Angle of Contact for Cross Belt Drive Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle of Contact = 180*pi/180+2*Angle made by Belt with Vertical Axis
θcontact = 180*pi/180+2*α
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angle of Contact - (Measured in Radian) - The angle of contact is the angle subtended by the belt on the pulley.
Angle made by Belt with Vertical Axis - (Measured in Radian) - Angle made by belt with vertical axis is the angle made by a line joining the center of the pulley to the belt with vertical axis.
STEP 1: Convert Input(s) to Base Unit
Angle made by Belt with Vertical Axis: 0.523 Radian --> 0.523 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θcontact = 180*pi/180+2*α --> 180*pi/180+2*0.523
Evaluating ... ...
θcontact = 4.18759265358979
STEP 3: Convert Result to Output's Unit
4.18759265358979 Radian --> No Conversion Required
FINAL ANSWER
4.18759265358979 4.187593 Radian <-- Angle of Contact
(Calculation completed in 00.020 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Team Softusvista
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20 Belt Drive Calculators

Length of Open Belt Drive
Go Total Length of Belt = pi*(Radii of Smaller Pulley+Radii of Larger Pulley)+2*Distance Between Centers of Two Pulleys+((Radii of Larger Pulley-Radii of Smaller Pulley)^2)/Distance Between Centers of Two Pulleys
Cross Belt Drive Length
Go Length Belt Drive = pi*(Radii of Smaller Pulley+Radii of Larger Pulley)+2*Distance Between Centers of Two Pulleys+(Radii of Smaller Pulley+Radii of Larger Pulley)^2/Distance Between Centers of Two Pulleys
Frictional Force in V Belt Drive
Go Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2)
Relation between Pitch and Pitch Circle Diameter of Chain Drive
Go Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket)
Angle Made by Belt with Vertical Axis for Cross Belt Drive
Go Angle made by Belt with Vertical Axis = (Radii of Smaller Pulley+Radii of Larger Pulley)/Distance Between Centers of Two Pulleys
Angle Made by Belt with Vertical Axis for Open Belt Drive
Go Angle made by Belt with Vertical Axis = (Radii of Larger Pulley-Radii of Smaller Pulley)/Distance Between Centers of Two Pulleys
Initial Tension in Belt
Go Initial Tension of Belt = (Tension in Tight Side of Belt+Tension in Slack Side of Belt+2*Centrifugal Tension of Belt)/2
Normal Reaction between Belt and Sides of Groove
Go Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2))
Torque Exerted on Driven Pulley
Go Torque Exerted on Pulley = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Diameter of Follower/2
Torque Exerted on Driving Pulley
Go Torque Exerted on Pulley = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Diameter of Driver/2
Power Transmitted by Belt
Go Power Transmitted = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Velocity of Belt
Velocity for Transmission of Maximum Power by Belt
Go Velocity of Belt = sqrt(Maximum Tension of Belt/(3*Mass of Belt per Unit Length))
Length of Belt that Passes over Follower
Go Length of Belt over Follower = pi*Speed of Follower*Diameter of Follower Pulley
Length of Belt that Passes over Driver
Go Length of Belt over Driver = pi*Diameter of Driver Pulley*Speed of Driver
Maximum Tension of Belt
Go Maximum Tension of Belt = Maximum Safe Stress*Belt Width*Belt Thickness
Total Percentage Slip in Belt
Go Total Percentage of Slip = Slip between Driver and Belt+Slip between Belt and Follower
Centrifugal Tension in Belt
Go Centrifugal Tension of Belt = Mass of Belt per Unit Length*Velocity of Belt
Angle of Contact for Cross Belt Drive
Go Angle of Contact = 180*pi/180+2*Angle made by Belt with Vertical Axis
Angle of Contact for Open Belt Drive
Go Angle of Contact = 180*pi/180-2*Angle made by Belt with Vertical Axis
Maximum Tension for Transmission of Maximum Power by Belt
Go Maximum Tension of Belt = 3*Centrifugal Tension of Belt

Angle of Contact for Cross Belt Drive Formula

Angle of Contact = 180*pi/180+2*Angle made by Belt with Vertical Axis
θcontact = 180*pi/180+2*α

What is the angle of contact?

The angle of contact is the angle subtended by the belt on the pulley is known as the angle of contact or arc of contact.

How to Calculate Angle of Contact for Cross Belt Drive?

Angle of Contact for Cross Belt Drive calculator uses Angle of Contact = 180*pi/180+2*Angle made by Belt with Vertical Axis to calculate the Angle of Contact, the angle of contact for cross belt drive refers to the angle made by the portion of the belt in contact with the pulley. Angle of Contact is denoted by θcontact symbol.

How to calculate Angle of Contact for Cross Belt Drive using this online calculator? To use this online calculator for Angle of Contact for Cross Belt Drive, enter Angle made by Belt with Vertical Axis (α) and hit the calculate button. Here is how the Angle of Contact for Cross Belt Drive calculation can be explained with given input values -> 4.187593 = 180*pi/180+2*0.523.

FAQ

What is Angle of Contact for Cross Belt Drive?
the angle of contact for cross belt drive refers to the angle made by the portion of the belt in contact with the pulley and is represented as θcontact = 180*pi/180+2*α or Angle of Contact = 180*pi/180+2*Angle made by Belt with Vertical Axis. Angle made by belt with vertical axis is the angle made by a line joining the center of the pulley to the belt with vertical axis.
How to calculate Angle of Contact for Cross Belt Drive?
the angle of contact for cross belt drive refers to the angle made by the portion of the belt in contact with the pulley is calculated using Angle of Contact = 180*pi/180+2*Angle made by Belt with Vertical Axis. To calculate Angle of Contact for Cross Belt Drive, you need Angle made by Belt with Vertical Axis (α). With our tool, you need to enter the respective value for Angle made by Belt with Vertical Axis 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 Angle of Contact?
In this formula, Angle of Contact uses Angle made by Belt with Vertical Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Angle of Contact = 180*pi/180-2*Angle made by Belt with Vertical Axis
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