Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction Calculator

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Friction

Engineering Mechanics

General Principal to Dynamics

Properties of Planes and Solids

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✖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 Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction [P₀]

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Formula

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Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction

Formula

`"P"_{"0"} = "W"*sin("α"_{"i"})`

Example

`"46.88774N"="120N"*sin("23°")`

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Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward 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)
P₀ = W*sin(α_i)
This formula uses 1 Functions, 3 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.

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*sin(α_i) --> 120*sin(0.40142572795862)

Evaluating ... ...

P₀ = 46.8877354187045

STEP 3: Convert Result to Output's Unit

46.8877354187045 Newton --> No Conversion Required

FINAL ANSWER

46.8877354187045 ≈ 46.88774 Newton <-- Effort Required to Move Neglecting Friction

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 21 Angle Friction Calculators

Effort Applied to Move Body Downward on Inclined Plane Considering Friction

Go 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))

Effort Applied to Move Body Upward on Inclined Plane Considering Friction

Go Effort to Move Upwards 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))

Efficiency of Inclined Plane when Effort Applied to Move Body Downward

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

Efficiency of Inclined Plane when Effort Applied to Move Body Upward

Go Efficiency of Inclined Plane = (cot(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)-cot(Angle of Effort))/(cot(Angle of Inclination of Plane to Horizontal)-cot(Angle of Effort))

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

Go Efficiency of Inclined Plane = sin(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)/(sin(Angle of Inclination of Plane to Horizontal)*cos(Limiting Angle of Friction))

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

Go Efficiency of Inclined Plane = (sin(Angle of Inclination of Plane to Horizontal)*cos(Limiting Angle of Friction))/sin(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)

Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction

Go 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 Applied Parallel to Inclined Plane to Move Body Upward Considering Friction

Go Effort to Move Upwards 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 Required to Move Body down Plane Neglecting Friction

Go 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 Body up Plane Neglecting Friction

Go 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)

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

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

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)

Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction

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

Effort Applied Perpendicular to Inclined Plane to Move Body Upward Considering Friction

Go Effort to Move Upwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)

Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping

Go Force of Friction = (Mass of Cylinder*Acceleration due to Gravity*sin(Angle of Inclination))/3

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

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

Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction

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

Limiting Angle of Friction

Go Limiting Angle of Friction = atan(Limit Force/Normal Reaction)

Angle of Repose

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

Minimum Force Required to Slide Body on Rough Horizontal Plane

Go Minimum Effort = Weight of Body*sin(Angle of Effort)

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

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

Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction Formula

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

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 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 Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction?

Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction calculator uses Effort Required to Move Neglecting Friction = Weight of Body*sin(Angle of Inclination of Plane to Horizontal) to calculate the Effort Required to Move Neglecting Friction, Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction is the force required for upward/downward motion of body on inclined plane. Effort Required to Move Neglecting Friction is denoted by P₀ symbol.

How to calculate Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction using this online calculator? To use this online calculator for Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward 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 Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction calculation can be explained with given input values -> 46.88774 = 120*sin(0.40142572795862).

FAQ

What is Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction?

Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction is the force required for upward/downward motion of body on inclined plane and is represented as P₀ = W*sin(α_i) or Effort Required to Move Neglecting Friction = Weight of Body*sin(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 Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction?

Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction is the force required for upward/downward motion of body on inclined plane is calculated using Effort Required to Move Neglecting Friction = Weight of Body*sin(Angle of Inclination of Plane to Horizontal). To calculate Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward 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*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)
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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