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Wrap Angle for Small Pulley of Cross Belt Drive Solution

STEP 0: Pre-Calculation Summary
Formula Used
wrap_angle_for_small_pulley = 3.14+2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/2*Center Distance)
αs = 3.14+2*asin((D+d)/2*C)
This formula uses 2 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
asin - Inverse trigonometric sine function, asin(Number)
Variables Used
Diameter of Big Pulley - Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley. (Measured in Millimeter)
Diameter of Small Pulley - Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley. (Measured in Millimeter)
Center Distance - Center Distance is the distance in between the centers of the big pulley and the small pulley. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Diameter of Big Pulley: 100 Millimeter --> 0.1 Meter (Check conversion here)
Diameter of Small Pulley: 50 Millimeter --> 0.05 Meter (Check conversion here)
Center Distance: 300 Millimeter --> 0.3 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αs = 3.14+2*asin((D+d)/2*C) --> 3.14+2*asin((0.1+0.05)/2*0.3)
Evaluating ... ...
αs = 3.18500379774024
STEP 3: Convert Result to Output's Unit
3.18500379774024 Radian -->182.487275343689 Degree (Check conversion here)
FINAL ANSWER
182.487275343689 Degree <-- Wrap Angle for Small Pulley
(Calculation completed in 00.015 seconds)

6 Crossed Belt Drives Calculators

Belt Length for a Cross Belt Drive
belt_length = 2*Center Distance+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+((Diameter of Small Pulley+Diameter of Big Pulley)^2/4*Center Distance) Go
Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given
center_distance = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2)) Go
Wrap Angle for Small Pulley of Cross Belt Drive
wrap_angle_for_small_pulley = 3.14+2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/2*Center Distance) Go
Diameter of Small Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given
diameter_of_small_pulley = 2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2)-Diameter of Big Pulley Go
Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given
diameter_of_big_pulley = 2*sin((Wrap Angle for Small Pulley-3.14)/2)*Center Distance-Diameter of Small Pulley Go
Wrap Angle for the Big Pulley of Cross Belt Drive
wrap_angle_for_big_pulley = 1*Wrap Angle for Small Pulley Go

Wrap Angle for Small Pulley of Cross Belt Drive Formula

wrap_angle_for_small_pulley = 3.14+2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/2*Center Distance)
αs = 3.14+2*asin((D+d)/2*C)

Applications of Belt Drives?

A belt drive is used to transfer power. The belt drive is used in the Mill industry. The belt drive is used in Conveyor.

How to Calculate Wrap Angle for Small Pulley of Cross Belt Drive?

Wrap Angle for Small Pulley of Cross Belt Drive calculator uses wrap_angle_for_small_pulley = 3.14+2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/2*Center Distance) to calculate the Wrap Angle for Small Pulley, The Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the angle between the run-up and run-off of the belt on the pulley. Wrap Angle for Small Pulley and is denoted by αs symbol.

How to calculate Wrap Angle for Small Pulley of Cross Belt Drive using this online calculator? To use this online calculator for Wrap Angle for Small Pulley of Cross Belt Drive, enter Diameter of Big Pulley (D), Diameter of Small Pulley (d) and Center Distance (C) and hit the calculate button. Here is how the Wrap Angle for Small Pulley of Cross Belt Drive calculation can be explained with given input values -> 182.4873 = 3.14+2*asin((0.1+0.05)/2*0.3).

FAQ

What is Wrap Angle for Small Pulley of Cross Belt Drive?
The Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the angle between the run-up and run-off of the belt on the pulley and is represented as αs = 3.14+2*asin((D+d)/2*C) or wrap_angle_for_small_pulley = 3.14+2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/2*Center Distance). Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley, Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley and Center Distance is the distance in between the centers of the big pulley and the small pulley.
How to calculate Wrap Angle for Small Pulley of Cross Belt Drive?
The Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the angle between the run-up and run-off of the belt on the pulley is calculated using wrap_angle_for_small_pulley = 3.14+2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/2*Center Distance). To calculate Wrap Angle for Small Pulley of Cross Belt Drive, you need Diameter of Big Pulley (D), Diameter of Small Pulley (d) and Center Distance (C). With our tool, you need to enter the respective value for Diameter of Big Pulley, Diameter of Small Pulley and Center Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wrap Angle for Small Pulley?
In this formula, Wrap Angle for Small Pulley uses Diameter of Big Pulley, Diameter of Small Pulley and Center Distance. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • wrap_angle_for_small_pulley = 3.14+2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/2*Center Distance)
  • center_distance = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2))
  • diameter_of_small_pulley = 2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2)-Diameter of Big Pulley
  • diameter_of_big_pulley = 2*sin((Wrap Angle for Small Pulley-3.14)/2)*Center Distance-Diameter of Small Pulley
  • wrap_angle_for_big_pulley = 1*Wrap Angle for Small Pulley
  • belt_length = 2*Center Distance+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+((Diameter of Small Pulley+Diameter of Big Pulley)^2/4*Center Distance)
Where is the Wrap Angle for Small Pulley of Cross Belt Drive calculator used?
Among many, Wrap Angle for Small Pulley of Cross Belt Drive calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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