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

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

GoEffort Required to Move Body down Plane Neglecting Friction Formula

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Effort Required to Move Neglecting Friction is the force required to move the body up/down the plane neglecting friction. Check FAQs

P 0 = W \cdot \tan (α i)

P₀ - Effort Required to Move Neglecting Friction?W - Weight of Body?α_i - Angle of Inclination of Plane to Horizontal?

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

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Here is how the Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction equation looks like with Values.

Here is how the Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction equation looks like with Units.

Here is how the Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction equation looks like.

50.937 = 120 \cdot \tan (23)

50.937N = 120N \cdot \tan (23°)

50.937 = 120 \cdot \tan (23)

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

Follow our step by step solution on how to calculate Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction?

FIRST Step Consider the formula

P 0 = W \cdot \tan (α i)

Next Step Substitute values of Variables

∴

P 0 = 120N \cdot \tan (23°)

Next Step Convert Units

∴

P 0 = 120N \cdot \tan (0.4014rad)

Next Step Prepare to Evaluate

∴

P 0 = 120 \cdot \tan (0.4014)

Next Step Evaluate

∴

P 0 = 50.9369779451418N

LAST Step Rounding Answer

∴

P 0 = 50.937N

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

Variables

Functions

Effort Required to Move Neglecting Friction

Effort Required to Move Neglecting Friction is the force required to move the body up/down the plane neglecting friction.

Symbol: P₀

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Effort Required to Move Neglecting 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

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 Required to Move Neglecting Friction

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

P 0 = W \cdot \sin (α i)

Go Effort Required to Move Body down Plane Neglecting Friction

P 0 = \frac{W \cdot \sin (α i)}{\sin (θ e - α i)}

Go Effort Required to Move Body up Plane Neglecting Friction

P 0 = \frac{W \cdot \sin (α i)}{\sin (θ e - α i)}

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 along Inclination Neglecting Friction?

Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction evaluator uses Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal) to evaluate the Effort Required to Move Neglecting Friction, Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction formula is defined as the minimum force required to move an object up an inclined plane, neglecting the effects of friction, which is essential in understanding the mechanics of inclined planes and their applications in real-world scenarios. Effort Required to Move Neglecting Friction is denoted by P₀ symbol.

How to evaluate Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction using this online evaluator? To use this online evaluator 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 (α_i) and hit the calculate button.

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

What is the formula to find Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction?

The formula of Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction is expressed as Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal). Here is an example- 50.93698 = 120*tan(0.40142572795862).

How to calculate Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction?

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

What are the other ways to Calculate Effort Required to Move Neglecting Friction?

Here are the different ways to Calculate Effort Required to Move Neglecting Friction-

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)

Can the Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction be negative?

No, the Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction, measured in Force cannot be negative.

Which unit is used to measure 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 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 along Inclination Neglecting Friction can be measured.

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