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

STEP 0: Pre-Calculation Summary
Formula Used
diameter_of_small_pulley = 2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2)-Diameter of Big Pulley
d = 2*C*sin((αs-3.14)/2)-D
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Center Distance - Center Distance is the distance in between the centers of the big pulley and 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)
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)
STEP 1: Convert Input(s) to Base Unit
Center Distance: 300 Millimeter --> 0.3 Meter (Check conversion here)
Wrap Angle for Small Pulley: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Diameter of Big Pulley: 100 Millimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = 2*C*sin((αs-3.14)/2)-D --> 2*0.3*sin((0.785398163397301-3.14)/2)-0.1
Evaluating ... ...
d = -0.654144699123748
STEP 3: Convert Result to Output's Unit
-0.654144699123748 Meter -->-654.144699123748 Millimeter (Check conversion here)
FINAL ANSWER
-654.144699123748 Millimeter <-- Diameter of 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

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

diameter_of_small_pulley = 2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2)-Diameter of Big Pulley
d = 2*C*sin((αs-3.14)/2)-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 Small Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given?

Diameter of Small Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given calculator uses diameter_of_small_pulley = 2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2)-Diameter of Big Pulley to calculate the Diameter of Small Pulley, The Diameter of Small 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 Small Pulley and is denoted by d symbol.

How to calculate Diameter of Small 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 Small Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given, enter Center Distance (C), Wrap Angle for Small Pulley s) and Diameter of Big Pulley (D) and hit the calculate button. Here is how the Diameter of Small Pulley When Wrap Angle for Small Pulley of Cross Belt Drive is Given calculation can be explained with given input values -> -654.144699 = 2*0.3*sin((0.785398163397301-3.14)/2)-0.1.

FAQ

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