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Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley. Check FAQs
D=d+(2Csin(αb-3.142))
D - Diameter of Big Pulley?d - Diameter of Small Pulley?C - Centre Distance between Pulleys?αb - Wrap Angle on Big Pulley?

Diameter of Big Pulley given Wrap Angle for Big Pulley Example

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With units
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Here is how the Diameter of Big Pulley given Wrap Angle for Big Pulley equation looks like with Values.

Here is how the Diameter of Big Pulley given Wrap Angle for Big Pulley equation looks like with Units.

Here is how the Diameter of Big Pulley given Wrap Angle for Big Pulley equation looks like.

828.1835Edit=270Edit+(21600Editsin(200Edit-3.142))
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Diameter of Big Pulley given Wrap Angle for Big Pulley Solution

Follow our step by step solution on how to calculate Diameter of Big Pulley given Wrap Angle for Big Pulley?

FIRST Step Consider the formula
D=d+(2Csin(αb-3.142))
Next Step Substitute values of Variables
D=270mm+(21600mmsin(200°-3.142))
Next Step Convert Units
D=0.27m+(21.6msin(3.4907rad-3.142))
Next Step Prepare to Evaluate
D=0.27+(21.6sin(3.4907-3.142))
Next Step Evaluate
D=0.828183524246264m
Next Step Convert to Output's Unit
D=828.183524246264mm
LAST Step Rounding Answer
D=828.1835mm

Diameter of Big Pulley given Wrap Angle for Big Pulley Formula Elements

Variables
Functions
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.
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.
Centre Distance between Pulleys
Centre Distance between Pulleys is the distance between the centres of the big pulley and the small pulley.
Symbol: C
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Wrap Angle on Big Pulley
Wrap Angle on Big Pulley is the angle that the Belt wraps around the Big Pulley.
Symbol: αb
Measurement: AngleUnit: °
Note: Value should be greater than 0.
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 to find Diameter of Big Pulley

​Go Diameter of Big Pulley given Wrap Angle of Small Pulley
D=d+(2Csin(3.14-αs2))

Other formulas in Introduction of Belt Drives category

​Go Wrap Angle for Small Pulley
αs=3.14-(2(asin(D-d2C)))
​Go Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley
C=D-d2sin(3.14-αs2)
​Go Diameter of Small Pulley given Wrap Angle of Small Pulley
d=D-(2Csin(3.14-αs2))
​Go Wrap Angle for Big Pulley
αb=3.14+(2(asin(D-d2C)))

How to Evaluate Diameter of Big Pulley given Wrap Angle for Big Pulley?

Diameter of Big Pulley given Wrap Angle for Big Pulley evaluator uses Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2)) to evaluate the Diameter of Big Pulley, The Diameter of Big Pulley given Wrap Angle for Big Pulley formula is defined as the distance from side to side of the flat part of the bigger pulley. Diameter of Big Pulley is denoted by D symbol.

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

FAQs on Diameter of Big Pulley given Wrap Angle for Big Pulley

What is the formula to find Diameter of Big Pulley given Wrap Angle for Big Pulley?
The formula of Diameter of Big Pulley given Wrap Angle for Big Pulley is expressed as Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2)). Here is an example- 828183.5 = 0.27+(2*1.6*sin((3.490658503988-3.14)/2)).
How to calculate Diameter of Big Pulley given Wrap Angle for Big Pulley?
With Diameter of Small Pulley (d), Centre Distance between Pulleys (C) & Wrap Angle on Big Pulley b) we can find Diameter of Big Pulley given Wrap Angle for Big Pulley using the formula - Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2)). This formula also uses Sine (sin) function(s).
What are the other ways to Calculate Diameter of Big Pulley?
Here are the different ways to Calculate Diameter of Big Pulley-
  • Diameter of Big Pulley=Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((3.14-Wrap Angle on Small Pulley)/2))OpenImg
Can the Diameter of Big Pulley given Wrap Angle for Big Pulley be negative?
No, the Diameter of Big Pulley given Wrap Angle for Big Pulley, measured in Length cannot be negative.
Which unit is used to measure Diameter of Big Pulley given Wrap Angle for Big Pulley?
Diameter of Big Pulley given Wrap Angle for Big Pulley is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Big Pulley given Wrap Angle for Big Pulley can be measured.
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