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Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure Formula

GoTotal Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure Formula

GoFrictional Torque on Conical Pivot Bearing by Uniform Pressure Formula

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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. Check FAQs

T = \frac{2}{3} \cdot μ f \cdot W t \cdot \frac{{r 1}^{3} - {r 2}^{3}}{{r 1}^{2} - {r 2}^{2}}

T - Total Torque?μ_f - Coefficient of Friction?W_t - Load Transmitted Over Bearing Surface?r₁ - Outer Radius of Bearing Surface?r₂ - Inner Radius of Bearing Surface?

Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure Example

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Here is how the Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure equation looks like with Values.

Here is how the Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure equation looks like with Units.

Here is how the Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure equation looks like.

67.6571 = \frac{2}{3} \cdot 0.4 \cdot 24 \cdot \frac{8^{3} - 6^{3}}{8^{2} - 6^{2}}

67.6571N*m = \frac{2}{3} \cdot 0.4 \cdot 24N \cdot \frac{{8m}^{3} - {6m}^{3}}{{8m}^{2} - {6m}^{2}}

67.6571 = \frac{2}{3} \cdot 0.4 \cdot 24 \cdot \frac{8^{3} - 6^{3}}{8^{2} - 6^{2}}

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Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure Solution

Follow our step by step solution on how to calculate Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure?

FIRST Step Consider the formula

T = \frac{2}{3} \cdot μ f \cdot W t \cdot \frac{{r 1}^{3} - {r 2}^{3}}{{r 1}^{2} - {r 2}^{2}}

Next Step Substitute values of Variables

∴

T = \frac{2}{3} \cdot 0.4 \cdot 24N \cdot \frac{{8m}^{3} - {6m}^{3}}{{8m}^{2} - {6m}^{2}}

Next Step Prepare to Evaluate

∴

T = \frac{2}{3} \cdot 0.4 \cdot 24 \cdot \frac{8^{3} - 6^{3}}{8^{2} - 6^{2}}

Next Step Evaluate

∴

T = 67.6571428571429N*m

LAST Step Rounding Answer

∴

T = 67.6571N*m

Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure Formula Elements

Variables

Total Torque

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.

Symbol: T

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Total Torque

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.

Symbol: μ_f

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Coefficient of Friction

Load Transmitted Over Bearing Surface

Load Transmitted Over Bearing Surface is the weight of load to be lifted.

Symbol: W_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load Transmitted Over Bearing Surface

Outer Radius of Bearing Surface

Outer Radius of Bearing Surface is the distance from the center to the outer edge of the bearing.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Outer Radius of Bearing Surface

Inner Radius of Bearing Surface

Inner Radius of Bearing Surface is the distance from center to the inner edge of bearing.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Bearing Surface

Other Formulas to find Total Torque

Go Total Frictional Torque on Conical Pivot Bearing Considering Uniform Pressure

T = μ f \cdot W t \cdot D s \cdot \cos e c \frac{α}{3}

Go Frictional Torque on Conical Pivot Bearing by Uniform Pressure

T = \frac{μ f \cdot W t \cdot D s \cdot h s}{3}

Go Total Frictional Torque on Conical Pivot Bearing Considering Uniform Wear when Slant Height of Cone

T = \frac{μ f \cdot W t \cdot h s}{2}

Go Total Frictional Torque on Flat Pivot Bearing Considering Uniform Wear

T = \frac{μ f \cdot W t \cdot R}{2}

Other formulas in Pivot Bearing category

Go Mean Radius of Collar

R c = \frac{R 1 + R 2}{2}

Go Pressure over Bearing Area of Flat Pivot Bearing

p i = \frac{W t}{π \cdot R^{2}}

Go Total Vertical Load Transmitted to Conical Pivot Bearing for Uniform Pressure

W t = π \cdot {(\frac{D s}{2})}^{2} \cdot p i

How to Evaluate Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure?

Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure evaluator 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 evaluate 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 evaluate Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure using this online evaluator? To use this online evaluator for Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure, enter Coefficient of Friction (μ_f), Load Transmitted Over Bearing Surface (W_t), Outer Radius of Bearing Surface (r₁) & Inner Radius of Bearing Surface (r₂) and hit the calculate button.

FAQs on Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure

What is the formula to find Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure?

The formula of Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure is expressed as 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). Here is an example- 67.65714 = 2/3*0.4*24*(8^3-6^3)/(8^2-6^2).

How to calculate Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure?

With Coefficient of Friction (μ_f), Load Transmitted Over Bearing Surface (W_t), Outer Radius of Bearing Surface (r₁) & Inner Radius of Bearing Surface (r₂) we can find Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure using the formula - 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).

What are the other ways to Calculate Total Torque?

Here are the different ways to Calculate Total Torque-

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

Can the Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure be negative?

Yes, the Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure, measured in Torque can be negative.

Which unit is used to measure Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure?

Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Frictional Torque on Truncated Conical Pivot Bearing by Uniform Pressure can be measured.

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