Direction of Resultant Force Calculator

✖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.ⓘ Vertical Pressure 1 [P_v]			+10% -10%
✖horizontal pressure is the pressure applied in the horizontal direction due to backfill is called the horizontal pressure.ⓘ Horizontal Pressure [dH]			+10% -10%

✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Direction of Resultant Force [θ]

⎘ Copy

👎

Formula

✖

Direction of Resultant Force

Formula

`"θ" = 1/tan("P"_{"v"}/"dH")`

Example

`"30.80724°"=1/tan("44.3N/m²"/"10.5N/m²")`

Calculator

LaTeX

Reset

👍

Download Hydrostatic Forces on Surfaces Formulas PDF PDF Image

Direction of Resultant Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theta = 1/tan(Vertical Pressure 1/Horizontal Pressure)
θ = 1/tan(P_v/dH)
This formula uses 1 Functions, 3 Variables

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)

Variables Used

Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Vertical Pressure 1 - (Measured in Pascal) - 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.
Horizontal Pressure - (Measured in Pascal) - horizontal pressure is the pressure applied in the horizontal direction due to backfill is called the horizontal pressure.

STEP 1: Convert Input(s) to Base Unit

Vertical Pressure 1: 44.3 Newton per Square Meter --> 44.3 Pascal (Check conversion here)
Horizontal Pressure: 10.5 Newton per Square Meter --> 10.5 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = 1/tan(P_v/dH) --> 1/tan(44.3/10.5)

Evaluating ... ...

θ = 0.537687814066314

STEP 3: Convert Result to Output's Unit

0.537687814066314 Radian -->30.8072424416205 Degree (Check conversion here)

FINAL ANSWER

30.8072424416205 ≈ 30.80724 Degree <-- Theta

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Hydrostatic Forces on Surfaces » Total Pressure on Curved Surface » Direction of Resultant Force

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has verified this Calculator and 400+ more calculators!

< 7 Total Pressure on Curved Surface Calculators

Total Pressure on Elementary Area

Go Pressure = Specific Weight of Liquid in Piezometer*Vertical Depth*Cross-Sectional Area

Resultant Force by Parallelogram of Forces

Go Resultant Force = sqrt(Horizontal Pressure^2+Vertical Pressure^2)

Horizontal Pressure given Resultant Force

Go Horizontal Pressure = sqrt(Resultant Force^2-Vertical Pressure^2)

Vertical Pressure given Resultant Force

Go Vertical Pressure = sqrt(Resultant Force^2-Horizontal Pressure^2)

Direction of Resultant Force

Go Theta = 1/tan(Vertical Pressure 1/Horizontal Pressure)

Vertical Pressure given Direction of Resultant Force

Go Vertical Pressure = tan(Theta)*Horizontal Pressure

Horizontal Force given Direction of Resultant Force

Go Horizontal Pressure = Vertical Pressure/tan(Theta)

Direction of Resultant Force Formula

Theta = 1/tan(Vertical Pressure 1/Horizontal Pressure)
θ = 1/tan(P_v/dH)

What is meant by Horizontal Pressure?

Horizontal Pressure is the pressure acting on a perticular member in a horizontal direction due to backfill.

How to Calculate Direction of Resultant Force?

Direction of Resultant Force calculator uses Theta = 1/tan(Vertical Pressure 1/Horizontal Pressure) to calculate 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 calculate Direction of Resultant Force using this online calculator? To use this online calculator for Direction of Resultant Force, enter Vertical Pressure 1 (P_v) & Horizontal Pressure (dH) and hit the calculate button. Here is how the Direction of Resultant Force calculation can be explained with given input values -> 1765.125 = 1/tan(44.3/10.5).

FAQ

What is Direction of Resultant Force?

The Direction of Resultant Force is the measurement of angle made by the resultant force acting on the particular member and is represented as θ = 1/tan(P_v/dH) or Theta = 1/tan(Vertical Pressure 1/Horizontal Pressure). 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 & horizontal pressure is the pressure applied in the horizontal direction due to backfill is called the horizontal pressure.

How to calculate Direction of Resultant Force?

The Direction of Resultant Force is the measurement of angle made by the resultant force acting on the particular member is calculated using Theta = 1/tan(Vertical Pressure 1/Horizontal Pressure). To calculate Direction of Resultant Force, you need Vertical Pressure 1 (P_v) & Horizontal Pressure (dH). With our tool, you need to enter the respective value for Vertical Pressure 1 & Horizontal Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search