Normal Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Force = Centripetal Force*sin(Theta)+Tangential Force*cos(Theta)
Fn = Fc*sin(θ)+Pt*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)+Pt*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 00.004 seconds)

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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15 Metal Cutting Calculators

Shear Plane Angle
Go Shear Angle Metal = arctan((Chip Ratio*cos(Rake Angle))/(1-Chip Ratio*sin(Rake Angle)))
Shear Angle
Go Shear Angle Metal = atan(Width*cos(Theta)/(1-Width*sin(Theta)))
Normal Force
Go Normal Force = Centripetal Force*sin(Theta)+Tangential Force*cos(Theta)
Shear Force
Go Shear Force = Centripetal Force*cos(Theta)-Tangential Force*sin(Theta)
Maximum Production Rate
Go Maximum Production Rate = Cost of metal cutting/(((1/Number of Rotations-1)*Tool Changing Time)^Number of Rotations)
Shear Strain in Machining
Go Shear Strain Machining = tan(Shear Angle Plane-Rake Angle)+cos(Shear Angle Plane)
Shear Strain
Go Shear Strain = tan(Shear Angle Metal)+cot(Shear Angle Metal-Rake Angle)
Peak to Valley Height
Go Height = Feed/(tan(Angle A)+cot(Angle B))
Sheer Yield Strength
Go Shear Yield Strength = Width*Feed*cosec(Shear Angle)
Mass Removal Rate
Go Mass Removal Rate = Weight*Current Magnitude/(Valency*96500)
Specific Power Consumption
Go Specific Power Consumption = Force/(Width*Feed)
Cutting Speed given Angular Speed
Go Cutting Speed = pi*Diameter*Angular Speed
Shear Strain given Tangential Displacement and Original Length
Go Shear Strain = Tangential Displacement/Initial Length
Maximum Profit Rate
Go Maximum Profit Rate = 1/(Feed*Rotation Speed)
Peak to Valley Height given Feed and Radius
Go Peak to Valley Height = (Feed^2)/8*Radius

Normal Force Formula

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