Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Pup = W*(sin(αi)+μ*cos(αi))
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 Upwards Considering Friction - (Measured in Newton) - Effort to Move Upwards 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: 0.33 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pup = W*(sin(αi)+μ*cos(αi)) --> 120*(sin(0.40142572795862)+0.33*cos(0.40142572795862))
Evaluating ... ...
Pup = 83.3397276154223
STEP 3: Convert Result to Output's Unit
83.3397276154223 Newton --> No Conversion Required
FINAL ANSWER
83.3397276154223 83.33973 Newton <-- Effort to Move Upwards Considering Friction
(Calculation completed in 00.004 seconds)

Credits

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 Considering Friction Formula

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))
Pup = W*(sin(αi)+μ*cos(αi))

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 Upward Considering Friction?

Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction calculator uses 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)) to calculate the Effort to Move Upwards Considering Friction, Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction is the force required for upward motion of body on inclined plane. Effort to Move Upwards Considering Friction is denoted by Pup symbol.

How to calculate Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction using this online calculator? To use this online calculator for Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction, enter Weight of Body (W), Angle of Inclination of Plane to Horizontal i) & Coefficient of Friction (μ) and hit the calculate button. Here is how the Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction calculation can be explained with given input values -> 83.33973 = 120*(sin(0.40142572795862)+0.33*cos(0.40142572795862)).

FAQ

What is Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction?
Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction is the force required for upward motion of body on inclined plane and is represented as Pup = W*(sin(αi)+μ*cos(αi)) or 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)). 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 Upward Considering Friction?
Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction is the force required for upward motion of body on inclined plane is calculated using 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)). To calculate Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction, you need Weight of Body (W), Angle of Inclination of Plane to Horizontal 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 Upwards Considering Friction?
In this formula, Effort to Move Upwards 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 Upwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)
  • 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))
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