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Normal Reaction between Belt and Sides of Groove Formula

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Normal Reaction Between Belt And Sides of Groove is component of contact force normal to the surfaces in contact is called normal reaction. Check FAQs

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

R_n - Normal Reaction Between Belt And Sides of Groove?R - Total Reaction in Plane of Groove?β - Angle of Groove?

Normal Reaction between Belt and Sides of Groove Example

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Here is how the Normal Reaction between Belt and Sides of Groove equation looks like with Values.

Here is how the Normal Reaction between Belt and Sides of Groove equation looks like with Units.

Here is how the Normal Reaction between Belt and Sides of Groove equation looks like.

29.1737 = \frac{15}{2 \cdot \sin (\frac{0.52}{2})}

29.1737N = \frac{15N}{2 \cdot \sin (\frac{0.52rad}{2})}

29.1737 = \frac{15}{2 \cdot \sin (\frac{0.52}{2})}

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Normal Reaction between Belt and Sides of Groove Solution

Follow our step by step solution on how to calculate Normal Reaction between Belt and Sides of Groove?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

R n = \frac{15}{2 \cdot \sin (\frac{0.52}{2})}

Next Step Evaluate

∴

R n = 29.1737354101614N

LAST Step Rounding Answer

∴

R n = 29.1737N

Normal Reaction between Belt and Sides of Groove Formula Elements

Variables

Functions

Normal Reaction Between Belt And Sides of Groove

Normal Reaction Between Belt And Sides of Groove is component of contact force normal to the surfaces in contact is called normal reaction.

Symbol: R_n

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Reaction Between Belt And Sides of Groove

Total Reaction in Plane of Groove

Total Reaction in Plane of Groove is a measure of the force holding the two surfaces together.

Symbol: R

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Total Reaction in Plane of Groove

Angle of Groove

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.

Symbol: β

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle of Groove

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)

Other formulas in Belt Drive category

Go Power Transmitted by Belt

P = (T 1 - T 2) \cdot v

Go Relation between Pitch and Pitch Circle Diameter of Chain Drive

d p = P c \cdot \cos e c (\frac{180 \cdot \frac{π}{180}}{t s})

Go Torque Exerted on Driving Pulley

τ = (T 1 - T 2) \cdot \frac{d d}{2}

Go Torque Exerted on Driven Pulley

τ = (T 1 - T 2) \cdot \frac{d f}{2}

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

Normal Reaction between Belt and Sides of Groove evaluator uses Normal Reaction Between Belt And Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2)) to evaluate the Normal Reaction Between Belt And Sides of Groove, Normal Reaction between Belt and Sides of Groove formula is defined as the measure of the normal reaction force exerted by the belt on the sides of the groove in a belt drive system, which is essential to determine the efficiency and performance of the system. Normal Reaction Between Belt And Sides of Groove is denoted by R_n symbol.

How to evaluate Normal Reaction between Belt and Sides of Groove using this online evaluator? To use this online evaluator 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.

FAQs on Normal Reaction between Belt and Sides of Groove

What is the formula to find Normal Reaction between Belt and Sides of Groove?

The formula of Normal Reaction between Belt and Sides of Groove is expressed as Normal Reaction Between Belt And Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2)). Here is an example- 29.17374 = 15/(2*sin(0.52/2)).

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

With Total Reaction in Plane of Groove (R) & Angle of Groove (β) we can find Normal Reaction between Belt and Sides of Groove using the formula - Normal Reaction Between Belt And Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2)). This formula also uses Sine (sin) function(s).

Can the Normal Reaction between Belt and Sides of Groove be negative?

Yes, the Normal Reaction between Belt and Sides of Groove, measured in Force can be negative.

Which unit is used to measure Normal Reaction between Belt and Sides of Groove?

Normal Reaction between Belt and Sides of Groove is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Normal Reaction between Belt and Sides of Groove can be measured.

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