Vertical Distance between Instrument Axis and Lower Vane Calculator

✖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.ⓘ Distance between Two Points [D]			+10% -10%
✖Vertical angle to lower vane is the angle formed the instrument axis and the lower vane.ⓘ Vertical Angle to Lower Vane [θ₂]			+10% -10%

✖vertical Distance between center of transit and point on rod intersected by middle horizontal crosshair.ⓘ Vertical Distance between Instrument Axis and Lower Vane [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Photogrammetry Stadia and Compass Surveying Formulas PDF PDF Image

Vertical Distance between Instrument Axis and Lower Vane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vertical Distance = Distance between Two Points*tan(Vertical Angle to Lower Vane)
V = D*tan(θ₂)
This formula uses 1 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Vertical Distance - (Measured in Meter) - vertical Distance between center of transit and point on rod intersected by middle horizontal crosshair.
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.
Vertical Angle to Lower Vane - (Measured in Radian) - Vertical angle to lower vane is the angle formed the instrument axis and the lower vane.

STEP 1: Convert Input(s) to Base Unit

Distance between Two Points: 35.5 Meter --> 35.5 Meter No Conversion Required
Vertical Angle to Lower Vane: 19.5 Degree --> 0.34033920413883 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = D*tan(θ₂) --> 35.5*tan(0.34033920413883)

Evaluating ... ...

V = 12.5712093248372

STEP 3: Convert Result to Output's Unit

12.5712093248372 Meter --> No Conversion Required

FINAL ANSWER

12.5712093248372 ≈ 12.57121 Meter <-- Vertical Distance

(Calculation completed in 00.005 seconds)

You are here -

Home » Engineering » Civil » Surveying Formulas » Photogrammetry Stadia and Compass Surveying » Stadia Surveying » Vertical Distance between Instrument Axis and Lower Vane

Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Stadia Surveying Calculators

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

LaTeX Go Vertical Distance = 1/(2*((Stadia Factor*Rod Intercept*sin(2*Vertical Inclination of Line of Sight))+(Instrument Constant*sin(Vertical Inclination of Line of Sight))))

Horizontal Distance between Center of Transit and Rod

LaTeX Go Horizontal Distance = (Stadia Factor*Rod Intercept*(cos(Vertical Inclination of Line of Sight))^2)+(Instrument Constant*cos(Vertical Inclination of Line of Sight))

Stadia Distance from Instrument Spindle to Rod

LaTeX Go Stadia Distance = Intercept on Rod*((Focal Length of Telescope/Rod Intercept)+Stadia Constant)

Additive Constant or Stadia Constant

LaTeX Go Stadia Constant = (Focal Length of Telescope+Distance from Center)

Vertical Distance between Instrument Axis and Lower Vane Formula

LaTeX Go

Vertical Distance = Distance between Two Points*tan(Vertical Angle to Lower Vane)
V = D*tan(θ₂)

What is Tangential Method?

In this method, stadia hairs are not used to bisect the staff for observations. Two vanes at a constant distance apart are fixed on the staff. Each vane is bisected by the cross-hair and the staff reading and vertical angle corresponding to each vane are recorded. This method is preferred when the telescope is not equipped with a stadia diaphragm.

What is Gradienter?

It is mainly used in setting out gradients, but is also used in tacheometry. When the tangent screw actuating the vertical circle of a theodolite is provided with a micrometer head and a scale for counting the whole turns by which it has been turned, it is called gradienter. The pitch of the screw is kept such that when moved by one revolution, the line of sight moves by tan–1 0.01.

How to Calculate Vertical Distance between Instrument Axis and Lower Vane?

Vertical Distance between Instrument Axis and Lower Vane calculator uses Vertical Distance = Distance between Two Points*tan(Vertical Angle to Lower Vane) to calculate the Vertical Distance, The Vertical Distance between Instrument Axis and Lower Vane formula is defined as the vertical distance above the plane of the instrument axis to the lower vane of the telescope. The formula is used when the observing point is at the elevation and both the angle by vane is at a higher elevation. Vertical Distance is denoted by V symbol.

How to calculate Vertical Distance between Instrument Axis and Lower Vane using this online calculator? To use this online calculator for Vertical Distance between Instrument Axis and Lower Vane, enter Distance between Two Points (D) & Vertical Angle to Lower Vane (θ₂) and hit the calculate button. Here is how the Vertical Distance between Instrument Axis and Lower Vane calculation can be explained with given input values -> 12.57121 = 35.5*tan(0.34033920413883).

FAQ

What is Vertical Distance between Instrument Axis and Lower Vane?

The Vertical Distance between Instrument Axis and Lower Vane formula is defined as the vertical distance above the plane of the instrument axis to the lower vane of the telescope. The formula is used when the observing point is at the elevation and both the angle by vane is at a higher elevation and is represented as V = D*tan(θ₂) or Vertical Distance = Distance between Two Points*tan(Vertical Angle to Lower Vane). 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 & Vertical angle to lower vane is the angle formed the instrument axis and the lower vane.

How to calculate Vertical Distance between Instrument Axis and Lower Vane?

The Vertical Distance between Instrument Axis and Lower Vane formula is defined as the vertical distance above the plane of the instrument axis to the lower vane of the telescope. The formula is used when the observing point is at the elevation and both the angle by vane is at a higher elevation is calculated using Vertical Distance = Distance between Two Points*tan(Vertical Angle to Lower Vane). To calculate Vertical Distance between Instrument Axis and Lower Vane, you need Distance between Two Points (D) & Vertical Angle to Lower Vane (θ₂). With our tool, you need to enter the respective value for Distance between Two Points & Vertical Angle to Lower Vane 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 Vertical Distance?

In this formula, Vertical Distance uses Distance between Two Points & Vertical Angle to Lower Vane. We can use 2 other way(s) to calculate the same, which is/are as follows -

Vertical Distance = 1/(2*((Stadia Factor*Rod Intercept*sin(2*Vertical Inclination of Line of Sight))+(Instrument Constant*sin(Vertical Inclination of Line of Sight))))
Vertical Distance = Staff Intercept*(100*sin(2*Vertical Angle)*0.5*sin(Vertical Angle)^2)/(Revolution of Screw*Distance in One Turn)

Home

FREE PDFs

🔍 Search