FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Diameter of Big Pulley given Wrap Angle of Small Pulley Formula

GoDiameter of Big Pulley given Wrap Angle for Big Pulley Formula

Fx Copy

LaTeX Copy

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

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

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

Diameter of Big Pulley given Wrap Angle of Small Pulley Example

With values

With units

Only example

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

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

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

546.3597 = 270 + (2 \cdot 1600 \cdot \sin (\frac{3.14 - 170}{2}))

546.3597mm = 270mm + (2 \cdot 1600mm \cdot \sin (\frac{3.14 - 170°}{2}))

546.3597 = 270 + (2 \cdot 1600 \cdot \sin (\frac{3.14 - 170}{2}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Diameter of Big Pulley given Wrap Angle of Small Pulley

Diameter of Big Pulley given Wrap Angle of Small Pulley Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = 270mm + (2 \cdot 1600mm \cdot \sin (\frac{3.14 - 170°}{2}))

Next Step Convert Units

∴

D = 0.27m + (2 \cdot 1.6m \cdot \sin (\frac{3.14 - 2.9671rad}{2}))

Next Step Prepare to Evaluate

∴

D = 0.27 + (2 \cdot 1.6 \cdot \sin (\frac{3.14 - 2.9671}{2}))

Next Step Evaluate

∴

D = 0.546359739732623m

Next Step Convert to Output's Unit

∴

D = 546.359739732623mm

LAST Step Rounding Answer

∴

D = 546.3597mm

Diameter of Big Pulley given Wrap Angle of Small 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.

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 centres 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

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

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 for Big Pulley

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

Other formulas in Introduction of Belt Drives category

Go Wrap Angle for Small Pulley

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

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 Wrap Angle for Big Pulley

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

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

Diameter of Big Pulley given Wrap Angle of Small Pulley evaluator uses Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((3.14-Wrap Angle on Small Pulley)/2)) to evaluate the Diameter of Big Pulley, The Diameter of Big Pulley given Wrap Angle of Small 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 of Small Pulley using this online evaluator? To use this online evaluator for Diameter of Big Pulley given Wrap Angle of Small Pulley, enter Diameter of Small Pulley (d), Centre Distance between Pulleys (C) & Wrap Angle on Small Pulley (α_s) and hit the calculate button.

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

What is the formula to find Diameter of Big Pulley given Wrap Angle of Small Pulley?

The formula of Diameter of Big Pulley given Wrap Angle of Small Pulley is expressed as Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((3.14-Wrap Angle on Small Pulley)/2)). Here is an example- 546359.7 = 0.27+(2*1.6*sin((3.14-2.9670597283898)/2)).

How to calculate Diameter of Big Pulley given Wrap Angle of Small Pulley?

With Diameter of Small Pulley (d), Centre Distance between Pulleys (C) & Wrap Angle on Small Pulley (α_s) we can find Diameter of Big Pulley given Wrap Angle of Small Pulley using the formula - Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((3.14-Wrap Angle on Small Pulley)/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((Wrap Angle on Big Pulley-3.14)/2))

Can the Diameter of Big Pulley given Wrap Angle of Small Pulley be negative?

No, the Diameter of Big Pulley given Wrap Angle of Small Pulley, measured in Length cannot be negative.

Which unit is used to measure Diameter of Big Pulley given Wrap Angle of Small Pulley?

Diameter of Big Pulley given Wrap Angle of Small 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 of Small Pulley can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Diameter of Big Pulley given Wrap Angle of Small Pulley Formula

​GoDiameter of Big Pulley given Wrap Angle for Big Pulley Formula

Diameter of Big Pulley given Wrap Angle of Small Pulley Example

Diameter of Big Pulley given Wrap Angle of Small Pulley Solution

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

Other Formulas to find Diameter of Big Pulley

Other formulas in Introduction of Belt Drives category

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

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

Variable Name

GoDiameter of Big Pulley given Wrap Angle for Big Pulley Formula