Formula 2 - Angles and Velocities

In this template, you will be able to use the second relationship of Snell's Law to determine the parameters stated below. 
Formula:﻿
sin(θ1)sin(θ2) = v1v2\cfrac{sin(\theta_{1})}{sin(\theta_{2})}\ =\ \cfrac{v_{1}}{v_{2}}sin(θ2​)sin(θ1​)​ = v2​v1​​
CalculatorsAngle of Refraction (given the velocities)
Enter the velocity through medium 1 and the velocity through medium 2 to find the angle of refraction.
Formula: ﻿θ2​=sin−1(v1​v2​sin(θ1​)​)
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Input:
Velocity of the wave in m/s in medium 1, ﻿v1
:100m/s​
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Velocity of the wave in m/s in medium 2,﻿v2
:133m/s​
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Angle of Incidence in degrees ﻿θ1​
 or  ﻿AOI
:20deg​
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Output:
Using the formula denoted above, we can substitute the inputs to get:
Angle of Refraction in degrees ﻿θ2​
 or ﻿AOR
:27.06deg​
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Angle of Incidence (given the velocities)
Velocity of wave in Medium 1 (given the angles)
Velocity of wave in Medium 2 (given the angles)
Critical Angle (using the velocities)
Refractive Indices of the mediums and wavelength of the waves in each medium (given the velocities)
Related ResourcesThe values required from your end depend on the calculator you use, but all calculators revolve around the following parameters: ﻿θ1​, θ2​, v1​, v2​
. If another type of variable is provided, look at our other calculators:
﻿﻿θ1​,θ2​,n1​,n2​
 - Formula 1 Calculator
﻿﻿θ1​,θ2​,λ1​,λ2​
 - Formula 3 Calculator
If unsure of which calculator use refer to the main page for reference: Snell's Law Calculators
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