Angle of Inclination of Free Surface Calculator

✖Constant Horizontal Acceleration is refers to a situation in which an object experiences a continuous, unchanging acceleration along a horizontal plane.ⓘ Constant Horizontal Acceleration [α]

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✖Angle of Inclination is refers to the inclination of one line to another measured in degrees or radians.ⓘ Angle of Inclination of Free Surface [θ_i]

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Angle of Inclination of Free Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Inclination = arctan(Constant Horizontal Acceleration/[g])
θ_i = arctan(α/[g])
This formula uses 1 Constants, 3 Functions, 2 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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)
ctan - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., ctan(Angle)
arctan - Inverse trigonometric functions are usually accompanied by the prefix - arc. Mathematically, we represent arctan or the inverse tangent function as tan-1 x or arctan(x)., arctan(Number)

Variables Used

Angle of Inclination - (Measured in Radian) - Angle of Inclination is refers to the inclination of one line to another measured in degrees or radians.
Constant Horizontal Acceleration - (Measured in Meter per Square Second) - Constant Horizontal Acceleration is refers to a situation in which an object experiences a continuous, unchanging acceleration along a horizontal plane.

STEP 1: Convert Input(s) to Base Unit

Constant Horizontal Acceleration: 10 Meter per Square Second --> 10 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_i = arctan(α/[g]) --> arctan(10/[g])

Evaluating ... ...

θ_i = 0.79515972623833

STEP 3: Convert Result to Output's Unit

0.79515972623833 Radian -->45.5592963522428 Degree (Check conversion here)

FINAL ANSWER

45.5592963522428 ≈ 45.5593 Degree <-- Angle of Inclination

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Coorg Institute of Technology (CIT), Coorg

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< Liquid Containers Subjected To Constant Horizontal Acceleration Calculators

Pressure at Any Points in Liquid

LaTeX Go Absolute Pressure for Both Direction = Atmospheric Pressure+Specific Weight of Liquid*Height of Crack

Constant Horizontal Acceleration given Slope of Surface of Constant Pressure

LaTeX Go Constant Horizontal Acceleration = Absolute Frequency*[g]*Slope of Surface of Constant Pressure

Angle of Inclination of Free Surface

LaTeX Go Angle of Inclination = arctan(Constant Horizontal Acceleration/[g])

Constant Horizontal Acceleration given Angle of Inclination of Free Surface

LaTeX Go Constant Horizontal Acceleration = tan(Angle of Inclination)*[g]

Angle of Inclination of Free Surface Formula

LaTeX Go

Angle of Inclination = arctan(Constant Horizontal Acceleration/[g])
θ_i = arctan(α/[g])

What is Free Surface?

A Free Surface is the surface of a fluid that is subject to zero parallel shear stress, such as the interface between two homogeneous fluids, for example liquid water and the air in the Earth's atmosphere

How to Calculate Angle of Inclination of Free Surface?

Angle of Inclination of Free Surface calculator uses Angle of Inclination = arctan(Constant Horizontal Acceleration/[g]) to calculate the Angle of Inclination, The Angle of Inclination of Free Surface formula is defined as the angle made by fluid when it moves with acceleration a in horizontal direction. Angle of Inclination is denoted by θ_i symbol.

How to calculate Angle of Inclination of Free Surface using this online calculator? To use this online calculator for Angle of Inclination of Free Surface, enter Constant Horizontal Acceleration (α) and hit the calculate button. Here is how the Angle of Inclination of Free Surface calculation can be explained with given input values -> 2610.355 = arctan(10/[g]).

FAQ

What is Angle of Inclination of Free Surface?

The Angle of Inclination of Free Surface formula is defined as the angle made by fluid when it moves with acceleration a in horizontal direction and is represented as θ_i = arctan(α/[g]) or Angle of Inclination = arctan(Constant Horizontal Acceleration/[g]). Constant Horizontal Acceleration is refers to a situation in which an object experiences a continuous, unchanging acceleration along a horizontal plane.

How to calculate Angle of Inclination of Free Surface?

The Angle of Inclination of Free Surface formula is defined as the angle made by fluid when it moves with acceleration a in horizontal direction is calculated using Angle of Inclination = arctan(Constant Horizontal Acceleration/[g]). To calculate Angle of Inclination of Free Surface, you need Constant Horizontal Acceleration (α). With our tool, you need to enter the respective value for Constant Horizontal Acceleration 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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