Frictional Torque on Conical Pivot Bearing by Uniform Wear Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/2)/2
T = (μfriction*Wt*Dshaft*cosec(α)/2)/2
This formula uses 2 Functions, 5 Variables
Functions Used
sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(Angle)
cosec - The cosecant function is a trigonometric function that is the reciprocal of the sine function., cosec(Angle)
Variables Used
Total Torque - (Measured in Newton Meter) - Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Load Transmitted Over Bearing Surface - (Measured in Newton) - Load transmitted over bearing surface is the weight of load to be lifted.
Shaft Diameter - (Measured in Meter) - Shaft Diameter is the diameter of the shaft of the pile.
Semi Angle of Cone - (Measured in Radian) - Semi Angle of Cone is the semi-vertical angle formed by the cone.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Friction: 0.4 --> No Conversion Required
Load Transmitted Over Bearing Surface: 24 Newton --> 24 Newton No Conversion Required
Shaft Diameter: 0.5 Meter --> 0.5 Meter No Conversion Required
Semi Angle of Cone: 0.5286 Radian --> 0.5286 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = (μfriction*Wt*Dshaft*cosec(α)/2)/2 --> (0.4*24*0.5*cosec(0.5286)/2)/2
Evaluating ... ...
T = 2.37941842900784
STEP 3: Convert Result to Output's Unit
2.37941842900784 Newton Meter --> No Conversion Required
FINAL ANSWER
2.37941842900784 2.379418 Newton Meter <-- Total Torque
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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12 Pivot Bearing Calculators

Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure
Go Total Torque = 2/3*Coefficient of Friction*Load Transmitted Over Bearing Surface*(Outer Radius of Bearing Surface^3-Inner Radius of Bearing Surface^3)/(Outer Radius of Bearing Surface^2-Inner Radius of Bearing Surface^2)
Frictional Torque on Conical Pivot Bearing by Uniform Wear
Go Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/2)/2
Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure
Go Total Torque = Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/3
Total Frictional Torque on Truncated Conical Pivot Bearing Considering Uniform Wear
Go Total Torque = Coefficient of Friction*Load Transmitted Over Bearing Surface*(Outer Radius of Bearing Surface+Inner Radius of Bearing Surface)/2
Frictional Torque on Conical Pivot Bearing by Uniform Pressure
Go Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*Slant Height)/3
Total Frictional Torque on Flat Pivot Bearing Considering Uniform Wear
Go Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Radius of Bearing Surface)/2
Frictional Torque on Flat Pivot Bearing by Uniform Pressure
Go Total Torque = 2/3*Coefficient of Friction*Load Transmitted Over Bearing Surface*Radius of Bearing Surface
Total Frictional Torque on Conical Pivot Bearing Considering Uniform Wear when Slant Height of Cone
Go Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Slant Height)/2
Pressure over Bearing Area of Flat Pivot Bearing
Go Pressure Intensity = Load Transmitted Over Bearing Surface/(pi*Radius of Bearing Surface^2)
Total Vertical Load Transmitted to Conical Pivot Bearing for Uniform Pressure
Go Load Transmitted Over Bearing Surface = pi*(Shaft Diameter/2)^2*Pressure Intensity
Torque Required to Overcome Friction at Collar
Go Total Torque = Coefficient of Friction for Collar*Load*Mean Radius of Collar
Mean Radius of Collar
Go Mean Radius of Collar = (Outer Radius of Collar+Inner Radius of Collar)/2

Frictional Torque on Conical Pivot Bearing by Uniform Wear Formula

Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/2)/2
T = (μfriction*Wt*Dshaft*cosec(α)/2)/2

What is pivot bearing?

Pivot bearings are frictionless bearings that are suitable for pivotal, angular, or oscillating applications. A cantilevered pivot bearing is a commonly used type of pivot bearing for applications such as gimbal rings. mirror mounts. four-bar linkages.

How to Calculate Frictional Torque on Conical Pivot Bearing by Uniform Wear?

Frictional Torque on Conical Pivot Bearing by Uniform Wear calculator uses Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/2)/2 to calculate the Total Torque, Frictional Torque on Conical Pivot Bearing by Uniform Wear is the torque caused by the frictional force that occurs when two objects in contact move. Total Torque is denoted by T symbol.

How to calculate Frictional Torque on Conical Pivot Bearing by Uniform Wear using this online calculator? To use this online calculator for Frictional Torque on Conical Pivot Bearing by Uniform Wear, enter Coefficient of Friction friction), Load Transmitted Over Bearing Surface (Wt), Shaft Diameter (Dshaft) & Semi Angle of Cone (α) and hit the calculate button. Here is how the Frictional Torque on Conical Pivot Bearing by Uniform Wear calculation can be explained with given input values -> 2.379418 = (0.4*24*0.5*cosec(0.5286)/2)/2.

FAQ

What is Frictional Torque on Conical Pivot Bearing by Uniform Wear?
Frictional Torque on Conical Pivot Bearing by Uniform Wear is the torque caused by the frictional force that occurs when two objects in contact move and is represented as T = (μfriction*Wt*Dshaft*cosec(α)/2)/2 or Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/2)/2. The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it, Load transmitted over bearing surface is the weight of load to be lifted, Shaft Diameter is the diameter of the shaft of the pile & Semi Angle of Cone is the semi-vertical angle formed by the cone.
How to calculate Frictional Torque on Conical Pivot Bearing by Uniform Wear?
Frictional Torque on Conical Pivot Bearing by Uniform Wear is the torque caused by the frictional force that occurs when two objects in contact move is calculated using Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/2)/2. To calculate Frictional Torque on Conical Pivot Bearing by Uniform Wear, you need Coefficient of Friction friction), Load Transmitted Over Bearing Surface (Wt), Shaft Diameter (Dshaft) & Semi Angle of Cone (α). With our tool, you need to enter the respective value for Coefficient of Friction, Load Transmitted Over Bearing Surface, Shaft Diameter & Semi Angle of Cone 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 Total Torque?
In this formula, Total Torque uses Coefficient of Friction, Load Transmitted Over Bearing Surface, Shaft Diameter & Semi Angle of Cone. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Total Torque = Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/3
  • Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*Slant Height)/3
  • Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Slant Height)/2
  • Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Radius of Bearing Surface)/2
  • Total Torque = 2/3*Coefficient of Friction*Load Transmitted Over Bearing Surface*Radius of Bearing Surface
  • Total Torque = 2/3*Coefficient of Friction*Load Transmitted Over Bearing Surface*(Outer Radius of Bearing Surface^3-Inner Radius of Bearing Surface^3)/(Outer Radius of Bearing Surface^2-Inner Radius of Bearing Surface^2)
  • Total Torque = Coefficient of Friction*Load Transmitted Over Bearing Surface*(Outer Radius of Bearing Surface+Inner Radius of Bearing Surface)/2
  • Total Torque = Coefficient of Friction for Collar*Load*Mean Radius of Collar
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