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

STEP 0: Pre-Calculation Summary
Formula Used
Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal)
P0 = W*tan(αi)
This formula uses 1 Functions, 3 Variables
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(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*tan(αi) --> 120*tan(0.40142572795862)
Evaluating ... ...
P0 = 50.9369779451418
STEP 3: Convert Result to Output's Unit
50.9369779451418 Newton --> No Conversion Required
FINAL ANSWER
50.9369779451418 50.93698 Newton <-- Effort Required to Move Neglecting Friction
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
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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 Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction Formula

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

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 Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction?

Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction calculator uses Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal) to calculate the Effort Required to Move Neglecting Friction, Effort applied perpendicular to inclined plane to move body along inclination neglecting friction is the force required for upward/downward motion of a body on an inclined plane. Effort Required to Move Neglecting Friction is denoted by P0 symbol.

How to calculate Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction using this online calculator? To use this online calculator for Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction, enter Weight of Body (W) & Angle of Inclination of Plane to Horizontal i) and hit the calculate button. Here is how the Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction calculation can be explained with given input values -> 50.93698 = 120*tan(0.40142572795862).

FAQ

What is Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction?
Effort applied perpendicular to inclined plane to move body along inclination neglecting friction is the force required for upward/downward motion of a body on an inclined plane and is represented as P0 = W*tan(αi) or Effort Required to Move Neglecting Friction = Weight of Body*tan(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 Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction?
Effort applied perpendicular to inclined plane to move body along inclination neglecting friction is the force required for upward/downward motion of a body on an inclined plane is calculated using Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal). To calculate Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction, you need Weight of Body (W) & Angle of Inclination of Plane to Horizontal 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*sin(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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