FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Angle of Inclination of Free Surface Formula

Fx Copy

LaTeX Copy

Angle of Inclination is refers to the inclination of one line to another measured in degrees or radians. Check FAQs

θ i = \arctan (\frac{α}{[g]})

θ_i - Angle of Inclination?α - Constant Horizontal Acceleration?[g] - Gravitational acceleration on Earth?

Angle of Inclination of Free Surface Example

With values

With units

Only example

Here is how the Angle of Inclination of Free Surface equation looks like with Values.

Here is how the Angle of Inclination of Free Surface equation looks like with Units.

Here is how the Angle of Inclination of Free Surface equation looks like.

45.5593 = \arctan (\frac{10}{9.8066})

45.5593° = \arctan (\frac{10m/s²}{9.8066m/s²})

45.5593 = \arctan (\frac{10}{9.8066})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Angle of Inclination of Free Surface

Angle of Inclination of Free Surface Solution

Follow our step by step solution on how to calculate Angle of Inclination of Free Surface?

FIRST Step Consider the formula

θ i = \arctan (\frac{α}{[g]})

Next Step Substitute values of Variables

∴

θ i = \arctan (\frac{10m/s²}{[g]})

Next Step Substitute values of Constants

∴

θ i = \arctan (\frac{10m/s²}{9.8066m/s²})

Next Step Prepare to Evaluate

∴

θ i = \arctan (\frac{10}{9.8066})

Next Step Evaluate

∴

θ i = 0.79515972623833rad

Next Step Convert to Output's Unit

∴

θ i = 45.5592963522428°

LAST Step Rounding Answer

∴

θ i = 45.5593°

Angle of Inclination of Free Surface Formula Elements

Variables

Constants

Functions

Angle of Inclination

Angle of Inclination is refers to the inclination of one line to another measured in degrees or radians.

Symbol: θ_i

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination

Constant Horizontal Acceleration

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

Symbol: α

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Constant Horizontal Acceleration

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: 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.

Syntax: 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).

Syntax: arctan(Number)

Other formulas in Liquid Containers Subjected To Constant Horizontal Acceleration category

Go Constant Horizontal Acceleration given Slope of Surface of Constant Pressure

α = f Abs \cdot [g] \cdot S

Go Constant Horizontal Acceleration given Angle of Inclination of Free Surface

α = \tan (θ i) \cdot [g]

Go Pressure at Any Points in Liquid

P ab,H = P atm + y \cdot h

Go Gauge Pressure at Any Point in Liquid with Height

P g,H = y \cdot h

How to Evaluate Angle of Inclination of Free Surface?

Angle of Inclination of Free Surface evaluator uses Angle of Inclination = arctan(Constant Horizontal Acceleration/[g]) to evaluate 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 evaluate Angle of Inclination of Free Surface using this online evaluator? To use this online evaluator for Angle of Inclination of Free Surface, enter Constant Horizontal Acceleration (α) and hit the calculate button.

FAQs on Angle of Inclination of Free Surface

What is the formula to find Angle of Inclination of Free Surface?

The formula of Angle of Inclination of Free Surface is expressed as Angle of Inclination = arctan(Constant Horizontal Acceleration/[g]). Here is an example- 2610.355 = arctan(10/[g]).

How to calculate Angle of Inclination of Free Surface?

With Constant Horizontal Acceleration (α) we can find Angle of Inclination of Free Surface using the formula - Angle of Inclination = arctan(Constant Horizontal Acceleration/[g]). This formula also uses Gravitational acceleration on Earth constant(s) and , Tangent (tan), Cotangent (ctan), Inverse Tangent (arctan) function(s).

Can the Angle of Inclination of Free Surface be negative?

Yes, the Angle of Inclination of Free Surface, measured in Angle can be negative.

Which unit is used to measure Angle of Inclination of Free Surface?

Angle of Inclination of Free Surface is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Inclination of Free Surface can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!