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Direction of Resultant Force Formula

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Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. Check FAQs

θ = \frac{1}{\tan (\frac{P v}{dH})}

θ - Theta?P_v - Vertical Pressure 1?dH - Horizontal Pressure?

Direction of Resultant Force Example

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Here is how the Direction of Resultant Force equation looks like with Values.

Here is how the Direction of Resultant Force equation looks like with Units.

Here is how the Direction of Resultant Force equation looks like.

30.8072 = \frac{1}{\tan (\frac{44.3}{10.5})}

30.8072° = \frac{1}{\tan (\frac{44.3N/m²}{10.5N/m²})}

30.8072 = \frac{1}{\tan (\frac{44.3}{10.5})}

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Direction of Resultant Force Solution

Follow our step by step solution on how to calculate Direction of Resultant Force?

FIRST Step Consider the formula

θ = \frac{1}{\tan (\frac{P v}{dH})}

Next Step Substitute values of Variables

∴

θ = \frac{1}{\tan (\frac{44.3N/m²}{10.5N/m²})}

Next Step Convert Units

∴

θ = \frac{1}{\tan (\frac{44.3Pa}{10.5Pa})}

Next Step Prepare to Evaluate

∴

θ = \frac{1}{\tan (\frac{44.3}{10.5})}

Next Step Evaluate

∴

θ = 0.537687814066314rad

Next Step Convert to Output's Unit

∴

θ = 30.8072424416205°

LAST Step Rounding Answer

∴

θ = 30.8072°

Direction of Resultant Force Formula Elements

Variables

Functions

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

Vertical Pressure 1

Vertical Pressure 1 is the force acts perpendicular to the direction of the pressure gradient and is responsible for almost all kinds of atmospheric motion.

Symbol: P_v

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Vertical Pressure 1

Horizontal Pressure

horizontal pressure is the pressure applied in the horizontal direction due to backfill is called the horizontal pressure.

Symbol: dH

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Horizontal Pressure

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)

Other formulas in Total Pressure on Curved Surface category

Go Total Pressure on Elementary Area

p = S \cdot D \cdot A cs

Go Resultant Force by Parallelogram of Forces

P n = \sqrt{{dH}^{2} + {dv}^{2}}

Go Horizontal Pressure given Resultant Force

dH = \sqrt{{P n}^{2} - {dv}^{2}}

Go Vertical Pressure given Resultant Force

dv = \sqrt{{P n}^{2} - {dH}^{2}}

How to Evaluate Direction of Resultant Force?

Direction of Resultant Force evaluator uses Theta = 1/tan(Vertical Pressure 1/Horizontal Pressure) to evaluate the Theta, The Direction of Resultant Force is the measurement of angle made by the resultant force acting on the particular member. Theta is denoted by θ symbol.

How to evaluate Direction of Resultant Force using this online evaluator? To use this online evaluator for Direction of Resultant Force, enter Vertical Pressure 1 (P_v) & Horizontal Pressure (dH) and hit the calculate button.

FAQs on Direction of Resultant Force

What is the formula to find Direction of Resultant Force?

The formula of Direction of Resultant Force is expressed as Theta = 1/tan(Vertical Pressure 1/Horizontal Pressure). Here is an example- 1765.125 = 1/tan(44.3/10.5).

How to calculate Direction of Resultant Force?

With Vertical Pressure 1 (P_v) & Horizontal Pressure (dH) we can find Direction of Resultant Force using the formula - Theta = 1/tan(Vertical Pressure 1/Horizontal Pressure). This formula also uses Tangent (tan) function(s).

Can the Direction of Resultant Force be negative?

Yes, the Direction of Resultant Force, measured in Angle can be negative.

Which unit is used to measure Direction of Resultant Force?

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

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