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Staff Intercept in Gradienter given Horizontal Distance Formula

GoStaff Intercept Formula

GoStaff Intercept in Gradienter given Vertical Distance Formula

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

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

s_i - Staff Intercept?D - Distance between Two Points?x - Vertical Angle?m - Revolution of Screw?c - Distance in One Turn?

Staff Intercept in Gradienter given Horizontal Distance Example

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Here is how the Staff Intercept in Gradienter given Horizontal Distance equation looks like with Values.

Here is how the Staff Intercept in Gradienter given Horizontal Distance equation looks like with Units.

Here is how the Staff Intercept in Gradienter given Horizontal Distance equation looks like.

9.6944 = \frac{35.5}{\frac{100 \cdot {\cos (20)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 20)}{3.1 \cdot 2.5}}

9.6944m = \frac{35.5m}{\frac{100 \cdot {\cos (20°)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 20°)}{3.1 \cdot 2.5m}}

9.6944 = \frac{35.5}{\frac{100 \cdot {\cos (20)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 20)}{3.1 \cdot 2.5}}

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Staff Intercept in Gradienter given Horizontal Distance Solution

Follow our step by step solution on how to calculate Staff Intercept in Gradienter given Horizontal Distance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

s i = \frac{35.5m}{\frac{100 \cdot {\cos (20°)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 20°)}{3.1 \cdot 2.5m}}

Next Step Convert Units

∴

s i = \frac{35.5m}{\frac{100 \cdot {\cos (0.3491rad)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 0.3491rad)}{3.1 \cdot 2.5m}}

Next Step Prepare to Evaluate

∴

s i = \frac{35.5}{\frac{100 \cdot {\cos (0.3491)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 0.3491)}{3.1 \cdot 2.5}}

Next Step Evaluate

∴

s i = 9.69439969719227m

LAST Step Rounding Answer

∴

s i = 9.6944m

Staff Intercept in Gradienter given Horizontal Distance Formula Elements

Variables

Functions

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

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

Vertical Angle

Vertical Angle is the angle between horizontal distance and slope distance.

Symbol: x

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Vertical Angle

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

Distance in One Turn

Distance in One Turn is the distance by which the line of sight moves by one revolution of the screw.

Symbol: c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance in One Turn

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Staff Intercept

Go Staff Intercept

s i = D \cdot (\tan (θ 1) - \tan (θ 2))

Go Staff Intercept in Gradienter given Vertical Distance

s i = \frac{V}{\frac{100 \cdot \sin (2 \cdot x) \cdot 0.5 \cdot {\sin (x)}^{2}}{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 Staff Intercept in Gradienter given Horizontal Distance?

Staff Intercept in Gradienter given Horizontal Distance evaluator uses Staff Intercept = Distance between Two Points/((100*cos(Vertical Angle)^2*0.5*sin(2*Vertical Angle))/(Revolution of Screw*Distance in One Turn)) to evaluate the Staff Intercept, The Staff Intercept in Gradienter given Horizontal Distance formula is defined as the difference between two points in vertical staff due to two vanes or hairs in the telescope. Staff Intercept is denoted by s_i symbol.

How to evaluate Staff Intercept in Gradienter given Horizontal Distance using this online evaluator? To use this online evaluator for Staff Intercept in Gradienter given Horizontal Distance, enter Distance between Two Points (D), Vertical Angle (x), Revolution of Screw (m) & Distance in One Turn (c) and hit the calculate button.

FAQs on Staff Intercept in Gradienter given Horizontal Distance

What is the formula to find Staff Intercept in Gradienter given Horizontal Distance?

The formula of Staff Intercept in Gradienter given Horizontal Distance is expressed as Staff Intercept = Distance between Two Points/((100*cos(Vertical Angle)^2*0.5*sin(2*Vertical Angle))/(Revolution of Screw*Distance in One Turn)). Here is an example- 9.6944 = 35.5/((100*cos(0.3490658503988)^2*0.5*sin(2*0.3490658503988))/(3.1*2.5)).

How to calculate Staff Intercept in Gradienter given Horizontal Distance?

With Distance between Two Points (D), Vertical Angle (x), Revolution of Screw (m) & Distance in One Turn (c) we can find Staff Intercept in Gradienter given Horizontal Distance using the formula - Staff Intercept = Distance between Two Points/((100*cos(Vertical Angle)^2*0.5*sin(2*Vertical Angle))/(Revolution of Screw*Distance in One Turn)). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Staff Intercept?

Here are the different ways to Calculate Staff Intercept-

Staff Intercept=Distance between Two Points*(tan(Vertical Angle to Upper Vane)-tan(Vertical Angle to Lower Vane))
Staff Intercept=Vertical Distance/((100*sin(2*Vertical Angle)*0.5*sin(Vertical Angle)^2)/(Revolution of Screw*Distance in One Turn))

Can the Staff Intercept in Gradienter given Horizontal Distance be negative?

Yes, the Staff Intercept in Gradienter given Horizontal Distance, measured in Length can be negative.

Which unit is used to measure Staff Intercept in Gradienter given Horizontal Distance?

Staff Intercept in Gradienter given Horizontal Distance is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Staff Intercept in Gradienter given Horizontal Distance can be measured.

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Staff Intercept in Gradienter given Horizontal Distance Formula

​GoStaff Intercept Formula

​GoStaff Intercept in Gradienter given Vertical Distance Formula

Staff Intercept in Gradienter given Horizontal Distance Example

Staff Intercept in Gradienter given Horizontal Distance Solution

Staff Intercept in Gradienter given Horizontal Distance Formula Elements

Other Formulas to find Staff Intercept

Other formulas in Stadia Surveying category

How to Evaluate Staff Intercept in Gradienter given Horizontal Distance?

FAQs on Staff Intercept in Gradienter given Horizontal Distance

Variable Name

GoStaff Intercept Formula

GoStaff Intercept in Gradienter given Vertical Distance Formula