Effort Applied to Move Body Downward on Inclined Plane Considering 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%
✖The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).ⓘ Limiting Angle of Friction [Φ]			+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 to Move Downwards Considering Friction is the force applied in a given direction to cause the body to slide with uniform velocity parallel to the plane.ⓘ Effort Applied to Move Body Downward on Inclined Plane Considering Friction [P_d]

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Effort Applied to Move Body Downward on Inclined Plane Considering Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effort to Move Downwards Considering Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction))/sin(Angle of Effort-(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction))
P_d = (W*sin(α_i-Φ))/sin(θ_e-(α_i-Φ))
This formula uses 1 Functions, 5 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 to Move Downwards Considering Friction - (Measured in Newton) - Effort to Move Downwards Considering Friction is the force applied in a given direction to cause the body to slide with uniform velocity parallel to the plane.
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.
Limiting Angle of Friction - (Measured in Radian) - The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).
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)
Limiting Angle of Friction: 2 Degree --> 0.03490658503988 Radian (Check conversion here)
Angle of Effort: 85 Degree --> 1.4835298641949 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_d = (W*sin(α_i-Φ))/sin(θ_e-(α_i-Φ)) --> (120*sin(0.40142572795862-0.03490658503988))/sin(1.4835298641949-(0.40142572795862-0.03490658503988))

Evaluating ... ...

P_d = 47.8465051281822

STEP 3: Convert Result to Output's Unit

47.8465051281822 Newton --> No Conversion Required

FINAL ANSWER

47.8465051281822 ≈ 47.84651 Newton <-- Effort to Move Downwards Considering Friction

(Calculation completed in 00.007 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 to Move Body Downward on Inclined Plane Considering Friction Formula

LaTeX Go

Does an inclined plane change the direction of the force?

Inclined planes, also referred to as ramps, are a type of simple machine which manipulate the direction and magnitude of a force. Inclined planes, like all other simple machines, use mechanical advantage which is the ratio of the output force to the applied force.

How to Calculate Effort Applied to Move Body Downward on Inclined Plane Considering Friction?

Effort Applied to Move Body Downward on Inclined Plane Considering Friction calculator uses Effort to Move Downwards Considering Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction))/sin(Angle of Effort-(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)) to calculate the Effort to Move Downwards Considering Friction, Effort Applied to Move Body Downward on Inclined Plane Considering Friction formula is defined as the force required to move an object down an inclined plane, taking into account the effects of friction, which opposes the motion and depends on the angle of inclination and the coefficient of friction. Effort to Move Downwards Considering Friction is denoted by P_d symbol.

How to calculate Effort Applied to Move Body Downward on Inclined Plane Considering Friction using this online calculator? To use this online calculator for Effort Applied to Move Body Downward on Inclined Plane Considering Friction, enter Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i), Limiting Angle of Friction (Φ) & Angle of Effort (θ_e) and hit the calculate button. Here is how the Effort Applied to Move Body Downward on Inclined Plane Considering Friction calculation can be explained with given input values -> 47.84651 = (120*sin(0.40142572795862-0.03490658503988))/sin(1.4835298641949-(0.40142572795862-0.03490658503988)).

FAQ

What is Effort Applied to Move Body Downward on Inclined Plane Considering Friction?

Effort Applied to Move Body Downward on Inclined Plane Considering Friction formula is defined as the force required to move an object down an inclined plane, taking into account the effects of friction, which opposes the motion and depends on the angle of inclination and the coefficient of friction and is represented as P_d = (W*sin(α_i-Φ))/sin(θ_e-(α_i-Φ)) or Effort to Move Downwards Considering Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction))/sin(Angle of Effort-(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)). 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, The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN) & 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 Applied to Move Body Downward on Inclined Plane Considering Friction?

Effort Applied to Move Body Downward on Inclined Plane Considering Friction formula is defined as the force required to move an object down an inclined plane, taking into account the effects of friction, which opposes the motion and depends on the angle of inclination and the coefficient of friction is calculated using Effort to Move Downwards Considering Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction))/sin(Angle of Effort-(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)). To calculate Effort Applied to Move Body Downward on Inclined Plane Considering Friction, you need Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i), Limiting Angle of Friction (Φ) & 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, Limiting Angle of Friction & 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 to Move Downwards Considering Friction?

In this formula, Effort to Move Downwards Considering Friction uses Weight of Body, Angle of Inclination of Plane to Horizontal, Limiting Angle of Friction & Angle of Effort. We can use 2 other way(s) to calculate the same, which is/are as follows -

Effort to Move Downwards Considering Friction = Weight of Body*(sin(Angle of Inclination of Plane to Horizontal)-Coefficient of Friction*cos(Angle of Inclination of Plane to Horizontal))
Effort to Move Downwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)

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