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Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
center_distance = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2))
C = (D+d)/(2*sin((αs-3.14)/2))
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
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)
Wrap Angle for Small Pulley - Wrap Angle for Small Pulley is the angle that the Belt wraps around the Small Pulley. (Measured in Degree)
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)
Wrap Angle for Small Pulley: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = (D+d)/(2*sin((αs-3.14)/2)) --> (0.1+0.05)/(2*sin((0.785398163397301-3.14)/2))
Evaluating ... ...
C = -0.0812062265887541
STEP 3: Convert Result to Output's Unit
-0.0812062265887541 Meter -->-81.2062265887541 Millimeter (Check conversion here)
FINAL ANSWER
-81.2062265887541 Millimeter <-- Center Distance
(Calculation completed in 00.018 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

Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given Formula

center_distance = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2))
C = (D+d)/(2*sin((αs-3.14)/2))

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 Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given?

Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given calculator uses center_distance = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2)) to calculate the Center Distance, The Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given formula is defined as the distance in between the center of the small pulley and the big pulley. Center Distance and is denoted by C symbol.

How to calculate Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given using this online calculator? To use this online calculator for Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given, enter Diameter of Big Pulley (D), Diameter of Small Pulley (d) and Wrap Angle for Small Pulley s) and hit the calculate button. Here is how the Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given calculation can be explained with given input values -> -81.206227 = (0.1+0.05)/(2*sin((0.785398163397301-3.14)/2)).

FAQ

What is Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given?
The Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given formula is defined as the distance in between the center of the small pulley and the big pulley and is represented as C = (D+d)/(2*sin((αs-3.14)/2)) or center_distance = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2)). 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 Wrap Angle for Small Pulley is the angle that the Belt wraps around the Small Pulley.
How to calculate Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given?
The Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given formula is defined as the distance in between the center of the small pulley and the big pulley is calculated using center_distance = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2)). To calculate Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given, you need Diameter of Big Pulley (D), Diameter of Small Pulley (d) and Wrap Angle for Small Pulley s). With our tool, you need to enter the respective value for Diameter of Big Pulley, Diameter of Small Pulley and Wrap Angle for Small Pulley 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 Center Distance?
In this formula, Center Distance uses Diameter of Big Pulley, Diameter of Small Pulley and Wrap Angle for Small Pulley. 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 Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given calculator used?
Among many, Center Distance When Wrap Angle for Small Pulley of Cross Belt Drive is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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