Effort Applied Parallel to Inclined Plane to Move Body Downward 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 Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction [μ]			+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 Parallel to Inclined Plane to Move Body Downward Considering Friction [P_d]

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Effort Applied Parallel to Inclined Plane to Move Body Downward 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)-Coefficient of Friction*cos(Angle of Inclination of Plane to Horizontal))
P_d = W*(sin(α_i)-μ*cos(α_i))
This formula uses 2 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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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.
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

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)
Coefficient of Friction: 0.333333 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_d = W*(sin(α_i)-μ*cos(α_i)) --> 120*(sin(0.40142572795862)-0.333333*cos(0.40142572795862))

Evaluating ... ...

P_d = 10.0675781007998

STEP 3: Convert Result to Output's Unit

10.0675781007998 Newton --> No Conversion Required

FINAL ANSWER

10.0675781007998 ≈ 10.06758 Newton <-- Effort to Move Downwards Considering Friction

(Calculation completed in 00.004 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 Parallel to Inclined Plane to Move Body Downward Considering Friction Formula

LaTeX Go

What will happen if the slope of inclined plane is too steep?

Inclined plane, simple machine consisting of a sloping surface, used for raising heavy bodies. The force required to move an object up the incline is less than the weight being raised, discounting friction. The steeper the slope, or incline, the more nearly the required force approaches the actual weight.

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

Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction calculator uses 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)) to calculate the Effort to Move Downwards Considering Friction, Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction formula is defined as the force required to move an object down an inclined plane, taking into account the effects of friction and the angle of inclination, providing a measure of the energy expended in overcoming these opposing forces. Effort to Move Downwards Considering Friction is denoted by P_d symbol.

How to calculate Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction using this online calculator? To use this online calculator for Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction, enter Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i) & Coefficient of Friction (μ) and hit the calculate button. Here is how the Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction calculation can be explained with given input values -> 2.703502 = 120*(sin(0.40142572795862)-0.333333*cos(0.40142572795862)).

FAQ

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

Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction formula is defined as the force required to move an object down an inclined plane, taking into account the effects of friction and the angle of inclination, providing a measure of the energy expended in overcoming these opposing forces and is represented as P_d = W*(sin(α_i)-μ*cos(α_i)) or 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)). 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 Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

How to calculate Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction?

Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction formula is defined as the force required to move an object down an inclined plane, taking into account the effects of friction and the angle of inclination, providing a measure of the energy expended in overcoming these opposing forces is calculated using 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)). To calculate Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction, you need Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i) & Coefficient of Friction (μ). With our tool, you need to enter the respective value for Weight of Body, Angle of Inclination of Plane to Horizontal & Coefficient of Friction 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 & Coefficient of Friction. 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*tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)
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))

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