Angle of Inclination given drag force Calculator

✖Drag Force is the resisting force experienced by an object moving through a fluid.ⓘ Drag Force [F_D]			+10% -10%
✖Unit Weight of Water is the ratio of total weight to the total volume of water.ⓘ Unit Weight of Water [γ_w]			+10% -10%
✖Specific gravity of sediment is the ratio of density of sediment to density of standard substance.ⓘ Specific gravity of sediment [G]			+10% -10%
✖Rugosity coefficient depend upon the type of channel surface.ⓘ Rugosity coefficient [n]			+10% -10%
✖Thickness is the distance through an object.ⓘ Thickness [t]			+10% -10%

✖Angle of inclination of plane to horizontal is formed by the inclination of one plane to another; measured in degrees or radians.ⓘ Angle of Inclination given drag force [α_inclination]

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Formula

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Angle of Inclination given drag force

Formula

`"α"_{"inclination"} = arsin("F"_{"D"}/("γ"_{"w"}*("G"-1)*(1-"n")*"t"))`

Example

`"1.317781°"=arsin("80N"/("9810N/m³"*("1.3"-1)*(1-"0.015")*"1.2m"))`

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Angle of Inclination given drag force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of inclination of plane to horizontal = arsin(Drag Force/(Unit Weight of Water*(Specific gravity of sediment-1)*(1-Rugosity coefficient)*Thickness))
α_inclination = arsin(F_D/(γ_w*(G-1)*(1-n)*t))
This formula uses 2 Functions, 6 Variables

Functions Used

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., sin(Angle)
arsin - Arcsine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., arsin(Number)

Variables Used

Angle of inclination of plane to horizontal - (Measured in Radian) - Angle of inclination of plane to horizontal is formed by the inclination of one plane to another; measured in degrees or radians.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is the ratio of total weight to the total volume of water.
Specific gravity of sediment - Specific gravity of sediment is the ratio of density of sediment to density of standard substance.
Rugosity coefficient - Rugosity coefficient depend upon the type of channel surface.
Thickness - (Measured in Meter) - Thickness is the distance through an object.

STEP 1: Convert Input(s) to Base Unit

Drag Force: 80 Newton --> 80 Newton No Conversion Required
Unit Weight of Water: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required
Specific gravity of sediment: 1.3 --> No Conversion Required
Rugosity coefficient: 0.015 --> No Conversion Required
Thickness: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_inclination = arsin(F_D/(γ_w*(G-1)*(1-n)*t)) --> arsin(80/(9810*(1.3-1)*(1-0.015)*1.2))

Evaluating ... ...

α_inclination = 0.022999613505904

STEP 3: Convert Result to Output's Unit

0.022999613505904 Radian -->1.31778078432063 Degree (Check conversion here)

FINAL ANSWER

1.31778078432063 ≈ 1.317781 Degree <-- Angle of inclination of plane to horizontal

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 7 Drag Force Calculators

Thickness of Sediment given Drag Force

Go Thickness = (Drag Force/(Unit Weight of Liquid*(Specific gravity of sediment-1)*(1-Rugosity coefficient)*sin(Angle of inclination of plane to horizontal)))

Unit Weight of Water given Drag Force

Go Unit Weight of Liquid = (Drag Force/((Specific gravity of sediment-1)*(1-Rugosity coefficient)*Thickness*sin(Angle of inclination of plane to horizontal)))

Angle of Inclination given drag force

Go Angle of inclination of plane to horizontal = arsin(Drag Force/(Unit Weight of Water*(Specific gravity of sediment-1)*(1-Rugosity coefficient)*Thickness))

Rugosity Coefficient given Drag Force

Go Rugosity coefficient = 1-(Drag Force/(Unit Weight of Liquid*(Specific gravity of sediment-1)*Thickness*sin(Angle of inclination of plane to horizontal)))

Drag Force Exerted by Flowing Water

Go Drag Force = Unit Weight of Liquid*(Specific gravity of sediment-1)*(1-Rugosity coefficient)*Thickness*sin(Angle of inclination of plane to horizontal)

Bed Slope of Channel given Drag Force

Go Bed Slope = Drag Force/(Unit Weight of Liquid*Hydraulic mean depth)

Drag Force or Intensity of Tractive force

Go Drag Force = Unit Weight of Liquid*Hydraulic mean depth*Bed Slope

Angle of Inclination given drag force Formula

What is angle of inclination ?

The angle inclination of a line is the angle formed by the intersection of the line and the x-axis. Using a horizontal "run" of 1 and m for slope, the angle of inclination.If the angle of inclination is negative, then the slope of the line is also negative.

How to Calculate Angle of Inclination given drag force?

Angle of Inclination given drag force calculator uses Angle of inclination of plane to horizontal = arsin(Drag Force/(Unit Weight of Water*(Specific gravity of sediment-1)*(1-Rugosity coefficient)*Thickness)) to calculate the Angle of inclination of plane to horizontal, The angle of Inclination given drag force is the angle formed by the intersection of the line and the x-axis. Angle of inclination of plane to horizontal is denoted by α_inclination symbol.

How to calculate Angle of Inclination given drag force using this online calculator? To use this online calculator for Angle of Inclination given drag force, enter Drag Force (F_D), Unit Weight of Water (γ_w), Specific gravity of sediment (G), Rugosity coefficient (n) & Thickness (t) and hit the calculate button. Here is how the Angle of Inclination given drag force calculation can be explained with given input values -> 75.50328 = arsin(80/(9810*(1.3-1)*(1-0.015)*1.2)).

FAQ

What is Angle of Inclination given drag force?

The angle of Inclination given drag force is the angle formed by the intersection of the line and the x-axis and is represented as α_inclination = arsin(F_D/(γ_w*(G-1)*(1-n)*t)) or Angle of inclination of plane to horizontal = arsin(Drag Force/(Unit Weight of Water*(Specific gravity of sediment-1)*(1-Rugosity coefficient)*Thickness)). Drag Force is the resisting force experienced by an object moving through a fluid, Unit Weight of Water is the ratio of total weight to the total volume of water, Specific gravity of sediment is the ratio of density of sediment to density of standard substance, Rugosity coefficient depend upon the type of channel surface & Thickness is the distance through an object.

How to calculate Angle of Inclination given drag force?

The angle of Inclination given drag force is the angle formed by the intersection of the line and the x-axis is calculated using Angle of inclination of plane to horizontal = arsin(Drag Force/(Unit Weight of Water*(Specific gravity of sediment-1)*(1-Rugosity coefficient)*Thickness)). To calculate Angle of Inclination given drag force, you need Drag Force (F_D), Unit Weight of Water (γ_w), Specific gravity of sediment (G), Rugosity coefficient (n) & Thickness (t). With our tool, you need to enter the respective value for Drag Force, Unit Weight of Water, Specific gravity of sediment, Rugosity coefficient & Thickness 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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