Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination 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%

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

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Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal)
P₀ = W*tan(α_i)
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

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.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P₀ = W*tan(α_i) --> 120*tan(0.40142572795862)

Evaluating ... ...

P₀ = 50.9369779451418

STEP 3: Convert Result to Output's Unit

50.9369779451418 Newton --> No Conversion Required

FINAL ANSWER

50.9369779451418 ≈ 50.93698 Newton <-- Effort Required to Move Neglecting Friction

(Calculation completed in 00.020 seconds)

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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 Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction Formula

LaTeX Go

Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal)
P₀ = W*tan(α_i)

How do inclined planes make work easier?

Using an inclined plane makes it easier to move an object. It takes less force to move an object in an upward direction on an inclined plane than it does to lift the object straight up. The force needed when using this ramp is less because of the gentle slope, but the load must be moved a greater distance.

How to Calculate Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction?

Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction calculator uses Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal) to calculate the Effort Required to Move Neglecting Friction, Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction formula is defined as the minimum force required to move an object up an inclined plane, neglecting the effects of friction, which is essential in understanding the mechanics of inclined planes and their applications in real-world scenarios. Effort Required to Move Neglecting Friction is denoted by P₀ symbol.

How to calculate Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction using this online calculator? To use this online calculator for Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction, enter Weight of Body (W) & Angle of Inclination of Plane to Horizontal (α_i) and hit the calculate button. Here is how the Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction calculation can be explained with given input values -> 50.93698 = 120*tan(0.40142572795862).

FAQ

What is Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction?

Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction formula is defined as the minimum force required to move an object up an inclined plane, neglecting the effects of friction, which is essential in understanding the mechanics of inclined planes and their applications in real-world scenarios and is represented as P₀ = W*tan(α_i) or Effort Required to Move Neglecting Friction = Weight of Body*tan(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.

How to calculate Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction?

Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction formula is defined as the minimum force required to move an object up an inclined plane, neglecting the effects of friction, which is essential in understanding the mechanics of inclined planes and their applications in real-world scenarios is calculated using Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal). To calculate Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction, you need Weight of Body (W) & Angle of Inclination of Plane to Horizontal (α_i). With our tool, you need to enter the respective value for Weight of Body & Angle of Inclination of Plane to Horizontal 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. 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*sin(Angle of Inclination of Plane to Horizontal))/sin(Angle of Effort-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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