Normal Reaction between Belt and Sides of Groove Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2))
Rn = R/(2*sin(β/2))
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Normal Reaction between Belt and Sides of Groove - (Measured in Newton) - Normal reaction between belt and sides of groove is component of contact force normal to the surfaces in contact is called normal reaction.
Total Reaction in Plane of Groove - (Measured in Newton) - Total reaction in plane of groove is a measure of the force holding the two surfaces together.
Angle of Groove - (Measured in Radian) - Angle of groove is shown in degrees and will include all of the groove, if it is a V Groove it will be a dimension from one groove face to the other.
STEP 1: Convert Input(s) to Base Unit
Total Reaction in Plane of Groove: 15 Newton --> 15 Newton No Conversion Required
Angle of Groove: 0.52 Radian --> 0.52 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rn = R/(2*sin(β/2)) --> 15/(2*sin(0.52/2))
Evaluating ... ...
Rn = 29.1737354101614
STEP 3: Convert Result to Output's Unit
29.1737354101614 Newton --> No Conversion Required
FINAL ANSWER
29.1737354101614 29.17374 Newton <-- Normal Reaction between Belt and Sides of Groove
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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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

Normal Reaction between Belt and Sides of Groove Formula

Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2))
Rn = R/(2*sin(β/2))

What is normal reaction?

The component of contact force normal to the surfaces in contact is called normal reaction. It is the force acting perpendicular to two surfaces in contact with each other. It is a measure of the force holding the two surfaces together.

Can a normal reaction be negative?

The normal reaction force is the force the ground exerts on the object to prevent the object from sinking into the ground. It can be zero. In which case, it would means that the object is floating just above the surface, not really touching it. But it cannot be negative.

How to Calculate Normal Reaction between Belt and Sides of Groove?

Normal Reaction between Belt and Sides of Groove calculator uses Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2)) to calculate the Normal Reaction between Belt and Sides of Groove, Normal Reaction between Belt and Sides of Groove is a component of contact force normal to the surfaces in contact is called normal reaction. It is the force acting perpendicular to two surfaces in contact with each other. It is a measure of the force holding the two surfaces together. Normal Reaction between Belt and Sides of Groove is denoted by Rn symbol.

How to calculate Normal Reaction between Belt and Sides of Groove using this online calculator? To use this online calculator for Normal Reaction between Belt and Sides of Groove, enter Total Reaction in Plane of Groove (R) & Angle of Groove (β) and hit the calculate button. Here is how the Normal Reaction between Belt and Sides of Groove calculation can be explained with given input values -> 29.17374 = 15/(2*sin(0.52/2)).

FAQ

What is Normal Reaction between Belt and Sides of Groove?
Normal Reaction between Belt and Sides of Groove is a component of contact force normal to the surfaces in contact is called normal reaction. It is the force acting perpendicular to two surfaces in contact with each other. It is a measure of the force holding the two surfaces together and is represented as Rn = R/(2*sin(β/2)) or Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2)). Total reaction in plane of groove is a measure of the force holding the two surfaces together & Angle of groove is shown in degrees and will include all of the groove, if it is a V Groove it will be a dimension from one groove face to the other.
How to calculate Normal Reaction between Belt and Sides of Groove?
Normal Reaction between Belt and Sides of Groove is a component of contact force normal to the surfaces in contact is called normal reaction. It is the force acting perpendicular to two surfaces in contact with each other. It is a measure of the force holding the two surfaces together is calculated using Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2)). To calculate Normal Reaction between Belt and Sides of Groove, you need Total Reaction in Plane of Groove (R) & Angle of Groove (β). With our tool, you need to enter the respective value for Total Reaction in Plane of Groove & Angle of Groove and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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