Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure 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)/3
T = μf*Wt*Ds*cosec(α)/3
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 - 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: 30.286549 Degree --> 0.528599999116497 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = μf*Wt*Ds*cosec(α)/3 --> 0.4*24*0.5*cosec(0.528599999116497)/3
Evaluating ... ...
T = 3.17255791014307
STEP 3: Convert Result to Output's Unit
3.17255791014307 Newton Meter --> No Conversion Required
FINAL ANSWER
3.17255791014307 3.172558 Newton Meter <-- Total Torque
(Calculation completed in 00.020 seconds)

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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
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​ 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

Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure Formula

​LaTeX ​Go
Total Torque = Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/3
T = μf*Wt*Ds*cosec(α)/3

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 Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure?

Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure calculator uses Total Torque = Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/3 to calculate the Total Torque, Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure is the torque needed to overcome friction along the conical surface, considering the pressure distribution, bearing geometry, and coefficient of friction. Total Torque is denoted by T symbol.

How to calculate Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure using this online calculator? To use this online calculator for Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure, enter Coefficient of Friction f), Load Transmitted Over Bearing Surface (Wt), Shaft Diameter (Ds) & Semi Angle of Cone (α) and hit the calculate button. Here is how the Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure calculation can be explained with given input values -> 3.172558 = 0.4*24*0.5*cosec(0.528599999116497)/3.

FAQ

What is Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure?
Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure is the torque needed to overcome friction along the conical surface, considering the pressure distribution, bearing geometry, and coefficient of friction and is represented as T = μf*Wt*Ds*cosec(α)/3 or Total Torque = Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/3. 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 Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure?
Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure is the torque needed to overcome friction along the conical surface, considering the pressure distribution, bearing geometry, and coefficient of friction is calculated using Total Torque = Coefficient of Friction*Load Transmitted Over Bearing Surface*Shaft Diameter*cosec(Semi Angle of Cone)/3. To calculate Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure, you need Coefficient of Friction f), Load Transmitted Over Bearing Surface (Wt), Shaft Diameter (Ds) & 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 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*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
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