Effort Required to Move Body up Plane Neglecting Friction Calculator

✖Weight of Body is the force acting on the object due to gravity.ⓘ Weight of Body [W]			+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 of Plane to Horizontal [α_i]			+10% -10%
✖Angle of Effort is the angle which the line of action of effort makes with the weight of the body W.ⓘ Angle of Effort [θ_e]			+10% -10%

✖Effort Required to Move Neglecting Friction is the force required to move the body up/down the plane neglecting friction.ⓘ Effort Required to Move Body up Plane Neglecting Friction [P₀]

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Effort Required to Move Body up Plane Neglecting Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effort Required to Move Neglecting Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal))/sin(Angle of Effort-Angle of Inclination of Plane to Horizontal)
P₀ = (W*sin(α_i))/sin(θ_e-α_i)
This formula uses 1 Functions, 4 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)

Variables Used

Effort Required to Move Neglecting Friction - (Measured in Newton) - Effort Required to Move Neglecting Friction is the force required to move the body up/down the plane neglecting friction.
Weight of Body - (Measured in Newton) - Weight of Body is the force acting on the object due to gravity.
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.
Angle of Effort - (Measured in Radian) - Angle of Effort is the angle which the line of action of effort makes with the weight of the body W.

STEP 1: Convert Input(s) to Base Unit

Weight of Body: 120 Newton --> 120 Newton No Conversion Required
Angle of Inclination of Plane to Horizontal: 23 Degree --> 0.40142572795862 Radian (Check conversion here)
Angle of Effort: 85 Degree --> 1.4835298641949 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P₀ = (W*sin(α_i))/sin(θ_e-α_i) --> (120*sin(0.40142572795862))/sin(1.4835298641949-0.40142572795862)

Evaluating ... ...

P₀ = 53.1036448798622

STEP 3: Convert Result to Output's Unit

53.1036448798622 Newton --> No Conversion Required

FINAL ANSWER

53.1036448798622 ≈ 53.10364 Newton <-- Effort Required to Move Neglecting Friction

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Angle Friction Calculators

Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Downward

LaTeX Go Efficiency of Inclined Plane = tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)/tan(Angle of Inclination of Plane to Horizontal)

Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Upward

LaTeX Go Efficiency of Inclined Plane = tan(Angle of Inclination of Plane to Horizontal)/tan(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)

Angle of Repose

LaTeX Go Angle of Repose = atan(Limiting Force/Normal Reaction)

Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping

LaTeX Go Coefficient of Friction = (tan(Angle of Inclination))/3

Effort Required to Move Body up Plane Neglecting Friction Formula

LaTeX Go

What are the forces acting on an inclined plane?

There are always at least two forces acting upon any object that is positioned on an inclined plane - the force of gravity and the normal force.

How to Calculate Effort Required to Move Body up Plane Neglecting Friction?

Effort Required to Move Body up Plane Neglecting Friction calculator uses Effort Required to Move Neglecting Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal))/sin(Angle of Effort-Angle of Inclination of Plane to Horizontal) to calculate the Effort Required to Move Neglecting Friction, Effort Required to Move Body up Plane Neglecting Friction formula is defined as the minimum force required to move an object up an inclined plane without considering the effects of friction, which depends on the weight of the object and the angle of inclination. Effort Required to Move Neglecting Friction is denoted by P₀ symbol.

How to calculate Effort Required to Move Body up Plane Neglecting Friction using this online calculator? To use this online calculator for Effort Required to Move Body up Plane Neglecting Friction, enter Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i) & Angle of Effort (θ_e) and hit the calculate button. Here is how the Effort Required to Move Body up Plane Neglecting Friction calculation can be explained with given input values -> 53.10364 = (120*sin(0.40142572795862))/sin(1.4835298641949-0.40142572795862).

FAQ

What is Effort Required to Move Body up Plane Neglecting Friction?

Effort Required to Move Body up Plane Neglecting Friction formula is defined as the minimum force required to move an object up an inclined plane without considering the effects of friction, which depends on the weight of the object and the angle of inclination and is represented as P₀ = (W*sin(α_i))/sin(θ_e-α_i) or Effort Required to Move Neglecting Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal))/sin(Angle of Effort-Angle of Inclination of Plane to Horizontal). Weight of Body is the force acting on the object due to gravity, Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another measured in degrees or radians & Angle of Effort is the angle which the line of action of effort makes with the weight of the body W.

How to calculate Effort Required to Move Body up Plane Neglecting Friction?

Effort Required to Move Body up Plane Neglecting Friction formula is defined as the minimum force required to move an object up an inclined plane without considering the effects of friction, which depends on the weight of the object and the angle of inclination is calculated using Effort Required to Move Neglecting Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal))/sin(Angle of Effort-Angle of Inclination of Plane to Horizontal). To calculate Effort Required to Move Body up Plane Neglecting Friction, you need Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i) & Angle of Effort (θ_e). With our tool, you need to enter the respective value for Weight of Body, Angle of Inclination of Plane to Horizontal & Angle of Effort and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Effort Required to Move Neglecting Friction?

In this formula, Effort Required to Move Neglecting Friction uses Weight of Body, Angle of Inclination of Plane to Horizontal & Angle of Effort. We can use 3 other way(s) to calculate the same, which is/are as follows -

Effort Required to Move Neglecting Friction = Weight of Body*sin(Angle of Inclination of Plane to Horizontal)
Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal)
Effort Required to Move Neglecting Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal))/sin(Angle of Effort-Angle of Inclination of Plane to Horizontal)

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