Angle of Incidence for given Vertical displacement Calculator

✖Vertical Displacement of Refracted Ray is the vertical distance of the refracted position of the ray from the unrefracted position of the ray on the staff in a parallel plate micrometer.ⓘ Vertical Displacement of Refracted Ray [V_d]			+10% -10%
✖Plate Thickness is the distance through the bearing plate.ⓘ Plate Thickness [p_t]			+10% -10%
✖Refractive Index is a measure of how much a material can bend or slow down light passing through it compared to the speed of light in a vacuum.ⓘ Refractive Index [RI]			+10% -10%

✖Angle Of Incidence in degree is the angle which an incident line or ray makes with a perpendicular to the surface at the point of incidence.ⓘ Angle of Incidence for given Vertical displacement [i_angle]

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Formula

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Angle of Incidence for given Vertical displacement

Formula

`"i"_{"angle"} = ("V"_{"d"}/("p"_{"t"}*(1-(1/"RI"))))*(180/pi)`

Example

`"27.52262"=("12mm"/("100mm"*(1-(1/"1.333"))))*(180/pi)`

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Angle of Incidence for given Vertical displacement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle Of Incidence in degree = (Vertical Displacement of Refracted Ray/(Plate Thickness*(1-(1/Refractive Index))))*(180/pi)
i_angle = (V_d/(p_t*(1-(1/RI))))*(180/pi)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Angle Of Incidence in degree - Angle Of Incidence in degree is the angle which an incident line or ray makes with a perpendicular to the surface at the point of incidence.
Vertical Displacement of Refracted Ray - (Measured in Meter) - Vertical Displacement of Refracted Ray is the vertical distance of the refracted position of the ray from the unrefracted position of the ray on the staff in a parallel plate micrometer.
Plate Thickness - (Measured in Meter) - Plate Thickness is the distance through the bearing plate.
Refractive Index - Refractive Index is a measure of how much a material can bend or slow down light passing through it compared to the speed of light in a vacuum.

STEP 1: Convert Input(s) to Base Unit

Vertical Displacement of Refracted Ray: 12 Millimeter --> 0.012 Meter (Check conversion here)
Plate Thickness: 100 Millimeter --> 0.1 Meter (Check conversion here)
Refractive Index: 1.333 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_angle = (V_d/(p_t*(1-(1/RI))))*(180/pi) --> (0.012/(0.1*(1-(1/1.333))))*(180/pi)

Evaluating ... ...

i_angle = 27.522621294032

STEP 3: Convert Result to Output's Unit

27.522621294032 --> No Conversion Required

FINAL ANSWER

27.522621294032 ≈ 27.52262 <-- Angle Of Incidence in degree

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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National Institute Of Technology (NIT), Hamirpur

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< 4 Tilting level Calculators

Angle of Incidence for given Vertical displacement

Go Angle Of Incidence in degree = (Vertical Displacement of Refracted Ray/(Plate Thickness*(1-(1/Refractive Index))))*(180/pi)

Refractive Index given Vertical Displacement

Go Refractive Index = 1/(1-(Vertical Displacement of Refracted Ray)/(Angle Of Incidence in degree*(pi/180)*Plate Thickness))

Vertical Displacement for Small Angles

Go Vertical Displacement of Refracted Ray = Plate Thickness*(1-1/Refractive Index)*(Angle Of Incidence in degree*pi/180)

Refractive Index

Go Refractive Index = sin(Angle Of Incidence in degree)/sin(Angle of Refraction)

Angle of Incidence for given Vertical displacement Formula

Angle Of Incidence in degree = (Vertical Displacement of Refracted Ray/(Plate Thickness*(1-(1/Refractive Index))))*(180/pi)
i_angle = (V_d/(p_t*(1-(1/RI))))*(180/pi)

What are the various types of Levels used for Surveying?

1. Dumpy level: This is the most widely used direct levelling instrument.
2. Wye-level: This is similar to the dumpy level except that the telescope in this is supported by two Y-shaped uprights fixed to a horizontal bar and attached to the vertical spindle about which the instrument rotates.
3. Cooke’s reversible level: It combines the good features of both the dumpy and wye-levels. It may be rotated about its line of sight giving a bubble left and bubble right reading.
4. Cushing’s level: In Cushing’s level, the telescope can neither be revolved about its longitudinal axis nor can it be removed from its socket.
5. Automatic level: It is similar to the dumpy level with its telescope fixed to the tribrach. For approximate levelling, a circular spirit bubble is attached to the side of the telescope.
6. Tilting level: In this type of level the telescope can be rotated about a horizontal axis. It enables the surveyor to quickly centre the bubble and thus bring the line of sight into the horizontal plane.

How to Calculate Angle of Incidence for given Vertical displacement?

Angle of Incidence for given Vertical displacement calculator uses Angle Of Incidence in degree = (Vertical Displacement of Refracted Ray/(Plate Thickness*(1-(1/Refractive Index))))*(180/pi) to calculate the Angle Of Incidence in degree, The Angle of Incidence for given Vertical displacement is the angle made by the rays and the normal. Angle Of Incidence in degree is denoted by i_angle symbol.

How to calculate Angle of Incidence for given Vertical displacement using this online calculator? To use this online calculator for Angle of Incidence for given Vertical displacement, enter Vertical Displacement of Refracted Ray (V_d), Plate Thickness (p_t) & Refractive Index (RI) and hit the calculate button. Here is how the Angle of Incidence for given Vertical displacement calculation can be explained with given input values -> 27.52262 = (0.012/(0.1*(1-(1/1.333))))*(180/pi).

FAQ

What is Angle of Incidence for given Vertical displacement?

The Angle of Incidence for given Vertical displacement is the angle made by the rays and the normal and is represented as i_angle = (V_d/(p_t*(1-(1/RI))))*(180/pi) or Angle Of Incidence in degree = (Vertical Displacement of Refracted Ray/(Plate Thickness*(1-(1/Refractive Index))))*(180/pi). Vertical Displacement of Refracted Ray is the vertical distance of the refracted position of the ray from the unrefracted position of the ray on the staff in a parallel plate micrometer, Plate Thickness is the distance through the bearing plate & Refractive Index is a measure of how much a material can bend or slow down light passing through it compared to the speed of light in a vacuum.

How to calculate Angle of Incidence for given Vertical displacement?

The Angle of Incidence for given Vertical displacement is the angle made by the rays and the normal is calculated using Angle Of Incidence in degree = (Vertical Displacement of Refracted Ray/(Plate Thickness*(1-(1/Refractive Index))))*(180/pi). To calculate Angle of Incidence for given Vertical displacement, you need Vertical Displacement of Refracted Ray (V_d), Plate Thickness (p_t) & Refractive Index (RI). With our tool, you need to enter the respective value for Vertical Displacement of Refracted Ray, Plate Thickness & Refractive Index and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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