Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
T = 2/3*μf*Wt*(r1^3-r2^3)/(r1^2-r2^2)
This formula uses 5 Variables
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 - 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.
Outer Radius of Bearing Surface - (Measured in Meter) - Outer Radius of Bearing Surface is the distance from the center to the outer edge of the bearing.
Inner Radius of Bearing Surface - (Measured in Meter) - Inner Radius of Bearing Surface is the distance from center to the inner edge of bearing.
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
Outer Radius of Bearing Surface: 8 Meter --> 8 Meter No Conversion Required
Inner Radius of Bearing Surface: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = 2/3*μf*Wt*(r1^3-r2^3)/(r1^2-r2^2) --> 2/3*0.4*24*(8^3-6^3)/(8^2-6^2)
Evaluating ... ...
T = 67.6571428571429
STEP 3: Convert Result to Output's Unit
67.6571428571429 Newton Meter --> No Conversion Required
FINAL ANSWER
67.6571428571429 67.65714 Newton Meter <-- Total Torque
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Pivot Bearing Calculators

Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure
​ LaTeX ​ Go Total Torque = Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/3
Frictional Torque on Conical Pivot Bearing by Uniform Pressure
​ LaTeX ​ 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
​ LaTeX ​ Go Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Radius of Bearing Surface)/2
Total Frictional Torque on Conical Pivot Bearing Considering Uniform Wear when Slant Height of Cone
​ LaTeX ​ Go Total Torque = (Coefficient of Friction*Load Transmitted Over Bearing Surface*Slant Height)/2

Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure Formula

​LaTeX ​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)
T = 2/3*μf*Wt*(r1^3-r2^3)/(r1^2-r2^2)

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 Truncated Conical Pivot Bearing by Uniform Pressure?

Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure calculator uses 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) to calculate the Total Torque, Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure is the torque required to overcome friction, assuming that the pressure is uniformly distributed over the contact surface of the truncated conical bearing. Total Torque is denoted by T symbol.

How to calculate Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure using this online calculator? To use this online calculator for Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure, enter Coefficient of Friction f), Load Transmitted Over Bearing Surface (Wt), Outer Radius of Bearing Surface (r1) & Inner Radius of Bearing Surface (r2) and hit the calculate button. Here is how the Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure calculation can be explained with given input values -> 67.65714 = 2/3*0.4*24*(8^3-6^3)/(8^2-6^2).

FAQ

What is Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure?
Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure is the torque required to overcome friction, assuming that the pressure is uniformly distributed over the contact surface of the truncated conical bearing and is represented as T = 2/3*μf*Wt*(r1^3-r2^3)/(r1^2-r2^2) or 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). 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, Outer Radius of Bearing Surface is the distance from the center to the outer edge of the bearing & Inner Radius of Bearing Surface is the distance from center to the inner edge of bearing.
How to calculate Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure?
Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure is the torque required to overcome friction, assuming that the pressure is uniformly distributed over the contact surface of the truncated conical bearing is calculated using 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). To calculate Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure, you need Coefficient of Friction f), Load Transmitted Over Bearing Surface (Wt), Outer Radius of Bearing Surface (r1) & Inner Radius of Bearing Surface (r2). With our tool, you need to enter the respective value for Coefficient of Friction, Load Transmitted Over Bearing Surface, Outer Radius of Bearing Surface & Inner Radius of Bearing Surface 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, Outer Radius of Bearing Surface & Inner Radius of Bearing Surface. We can use 3 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
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