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Staff Intercept in Gradienter given Vertical Distance Formula

GoStaff Intercept Formula

GoStaff Intercept in Gradienter given Horizontal Distance Formula

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

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

s_i - Staff Intercept?V - Vertical Distance?x - Vertical Angle?m - Revolution of Screw?c - Distance in One Turn?

Staff Intercept in Gradienter given Vertical Distance Example

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

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

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

8.2456 = \frac{4}{\frac{100 \cdot \sin (2 \cdot 20) \cdot 0.5 \cdot {\sin (20)}^{2}}{3.1 \cdot 2.5}}

8.2456m = \frac{4m}{\frac{100 \cdot \sin (2 \cdot 20°) \cdot 0.5 \cdot {\sin (20°)}^{2}}{3.1 \cdot 2.5m}}

8.2456 = \frac{4}{\frac{100 \cdot \sin (2 \cdot 20) \cdot 0.5 \cdot {\sin (20)}^{2}}{3.1 \cdot 2.5}}

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Staff Intercept in Gradienter given Vertical Distance Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

s i = \frac{4m}{\frac{100 \cdot \sin (2 \cdot 20°) \cdot 0.5 \cdot {\sin (20°)}^{2}}{3.1 \cdot 2.5m}}

Next Step Convert Units

∴

s i = \frac{4m}{\frac{100 \cdot \sin (2 \cdot 0.3491rad) \cdot 0.5 \cdot {\sin (0.3491rad)}^{2}}{3.1 \cdot 2.5m}}

Next Step Prepare to Evaluate

∴

s i = \frac{4}{\frac{100 \cdot \sin (2 \cdot 0.3491) \cdot 0.5 \cdot {\sin (0.3491)}^{2}}{3.1 \cdot 2.5}}

Next Step Evaluate

∴

s i = 8.24557266784202m

LAST Step Rounding Answer

∴

s i = 8.2456m

Staff Intercept in Gradienter given Vertical 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

Vertical Distance

vertical Distance between center of transit and point on rod intersected by middle horizontal crosshair.

Symbol: V

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Vertical Distance

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)

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 Horizontal Distance

s i = \frac{D}{\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 Staff Intercept in Gradienter given Vertical Distance?

Staff Intercept in Gradienter given Vertical Distance evaluator uses Staff Intercept = Vertical Distance/((100*sin(2*Vertical Angle)*0.5*sin(Vertical Angle)^2)/(Revolution of Screw*Distance in One Turn)) to evaluate the Staff Intercept, The Staff Intercept in Gradienter given Vertical Distance formula is defined as the difference between two points in staff due to upper and lower crosshair or vane in a telescope. Staff Intercept is denoted by s_i symbol.

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

FAQs on Staff Intercept in Gradienter given Vertical Distance

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

The formula of Staff Intercept in Gradienter given Vertical Distance is expressed as Staff Intercept = Vertical Distance/((100*sin(2*Vertical Angle)*0.5*sin(Vertical Angle)^2)/(Revolution of Screw*Distance in One Turn)). Here is an example- 8.245573 = 4/((100*sin(2*0.3490658503988)*0.5*sin(0.3490658503988)^2)/(3.1*2.5)).

How to calculate Staff Intercept in Gradienter given Vertical Distance?

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

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

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

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

Staff Intercept in Gradienter given Vertical 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 Vertical Distance can be measured.

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Staff Intercept in Gradienter given Vertical Distance Formula

​GoStaff Intercept Formula

​GoStaff Intercept in Gradienter given Horizontal Distance Formula

Staff Intercept in Gradienter given Vertical Distance Example

Staff Intercept in Gradienter given Vertical Distance Solution

Staff Intercept in Gradienter given Vertical Distance Formula Elements

Other Formulas to find Staff Intercept

Other formulas in Stadia Surveying category

How to Evaluate Staff Intercept in Gradienter given Vertical Distance?

FAQs on Staff Intercept in Gradienter given Vertical Distance

Variable Name

GoStaff Intercept Formula

GoStaff Intercept in Gradienter given Horizontal Distance Formula