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

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

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

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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. Check FAQs

P u = W \cdot \tan (α i + Φ)

P_u - Effort to Move Upwards 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 Upward Considering Friction Example

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

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

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

55.9569 = 120 \cdot \tan (23 + 2)

55.9569N = 120N \cdot \tan (23° + 2°)

55.9569 = 120 \cdot \tan (23 + 2)

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

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

FIRST Step Consider the formula

P u = W \cdot \tan (α i + Φ)

Next Step Substitute values of Variables

∴

P u = 120N \cdot \tan (23° + 2°)

Next Step Convert Units

∴

P u = 120N \cdot \tan (0.4014rad + 0.0349rad)

Next Step Prepare to Evaluate

∴

P u = 120 \cdot \tan (0.4014 + 0.0349)

Next Step Evaluate

∴

P u = 55.9569189785878N

LAST Step Rounding Answer

∴

P u = 55.9569N

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

Variables

Functions

Effort to Move Upwards Considering Friction

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.

Symbol: P_u

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Effort to Move Upwards 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 Upwards Considering Friction

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

P u = W \cdot (\sin (α i) + μ \cdot \cos (α i))

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

P u = \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 Upward Considering Friction?

Effort Applied Perpendicular to Inclined Plane to Move Body Upward Considering Friction evaluator uses Effort to Move Upwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction) to evaluate the Effort to Move Upwards Considering Friction, Effort Applied Perpendicular to Inclined Plane to Move Body Upward Considering Friction formula is defined as the force required to move an object up an inclined plane, taking into account the effects of friction, which opposes the motion and depends on the angle of inclination and the coefficient of friction. Effort to Move Upwards Considering Friction is denoted by P_u symbol.

How to evaluate Effort Applied Perpendicular to Inclined Plane to Move Body Upward Considering Friction using this online evaluator? To use this online evaluator for Effort Applied Perpendicular to Inclined Plane to Move Body Upward 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 Upward Considering Friction

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

The formula of Effort Applied Perpendicular to Inclined Plane to Move Body Upward Considering Friction is expressed as Effort to Move Upwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction). Here is an example- 55.95692 = 120*tan(0.40142572795862+0.03490658503988).

How to calculate Effort Applied Perpendicular to Inclined Plane to Move Body Upward 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 Upward Considering Friction using the formula - Effort to Move Upwards 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 Upwards Considering Friction?

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

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 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))

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

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

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

Effort Applied Perpendicular to Inclined Plane to Move Body Upward 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 Upward Considering Friction can be measured.

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