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

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

LaTeX Go

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 formula is defined as the minimum force required to move an object up or down an inclined plane, without considering the effects of friction, which is essential in understanding the mechanical advantage of inclined planes in various applications. 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 formula is defined as the minimum force required to move an object up or down an inclined plane, without considering the effects of friction, which is essential in understanding the mechanical advantage of inclined planes in various applications 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 formula is defined as the minimum force required to move an object up or down an inclined plane, without considering the effects of friction, which is essential in understanding the mechanical advantage of inclined planes in various applications 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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