Solution

Follow our step by step solution on how to calculate Distance Equation given Index Error?

FIRST Step Consider the formula

D = (K M \cdot \frac{s i}{m - e}) + C add

Next Step Substitute values of Variables

∴

D = (12 \cdot \frac{3m}{3.1 - 1.5}) + 13

Next Step Prepare to Evaluate

∴

D = (12 \cdot \frac{3}{3.1 - 1.5}) + 13

LAST Step Evaluate

∴

D = 35.5m

Distance Equation given Index Error Formula Elements

Variables

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

Multiplying Constant

Multiplying constant is used in stadia work, by which the staff intercept is multiplied to determine the distance between the staff and the theodolite.

Symbol: K_M

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Multiplying Constant

Staff Intercept

Staff intercept is the difference in reading between top and bottom cross hairs.

Symbol: s_i

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Staff Intercept

Revolution of Screw

Revolution of screw is the number of revolutions made for the micrometer screw.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Revolution of Screw

Index Error

Index error is the error formed during stadia survey.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Index Error

Additive Constant

Additive constant is the sum of focal length of the object lens and distance from the center of the object lens to the center of the instrument.

Symbol: C_add

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Additive Constant

Other Formulas to find Distance between Two Points

Go Horizontal Distance using Gradienter

D = s i \cdot \frac{100 \cdot {\cos (x)}^{2} \cdot 0.5 \cdot \sin (2 \cdot x)}{m \cdot c}

Other formulas in Stadia Surveying category

Go Horizontal Distance between Center of Transit and Rod

H Horizontal = (K \cdot R i \cdot {(\cos (a))}^{2}) + (fc \cdot \cos (a))

Go Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair

V = \frac{1}{2 \cdot ((K \cdot R i \cdot \sin (2 \cdot a)) + (fc \cdot \sin (a)))}

Go Additive Constant or Stadia Constant

C = (f + D c)

Go Stadia Distance from Instrument Spindle to Rod

D s = R \cdot ((\frac{f}{R i}) + C)

How to Evaluate Distance Equation given Index Error?

Distance Equation given Index Error evaluator uses Distance between Two Points = (Multiplying Constant*Staff Intercept/(Revolution of Screw-Index Error))+Additive Constant to evaluate the Distance between Two Points, The Distance Equation given Index Error formula is defined as a distance when a number of revolutions of the screw and index error are already established. Distance between Two Points is denoted by D symbol.

How to evaluate Distance Equation given Index Error using this online evaluator? To use this online evaluator for Distance Equation given Index Error, enter Multiplying Constant (K_M), Staff Intercept (s_i), Revolution of Screw (m), Index Error (e) & Additive Constant (C_add) and hit the calculate button.

FAQs on Distance Equation given Index Error

What is the formula to find Distance Equation given Index Error?

The formula of Distance Equation given Index Error is expressed as Distance between Two Points = (Multiplying Constant*Staff Intercept/(Revolution of Screw-Index Error))+Additive Constant. Here is an example- 35.5 = (12*3/(3.1-1.5))+13.

How to calculate Distance Equation given Index Error?

With Multiplying Constant (K_M), Staff Intercept (s_i), Revolution of Screw (m), Index Error (e) & Additive Constant (C_add) we can find Distance Equation given Index Error using the formula - Distance between Two Points = (Multiplying Constant*Staff Intercept/(Revolution of Screw-Index Error))+Additive Constant.

What are the other ways to Calculate Distance between Two Points?

Here are the different ways to Calculate Distance between Two Points-

Distance between Two Points=Staff Intercept*(100*cos(Vertical Angle)^2*0.5*sin(2*Vertical Angle))/(Revolution of Screw*Distance in One Turn)

Can the Distance Equation given Index Error be negative?

Yes, the Distance Equation given Index Error, measured in Length can be negative.

Which unit is used to measure Distance Equation given Index Error?

Distance Equation given Index Error is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance Equation given Index Error can be measured.

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Distance Equation given Index Error Formula

​GoHorizontal Distance using Gradienter Formula

Distance Equation given Index Error Example

Distance Equation given Index Error Solution

Distance Equation given Index Error Formula Elements

Other Formulas to find Distance between Two Points

Other formulas in Stadia Surveying category

How to Evaluate Distance Equation given Index Error?

FAQs on Distance Equation given Index Error

Variable Name

GoHorizontal Distance using Gradienter Formula