Angle of Inclination of Free Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle of Inclination = arctan(Constant Horizontal Acceleration/[g])
θi = 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 formed by 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 acceleration in one direction.
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
θi = arctan(α/[g]) --> arctan(10/[g])
Evaluating ... ...
θi = 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 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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11 Liquid Containers Subjected To Constant Horizontal Acceleration Calculators

Width of Tank Perpendicular to Motion given Total Force Exerted at Any Section of Tank
Go Width of Section = 2*Force on Cylinder/(Specific Weight of Liquid*Height of Crack*Height of Crack)
Specific Weight of Liquid given Total Force exerted at any Section of Container
Go Specific Weight of Liquid = 2*Force on Cylinder/(Width of Section*Height of Crack*Height of Crack)
Vertical Depth below Free Surface given Total Force exerted at any Section of Container
Go Height of Crack = sqrt(2*Force on Cylinder/Specific Weight of Liquid*Width of Section)
Pressure at Any Points in Liquid
Go Absolute Pressure for Both Direction = Atmospheric Pressure+Specific Weight of Liquid*Height of Crack
Total Force Exerted at Any Section on Container
Go Force on Cylinder = 0.5*Specific Weight of Liquid*Width of Section*Height of Crack^2
Angle of Inclination of Free Surface
Go Angle of Inclination = arctan(Constant Horizontal Acceleration/[g])
Constant Horizontal Acceleration given Angle of Inclination of Free Surface
Go Constant Horizontal Acceleration = tan(Angle of Inclination)*[g]
Constant Horizontal Acceleration given Slope of Surface of Constant Pressure
Go Constant Horizontal Acceleration = Slope of Surface of Constant Pressure*[g]
Vertical Depth below Surface for Gauge Pressure at any point in Liquid
Go Height of Crack = Gauge Pressure for Horizontal/Specific Weight of Liquid
Specific Weight of liquid for Gauge Pressure at point in liquid
Go Specific Weight of Liquid = Gauge Pressure for Horizontal/Height of Crack
Gauge Pressure at Any Point in Liquid with Height
Go Gauge Pressure for Horizontal = Specific Weight of Liquid*Height of Crack

Angle of Inclination of Free Surface Formula

Angle of Inclination = arctan(Constant Horizontal Acceleration/[g])
θi = 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 is defined as angle made by fluid when it moves with acceleration a in horizontal direction. Angle of Inclination is denoted by θi 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 is defined as angle made by fluid when it moves with acceleration a in horizontal direction and is represented as θi = arctan(α/[g]) or Angle of Inclination = arctan(Constant Horizontal Acceleration/[g]). Constant Horizontal Acceleration is acceleration in one direction.
How to calculate Angle of Inclination of Free Surface?
The Angle of Inclination of Free Surface is defined as 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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