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Effort Required to Move Body up Plane Neglecting Friction Formula

GoEffort 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

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

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

Effort Required to Move Body up Plane Neglecting Friction Example

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Here is how the Effort Required to Move Body up Plane Neglecting Friction equation looks like with Values.

Here is how the Effort Required to Move Body up Plane Neglecting Friction equation looks like with Units.

Here is how the Effort Required to Move Body up Plane Neglecting Friction equation looks like.

53.1036 = \frac{120 \cdot \sin (23)}{\sin (85 - 23)}

53.1036N = \frac{120N \cdot \sin (23°)}{\sin (85° - 23°)}

53.1036 = \frac{120 \cdot \sin (23)}{\sin (85 - 23)}

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Effort Required to Move Body up Plane Neglecting Friction Solution

Follow our step by step solution on how to calculate Effort Required to Move Body up Plane Neglecting Friction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P 0 = \frac{120N \cdot \sin (23°)}{\sin (85° - 23°)}

Next Step Convert Units

∴

P 0 = \frac{120N \cdot \sin (0.4014rad)}{\sin (1.4835rad - 0.4014rad)}

Next Step Prepare to Evaluate

∴

P 0 = \frac{120 \cdot \sin (0.4014)}{\sin (1.4835 - 0.4014)}

Next Step Evaluate

∴

P 0 = 53.1036448798622N

LAST Step Rounding Answer

∴

P 0 = 53.1036N

Effort Required to Move Body up Plane 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

Angle of Effort

Angle of Effort is the angle which the line of action of effort makes with the weight of the body W.

Symbol: θ_e

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Angle of Effort

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 Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction

P 0 = W \cdot \sin (α i)

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)}

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 Required to Move Body up Plane Neglecting Friction?

Effort Required to Move Body up Plane Neglecting Friction evaluator uses 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) to evaluate the Effort Required to Move Neglecting Friction, Effort Required to Move Body up Plane Neglecting Friction formula is defined as the minimum force required to move an object up an inclined plane without considering the effects of friction, which depends on the weight of the object and the angle of inclination. Effort Required to Move Neglecting Friction is denoted by P₀ symbol.

How to evaluate Effort Required to Move Body up Plane Neglecting Friction using this online evaluator? To use this online evaluator for Effort Required to Move Body up Plane Neglecting Friction, enter Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i) & Angle of Effort (θ_e) and hit the calculate button.

FAQs on Effort Required to Move Body up Plane Neglecting Friction

What is the formula to find Effort Required to Move Body up Plane Neglecting Friction?

The formula of Effort Required to Move Body up Plane Neglecting Friction is expressed as 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). Here is an example- 53.10364 = (120*sin(0.40142572795862))/sin(1.4835298641949-0.40142572795862).

How to calculate Effort Required to Move Body up Plane Neglecting Friction?

With Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i) & Angle of Effort (θ_e) we can find Effort Required to Move Body up Plane Neglecting Friction using the formula - 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). 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*sin(Angle of Inclination of Plane to Horizontal)
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)

Can the Effort Required to Move Body up Plane Neglecting Friction be negative?

No, the Effort Required to Move Body up Plane Neglecting Friction, measured in Force cannot be negative.

Which unit is used to measure Effort Required to Move Body up Plane Neglecting Friction?

Effort Required to Move Body up Plane 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 Required to Move Body up Plane Neglecting Friction can be measured.

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