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Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
diameter_of_big_pulley = 2*sin((Wrap Angle for Small Pulley-3.14)/2)*Center Distance-Diameter of Small Pulley
D = 2*sin((αs-3.14)/2)*C-d
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Wrap Angle for Small Pulley - Wrap Angle for Small Pulley is the angle that the Belt wraps around the Small Pulley. (Measured in Degree)
Center Distance - Center Distance is the distance in between the centers of the big pulley and the small 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)
STEP 1: Convert Input(s) to Base Unit
Wrap Angle for Small Pulley: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Center Distance: 300 Millimeter --> 0.3 Meter (Check conversion here)
Diameter of Small Pulley: 50 Millimeter --> 0.05 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = 2*sin((αs-3.14)/2)*C-d --> 2*sin((0.785398163397301-3.14)/2)*0.3-0.05
Evaluating ... ...
D = -0.604144699123748
STEP 3: Convert Result to Output's Unit
-0.604144699123748 Meter -->-604.144699123748 Millimeter (Check conversion here)
-604.144699123748 Millimeter <-- Diameter of Big Pulley
(Calculation completed in 00.016 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

Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given Formula

diameter_of_big_pulley = 2*sin((Wrap Angle for Small Pulley-3.14)/2)*Center Distance-Diameter of Small Pulley
D = 2*sin((αs-3.14)/2)*C-d

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 Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given?

Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given calculator uses diameter_of_big_pulley = 2*sin((Wrap Angle for Small Pulley-3.14)/2)*Center Distance-Diameter of Small Pulley to calculate the Diameter of Big Pulley, The Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given formula is defined as the distance from side to side of the flat of the pulley. Diameter of Big Pulley and is denoted by D symbol.

How to calculate Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given using this online calculator? To use this online calculator for Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given, enter Wrap Angle for Small Pulley s), Center Distance (C) and Diameter of Small Pulley (d) and hit the calculate button. Here is how the Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given calculation can be explained with given input values -> -604.144699 = 2*sin((0.785398163397301-3.14)/2)*0.3-0.05.

FAQ

What is Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given?
The Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given formula is defined as the distance from side to side of the flat of the pulley and is represented as D = 2*sin((αs-3.14)/2)*C-d or diameter_of_big_pulley = 2*sin((Wrap Angle for Small Pulley-3.14)/2)*Center Distance-Diameter of Small Pulley. Wrap Angle for Small Pulley is the angle that the Belt wraps around the Small Pulley, Center Distance is the distance in between the centers of the big pulley and the small pulley and Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.
How to calculate Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given?
The Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given formula is defined as the distance from side to side of the flat of the pulley is calculated using diameter_of_big_pulley = 2*sin((Wrap Angle for Small Pulley-3.14)/2)*Center Distance-Diameter of Small Pulley. To calculate Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given, you need Wrap Angle for Small Pulley s), Center Distance (C) and Diameter of Small Pulley (d). With our tool, you need to enter the respective value for Wrap Angle for Small Pulley, Center Distance and Diameter of 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 Diameter of Big Pulley?
In this formula, Diameter of Big Pulley uses Wrap Angle for Small Pulley, Center Distance and Diameter of 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 Diameter of Big Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given calculator used?
Among many, Diameter of Big Pulley 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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