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

GoEffort Applied Perpendicular to Inclined Plane to Move Body along Inclination 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 \sin (α i)

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

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

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Here is how the Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction equation looks like with Values.

Here is how the Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction equation looks like with Units.

Here is how the Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction equation looks like.

46.8877 = 120 \cdot \sin (23)

46.8877N = 120N \cdot \sin (23°)

46.8877 = 120 \cdot \sin (23)

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

Follow our step by step solution on how to calculate Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction?

FIRST Step Consider the formula

P 0 = W \cdot \sin (α i)

Next Step Substitute values of Variables

∴

P 0 = 120N \cdot \sin (23°)

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

P 0 = 120 \cdot \sin (0.4014)

Next Step Evaluate

∴

P 0 = 46.8877354187045N

LAST Step Rounding Answer

∴

P 0 = 46.8877N

Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward 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

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.

Syntax: sin(Angle)

Other Formulas to find Effort Required to Move Neglecting Friction

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

P 0 = W \cdot \tan (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 Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction?

Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction evaluator uses Effort Required to Move Neglecting Friction = Weight of Body*sin(Angle of Inclination of Plane to Horizontal) to evaluate the Effort Required to Move Neglecting Friction, Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction formula is defined as the minimum force required to move an object up or down an inclined plane, without considering the effects of friction, which is essential in understanding the mechanical advantage of inclined planes in various applications. Effort Required to Move Neglecting Friction is denoted by P₀ symbol.

How to evaluate Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction using this online evaluator? To use this online evaluator for Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward 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 Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction

What is the formula to find Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction?

The formula of Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction is expressed as Effort Required to Move Neglecting Friction = Weight of Body*sin(Angle of Inclination of Plane to Horizontal). Here is an example- 46.88774 = 120*sin(0.40142572795862).

How to calculate Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction?

With Weight of Body (W) & Angle of Inclination of Plane to Horizontal (α_i) we can find Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction using the formula - Effort Required to Move Neglecting Friction = Weight of Body*sin(Angle of Inclination of Plane to Horizontal). This formula also uses Sine (sin) 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*tan(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 Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction be negative?

No, the Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction, measured in Force cannot be negative.

Which unit is used to measure Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction?

Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward 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 Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction can be measured.

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