Normal Reaction between Belt and Sides of Groove Calculator

✖Total reaction in plane of groove is a measure of the force holding the two surfaces together.ⓘ Total Reaction in Plane of Groove [R]			+10% -10%
✖Angle of groove is shown in degrees and will include all of the groove, if it is a V Groove it will be a dimension from one groove face to the other.ⓘ Angle of Groove [β]			+10% -10%

✖Normal reaction between belt and sides of groove is component of contact force normal to the surfaces in contact is called normal reaction.ⓘ Normal Reaction between Belt and Sides of Groove [R_n]

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Formula

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Normal Reaction between Belt and Sides of Groove

Formula

R n = \frac{R}{2 \cdot \sin (\frac{β}{2})}

Example

29.17374 N = \frac{15 N}{2 \cdot \sin (\frac{0.52 rad}{2})}

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Normal Reaction between Belt and Sides of Groove Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2))
R_n = R/(2*sin(β/2))
This formula uses 1 Functions, 3 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)

Variables Used

Normal Reaction between Belt and Sides of Groove - (Measured in Newton) - Normal reaction between belt and sides of groove is component of contact force normal to the surfaces in contact is called normal reaction.
Total Reaction in Plane of Groove - (Measured in Newton) - Total reaction in plane of groove is a measure of the force holding the two surfaces together.
Angle of Groove - (Measured in Radian) - Angle of groove is shown in degrees and will include all of the groove, if it is a V Groove it will be a dimension from one groove face to the other.

STEP 1: Convert Input(s) to Base Unit

Total Reaction in Plane of Groove: 15 Newton --> 15 Newton No Conversion Required
Angle of Groove: 0.52 Radian --> 0.52 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_n = R/(2*sin(β/2)) --> 15/(2*sin(0.52/2))

Evaluating ... ...

R_n = 29.1737354101614

STEP 3: Convert Result to Output's Unit

29.1737354101614 Newton --> No Conversion Required

FINAL ANSWER

29.1737354101614 ≈ 29.17374 Newton <-- Normal Reaction between Belt and Sides of Groove

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Belt, Rope and Chain Drives » Mechanical » Belt Drive » Normal Reaction between Belt and Sides of Groove

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National Institute Of Technology (NIT), Hamirpur

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Normal Reaction between Belt and Sides of Groove Formula

Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2))
R_n = R/(2*sin(β/2))

What is normal reaction?

The component of contact force normal to the surfaces in contact is called normal reaction. It is the force acting perpendicular to two surfaces in contact with each other. It is a measure of the force holding the two surfaces together.

Can a normal reaction be negative?

The normal reaction force is the force the ground exerts on the object to prevent the object from sinking into the ground. It can be zero. In which case, it would means that the object is floating just above the surface, not really touching it. But it cannot be negative.

How to Calculate Normal Reaction between Belt and Sides of Groove?

Normal Reaction between Belt and Sides of Groove calculator uses Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2)) to calculate the Normal Reaction between Belt and Sides of Groove, Normal Reaction between Belt and Sides of Groove is a component of contact force normal to the surfaces in contact is called normal reaction. It is the force acting perpendicular to two surfaces in contact with each other. It is a measure of the force holding the two surfaces together. Normal Reaction between Belt and Sides of Groove is denoted by R_n symbol.

How to calculate Normal Reaction between Belt and Sides of Groove using this online calculator? To use this online calculator for Normal Reaction between Belt and Sides of Groove, enter Total Reaction in Plane of Groove (R) & Angle of Groove (β) and hit the calculate button. Here is how the Normal Reaction between Belt and Sides of Groove calculation can be explained with given input values -> 29.17374 = 15/(2*sin(0.52/2)).

FAQ

What is Normal Reaction between Belt and Sides of Groove?

Normal Reaction between Belt and Sides of Groove is a component of contact force normal to the surfaces in contact is called normal reaction. It is the force acting perpendicular to two surfaces in contact with each other. It is a measure of the force holding the two surfaces together and is represented as R_n = R/(2*sin(β/2)) or Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2)). Total reaction in plane of groove is a measure of the force holding the two surfaces together & Angle of groove is shown in degrees and will include all of the groove, if it is a V Groove it will be a dimension from one groove face to the other.

How to calculate Normal Reaction between Belt and Sides of Groove?

Normal Reaction between Belt and Sides of Groove is a component of contact force normal to the surfaces in contact is called normal reaction. It is the force acting perpendicular to two surfaces in contact with each other. It is a measure of the force holding the two surfaces together is calculated using Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2)). To calculate Normal Reaction between Belt and Sides of Groove, you need Total Reaction in Plane of Groove (R) & Angle of Groove (β). With our tool, you need to enter the respective value for Total Reaction in Plane of Groove & Angle of Groove 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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