Distance Equation given Index Error Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance between Two Points = (Multiplying Constant*Staff Intercept/(Revolution of Screw-Index Error))+Additive Constant
D = (KM*si/(m-e))+Cadd
This formula uses 6 Variables
Variables Used
Distance between Two Points - (Measured in Meter) - 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.
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.
Staff Intercept - (Measured in Meter) - Staff intercept is the difference in reading between top and bottom cross hairs.
Revolution of Screw - Revolution of screw is the number of revolutions made for the micrometer screw.
Index Error - Index error is the error formed during stadia survey.
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.
STEP 1: Convert Input(s) to Base Unit
Multiplying Constant: 12 --> No Conversion Required
Staff Intercept: 3 Meter --> 3 Meter No Conversion Required
Revolution of Screw: 3.1 --> No Conversion Required
Index Error: 1.5 --> No Conversion Required
Additive Constant: 13 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = (KM*si/(m-e))+Cadd --> (12*3/(3.1-1.5))+13
Evaluating ... ...
D = 35.5
STEP 3: Convert Result to Output's Unit
35.5 Meter --> No Conversion Required
FINAL ANSWER
35.5 Meter <-- Distance between Two Points
(Calculation completed in 00.004 seconds)

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Distance Equation given Index Error Formula

​LaTeX ​Go
Distance between Two Points = (Multiplying Constant*Staff Intercept/(Revolution of Screw-Index Error))+Additive Constant
D = (KM*si/(m-e))+Cadd

What are some common applications of Stadia Surveying?

Stadia Surveying is commonly used in civil engineering, construction, and land surveying to measure distances and heights in the field. It can be used to measure the height of buildings, the length of roads, or the slope of land.

How to Calculate Distance Equation given Index Error?

Distance Equation given Index Error calculator uses Distance between Two Points = (Multiplying Constant*Staff Intercept/(Revolution of Screw-Index Error))+Additive Constant to calculate 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 calculate Distance Equation given Index Error using this online calculator? To use this online calculator for Distance Equation given Index Error, enter Multiplying Constant (KM), Staff Intercept (si), Revolution of Screw (m), Index Error (e) & Additive Constant (Cadd) and hit the calculate button. Here is how the Distance Equation given Index Error calculation can be explained with given input values -> 35.5 = (12*3/(3.1-1.5))+13.

FAQ

What is Distance Equation given Index Error?
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 and is represented as D = (KM*si/(m-e))+Cadd or Distance between Two Points = (Multiplying Constant*Staff Intercept/(Revolution of Screw-Index Error))+Additive 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, Staff intercept is the difference in reading between top and bottom cross hairs, Revolution of screw is the number of revolutions made for the micrometer screw, Index error is the error formed during stadia survey & 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.
How to calculate Distance Equation given Index Error?
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 is calculated using Distance between Two Points = (Multiplying Constant*Staff Intercept/(Revolution of Screw-Index Error))+Additive Constant. To calculate Distance Equation given Index Error, you need Multiplying Constant (KM), Staff Intercept (si), Revolution of Screw (m), Index Error (e) & Additive Constant (Cadd). With our tool, you need to enter the respective value for Multiplying Constant, Staff Intercept, Revolution of Screw, Index Error & Additive Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Distance between Two Points?
In this formula, Distance between Two Points uses Multiplying Constant, Staff Intercept, Revolution of Screw, Index Error & Additive Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Distance between Two Points = Staff Intercept*(100*cos(Vertical Angle)^2*0.5*sin(2*Vertical Angle))/(Revolution of Screw*Distance in One Turn)
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