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

GoEffort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction Formula

GoEffort Applied to Move Body Downward on Inclined Plane Considering Friction Formula

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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. Check FAQs

P d = W \cdot \tan (α i - Φ)

P_d - Effort to Move Downwards Considering Friction?W - Weight of Body?α_i - Angle of Inclination of Plane to Horizontal?Φ - Limiting Angle of Friction?

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

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Here is how the Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction equation looks like with Values.

Here is how the Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction equation looks like with Units.

Here is how the Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction equation looks like.

46.0637 = 120 \cdot \tan (23 - 2)

46.0637N = 120N \cdot \tan (23° - 2°)

46.0637 = 120 \cdot \tan (23 - 2)

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

Follow our step by step solution on how to calculate Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction?

FIRST Step Consider the formula

P d = W \cdot \tan (α i - Φ)

Next Step Substitute values of Variables

∴

P d = 120N \cdot \tan (23° - 2°)

Next Step Convert Units

∴

P d = 120N \cdot \tan (0.4014rad - 0.0349rad)

Next Step Prepare to Evaluate

∴

P d = 120 \cdot \tan (0.4014 - 0.0349)

Next Step Evaluate

∴

P d = 46.0636842042404N

LAST Step Rounding Answer

∴

P d = 46.0637N

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

Variables

Functions

Effort to Move Downwards Considering Friction

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.

Symbol: P_d

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Effort to Move Downwards Considering Friction

Weight of Body

Weight of Body is the force acting on the object due to gravity.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight of Body

Angle of Inclination of Plane to Horizontal

Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another measured in degrees or radians.

Symbol: α_i

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Angle of Inclination of Plane to Horizontal

Limiting Angle of Friction

The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Limiting Angle of Friction

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.

Syntax: tan(Angle)

Other Formulas to find Effort to Move Downwards Considering Friction

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

P d = W \cdot (\sin (α i) - μ \cdot \cos (α i))

Go Effort Applied to Move Body Downward on Inclined Plane Considering Friction

P d = \frac{W \cdot \sin (α i - Φ)}{\sin (θ e - (α i - Φ))}

Other formulas in Angle Friction category

Go Angle of Repose

α r = a \tan (\frac{F lim}{R n})

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

μ = \frac{\tan (θ i)}{3}

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

η = \frac{\tan (α i - Φ)}{\tan (α i)}

Go Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Upward

η = \frac{\tan (α i)}{\tan (α i + Φ)}

How to Evaluate Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction?

Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction evaluator uses Effort to Move Downwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction) to evaluate the Effort to Move Downwards Considering Friction, Effort Applied Perpendicular 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 frictional forces that oppose the motion, and is a crucial concept in understanding the mechanics of inclined planes and friction. Effort to Move Downwards Considering Friction is denoted by P_d symbol.

How to evaluate Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction using this online evaluator? To use this online evaluator for Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction, enter Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i) & Limiting Angle of Friction (Φ) and hit the calculate button.

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

What is the formula to find Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction?

The formula of Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction is expressed as Effort to Move Downwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction). Here is an example- 46.06368 = 120*tan(0.40142572795862-0.03490658503988).

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

With Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i) & Limiting Angle of Friction (Φ) we can find Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction using the formula - Effort to Move Downwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Effort to Move Downwards Considering Friction?

Here are the different ways to Calculate Effort to Move Downwards Considering Friction-

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 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))

Can the Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction be negative?

No, the Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction, measured in Force cannot be negative.

Which unit is used to measure Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction?

Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction can be measured.

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