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Normal Force Formula

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Normal Force is the force which is normal to the shear force. Check FAQs

Fn = Fc \cdot \sin (θ) + P t \cdot \cos (θ)

Fn - Normal Force?Fc - Centripetal Force?θ - Theta?P_t - Tangential Force?

Normal Force Example

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With units

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Here is how the Normal Force equation looks like with Values.

Here is how the Normal Force equation looks like with Units.

Here is how the Normal Force equation looks like.

621.6506 = 1200 \cdot \sin (30) + 25 \cdot \cos (30)

621.6506N = 1200N \cdot \sin (30°) + 25N \cdot \cos (30°)

621.6506 = 1200 \cdot \sin (30) + 25 \cdot \cos (30)

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Normal Force Solution

Follow our step by step solution on how to calculate Normal Force?

FIRST Step Consider the formula

Fn = Fc \cdot \sin (θ) + P t \cdot \cos (θ)

Next Step Substitute values of Variables

∴

Fn = 1200N \cdot \sin (30°) + 25N \cdot \cos (30°)

Next Step Convert Units

∴

Fn = 1200N \cdot \sin (0.5236rad) + 25N \cdot \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

Fn = 1200 \cdot \sin (0.5236) + 25 \cdot \cos (0.5236)

Next Step Evaluate

∴

Fn = 621.650635094611N

LAST Step Rounding Answer

∴

Fn = 621.6506N

Normal Force Formula Elements

Variables

Functions

Normal Force

Normal Force is the force which is normal to the shear force.

Symbol: Fn

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Normal Force

Centripetal Force

A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.

Symbol: Fc

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Centripetal Force

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

Tangential Force

The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force

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 in Metal Cutting category

Go Shear Angle

ϕ = a \tan (w \cdot \frac{\cos (θ)}{1 - w \cdot \sin (θ)})

Go Shear Force

F s = Fc \cdot \cos (θ) - P t \cdot \sin (θ)

Go Shear Plane Angle

ϕ = \arctan (\frac{r \cdot \cos (α)}{1 - r \cdot \sin (α)})

Go Shear Strain

𝜂 = \tan (ϕ) + \cot (ϕ - α)

How to Evaluate Normal Force?

Normal Force evaluator uses Normal Force = Centripetal Force*sin(Theta)+Tangential Force*cos(Theta) to evaluate the Normal Force, Normal Force is the force which is normal to the shear force. Normal Force is denoted by Fn symbol.

How to evaluate Normal Force using this online evaluator? To use this online evaluator for Normal Force, enter Centripetal Force (Fc), Theta (θ) & Tangential Force (P_t) and hit the calculate button.

FAQs on Normal Force

What is the formula to find Normal Force?

The formula of Normal Force is expressed as Normal Force = Centripetal Force*sin(Theta)+Tangential Force*cos(Theta). Here is an example- 621.6506 = 1200*sin(0.5235987755982)+25*cos(0.5235987755982).

How to calculate Normal Force?

With Centripetal Force (Fc), Theta (θ) & Tangential Force (P_t) we can find Normal Force using the formula - Normal Force = Centripetal Force*sin(Theta)+Tangential Force*cos(Theta). This formula also uses Sine (sin), Cosine (cos) function(s).

Can the Normal Force be negative?

Yes, the Normal Force, measured in Force can be negative.

Which unit is used to measure Normal Force?

Normal Force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Normal Force can be measured.

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Normal Force Formula

Normal Force Example

Normal Force Solution

Normal Force Formula Elements

Other formulas in Metal Cutting category

How to Evaluate Normal Force?

FAQs on Normal Force

Variable Name