Normal Force Calculator

✖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.ⓘ Centripetal Force [Fc]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%
✖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.ⓘ Tangential Force [P_t]			+10% -10%

✖Normal Force is the force which is normal to the shear force.ⓘ Normal Force [Fn]

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Normal Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Force = Centripetal Force*sin(Theta)+Tangential Force*cos(Theta)
Fn = Fc*sin(θ)+P_t*cos(θ)
This formula uses 2 Functions, 4 Variables

Functions Used

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., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Normal Force - (Measured in Newton) - Normal Force is the force which is normal to the shear force.
Centripetal Force - (Measured in Newton) - 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.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Tangential Force - (Measured in Newton) - 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.

STEP 1: Convert Input(s) to Base Unit

Centripetal Force: 1200 Newton --> 1200 Newton No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Tangential Force: 25 Newton --> 25 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Fn = Fc*sin(θ)+P_t*cos(θ) --> 1200*sin(0.5235987755982)+25*cos(0.5235987755982)

Evaluating ... ...

Fn = 621.650635094611

STEP 3: Convert Result to Output's Unit

621.650635094611 Newton --> No Conversion Required

FINAL ANSWER

621.650635094611 ≈ 621.6506 Newton <-- Normal Force

(Calculation completed in 00.007 seconds)

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Credits

Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

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< Metal Cutting Calculators

Shear Plane Angle

LaTeX Go Shear Angle Metal = arctan((Chip Ratio*cos(Rake Angle))/(1-Chip Ratio*sin(Rake Angle)))

Shear Angle

LaTeX Go Shear Angle Metal = atan(Width*cos(Theta)/(1-Width*sin(Theta)))

Shear Force

LaTeX Go Shear Force = Centripetal Force*cos(Theta)-Tangential Force*sin(Theta)

Shear Strain

LaTeX Go Shear Strain = tan(Shear Angle Metal)+cot(Shear Angle Metal-Rake Angle)

Normal Force Formula

LaTeX Go

Normal Force = Centripetal Force*sin(Theta)+Tangential Force*cos(Theta)
Fn = Fc*sin(θ)+P_t*cos(θ)

What is the Importance of Shear Angle?

If all other factors remain the same, a higher shear angle results in a smaller shear plane area. Since the shear strength is applied across this area, the shear force required to form the chip will decrease when the shear plane area is decreased. This tends to make machining easier to perform, and also lower cutting energy and cutting temperature.

How to Calculate Normal Force?

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

How to calculate Normal Force using this online calculator? To use this online calculator for Normal Force, enter Centripetal Force (Fc), Theta (θ) & Tangential Force (P_t) and hit the calculate button. Here is how the Normal Force calculation can be explained with given input values -> 621.6506 = 1200*sin(0.5235987755982)+25*cos(0.5235987755982).

FAQ

What is Normal Force?

Normal Force is the force which is normal to the shear force and is represented as Fn = Fc*sin(θ)+P_t*cos(θ) or Normal Force = Centripetal Force*sin(Theta)+Tangential Force*cos(Theta). 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, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & 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.

How to calculate Normal Force?

Normal Force is the force which is normal to the shear force is calculated using Normal Force = Centripetal Force*sin(Theta)+Tangential Force*cos(Theta). To calculate Normal Force, you need Centripetal Force (Fc), Theta (θ) & Tangential Force (P_t). With our tool, you need to enter the respective value for Centripetal Force, Theta & Tangential Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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