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Wrap Angle for Small Pulley Formula

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Wrap Angle on Small Pulley is the angle that the Belt wraps around the Small Pulley. Check FAQs

α s = 3.14 - 2 \cdot a \sin (\frac{D - d}{2 \cdot C})

α_s - Wrap Angle on Small Pulley?D - Diameter of Big Pulley?d - Diameter of Small Pulley?C - Centre Distance between Pulleys?

Wrap Angle for Small Pulley Example

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With units

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Here is how the Wrap Angle for Small Pulley equation looks like with Values.

Here is how the Wrap Angle for Small Pulley equation looks like with Units.

Here is how the Wrap Angle for Small Pulley equation looks like.

160.167 = 3.14 - 2 \cdot a \sin (\frac{810 - 270}{2 \cdot 1575})

160.167° = 3.14 - 2 \cdot a \sin (\frac{810mm - 270mm}{2 \cdot 1575mm})

160.167 = 3.14 - 2 \cdot a \sin (\frac{810 - 270}{2 \cdot 1575})

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Wrap Angle for Small Pulley Solution

Follow our step by step solution on how to calculate Wrap Angle for Small Pulley?

FIRST Step Consider the formula

α s = 3.14 - 2 \cdot a \sin (\frac{D - d}{2 \cdot C})

Next Step Substitute values of Variables

∴

α s = 3.14 - 2 \cdot a \sin (\frac{810mm - 270mm}{2 \cdot 1575mm})

Next Step Convert Units

∴

α s = 3.14 - 2 \cdot a \sin (\frac{0.81m - 0.27m}{2 \cdot 1.575m})

Next Step Prepare to Evaluate

∴

α s = 3.14 - 2 \cdot a \sin (\frac{0.81 - 0.27}{2 \cdot 1.575})

Next Step Evaluate

∴

α s = 2.79544095254396rad

Next Step Convert to Output's Unit

∴

α s = 160.16696845883°

LAST Step Rounding Answer

∴

α s = 160.167°

Wrap Angle for Small Pulley Formula Elements

Variables

Functions

Wrap Angle on Small Pulley

Wrap Angle on Small Pulley is the angle that the Belt wraps around the Small Pulley.

Symbol: α_s

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Wrap Angle on Small Pulley

Diameter of Big Pulley

Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Big Pulley

Diameter of Small Pulley

Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Small Pulley

Centre Distance between Pulleys

Centre Distance between Pulleys is the distance between the centers of the big pulley and the small pulley.

Symbol: C

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Centre Distance between Pulleys

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other formulas in Introduction of Belt Drives category

Go Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley

C = \frac{D - d}{2 \cdot \sin (\frac{3.14 - α s}{2})}

Go Diameter of Small Pulley given Wrap Angle of Small Pulley

d = D - 2 \cdot C \cdot \sin (\frac{3.14 - α s}{2})

Go Diameter of Big Pulley given Wrap Angle of Small Pulley

D = d + 2 \cdot C \cdot \sin (\frac{3.14 - α s}{2})

Go Wrap Angle for Big Pulley

α b = 3.14 + 2 \cdot a \sin (\frac{D - d}{2 \cdot C})

How to Evaluate Wrap Angle for Small Pulley?

Wrap Angle for Small Pulley evaluator uses Wrap Angle on Small Pulley = 3.14-2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/(2*Centre Distance between Pulleys)) to evaluate the Wrap Angle on Small Pulley, Wrap Angle for Small Pulley formula is defined as a measure of the angle through which a belt wraps around a small pulley, influencing the belt's grip and the efficiency of power transmission in mechanical systems. Wrap Angle on Small Pulley is denoted by α_s symbol.

How to evaluate Wrap Angle for Small Pulley using this online evaluator? To use this online evaluator for Wrap Angle for Small Pulley, enter Diameter of Big Pulley (D), Diameter of Small Pulley (d) & Centre Distance between Pulleys (C) and hit the calculate button.

FAQs on Wrap Angle for Small Pulley

What is the formula to find Wrap Angle for Small Pulley?

The formula of Wrap Angle for Small Pulley is expressed as Wrap Angle on Small Pulley = 3.14-2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/(2*Centre Distance between Pulleys)). Here is an example- 9176.891 = 3.14-2*asin((0.81-0.27)/(2*1.575)).

How to calculate Wrap Angle for Small Pulley?

With Diameter of Big Pulley (D), Diameter of Small Pulley (d) & Centre Distance between Pulleys (C) we can find Wrap Angle for Small Pulley using the formula - Wrap Angle on Small Pulley = 3.14-2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/(2*Centre Distance between Pulleys)). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

Can the Wrap Angle for Small Pulley be negative?

No, the Wrap Angle for Small Pulley, measured in Angle cannot be negative.

Which unit is used to measure Wrap Angle for Small Pulley?

Wrap Angle for Small Pulley is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Wrap Angle for Small Pulley can be measured.

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Wrap Angle for Small Pulley Formula

Wrap Angle for Small Pulley Example

Wrap Angle for Small Pulley Solution

Wrap Angle for Small Pulley Formula Elements

Other formulas in Introduction of Belt Drives category

How to Evaluate Wrap Angle for Small Pulley?

FAQs on Wrap Angle for Small Pulley

Variable Name