FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

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

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

Fx Copy

LaTeX Copy

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 (\sin (α i) + μ \cdot \cos (α i))

P_u - Effort to Move Upwards Considering Friction?W - Weight of Body?α_i - Angle of Inclination of Plane to Horizontal?μ - Coefficient of Friction?

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

With values

With units

Only example

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

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

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

83.7079 = 120 \cdot (\sin (23) + 0.3333 \cdot \cos (23))

83.7079N = 120N \cdot (\sin (23°) + 0.3333 \cdot \cos (23°))

83.7079 = 120 \cdot (\sin (23) + 0.3333 \cdot \cos (23))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Mechanics » fx Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P u = 120N \cdot (\sin (23°) + 0.3333 \cdot \cos (23°))

Next Step Convert Units

∴

P u = 120N \cdot (\sin (0.4014rad) + 0.3333 \cdot \cos (0.4014rad))

Next Step Prepare to Evaluate

∴

P u = 120 \cdot (\sin (0.4014) + 0.3333 \cdot \cos (0.4014))

Next Step Evaluate

∴

P u = 83.7078927366091N

LAST Step Rounding Answer

∴

P u = 83.7079N

Effort Applied Parallel 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

Coefficient of Friction

The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Coefficient of Friction

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)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Effort to Move Upwards Considering Friction

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

P u = W \cdot \tan (α i + Φ)

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 Parallel to Inclined Plane to Move Body Upward Considering Friction?

Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction evaluator uses 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)) to evaluate the Effort to Move Upwards Considering Friction, Effort Applied Parallel 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 and the angle of inclination, which determines the amount of effort needed to overcome the opposing forces. Effort to Move Upwards Considering Friction is denoted by P_u symbol.

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

FAQs on Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction

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

The formula of Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction is expressed as 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)). Here is an example- 91.07197 = 120*(sin(0.40142572795862)+0.333333*cos(0.40142572795862)).

How to calculate Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction?

With Weight of Body (W), Angle of Inclination of Plane to Horizontal (α_i) & Coefficient of Friction (μ) we can find Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction using the formula - 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)). This formula also uses Sine (sin), Cosine (cos) 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*tan(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)
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 Parallel to Inclined Plane to Move Body Upward Considering Friction be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit