Torque given Thickness of Oil Solution

STEP 0: Pre-Calculation Summary
Formula Used
Torque Exerted on Wheel = pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius^4-Inner Radius^4)/2*Thickness of Oil*sin(Theta)
τ = pi*μd*ω*(router^4-rinner^4)/2*h*sin(θ)
This formula uses 1 Constants, 1 Functions, 7 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
Torque Exerted on Wheel - (Measured in Newton Meter) - Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
Dynamic Viscosity of Fluid - (Measured in Pascal Second) - Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Outer Radius - (Measured in Meter) - The Outer Radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary.
Inner Radius - (Measured in Meter) - The Inner Radius of any figure is the radius of its cavity and the smaller radius among two concentric circles.
Thickness of Oil - (Measured in Meter) - Thickness of oil is defines as the higher the number, the thicker the oil. The lower the number, the thinner.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
STEP 1: Convert Input(s) to Base Unit
Dynamic Viscosity of Fluid: 0.075 Poise --> 0.0075 Pascal Second (Check conversion here)
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Outer Radius: 7 Meter --> 7 Meter No Conversion Required
Inner Radius: 4 Meter --> 4 Meter No Conversion Required
Thickness of Oil: 55 Meter --> 55 Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τ = pi*μd*ω*(router^4-rinner^4)/2*h*sin(θ) --> pi*0.0075*2*(7^4-4^4)/2*55*sin(0.5235987755982)
Evaluating ... ...
τ = 1389.86022490221
STEP 3: Convert Result to Output's Unit
1389.86022490221 Newton Meter --> No Conversion Required
FINAL ANSWER
1389.86022490221 1389.86 Newton Meter <-- Torque Exerted on Wheel
(Calculation completed in 00.004 seconds)

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12 Applications of Fluid Force Calculators

Torque given Thickness of Oil
Go Torque Exerted on Wheel = pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius^4-Inner Radius^4)/2*Thickness of Oil*sin(Theta)
Normal Stress 1
Go Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Fluid^2)
Normal Stress 2
Go Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Fluid^2)
Shear Stress using Dynamic Viscosity of Fluid
Go Shear Stress in Fluid = Dynamic Viscosity of Fluid*(Velocity of Moving Plate on Liquid)/(Distance between Plates Carrying Fluid)
Dynamic Viscosity of Fluids
Go Dynamic Viscosity of Fluid = (Shear Stress in Fluid*Distance between Plates Carrying Fluid)/Velocity of Moving Plate on Liquid
Distance between Plates given Dynamic Viscosity of Fluid
Go Distance between Plates Carrying Fluid = Dynamic Viscosity of Fluid*Velocity of Moving Plate on Liquid/Shear Stress in Fluid
Dynamic Viscosity of Gases
Go Dynamic Viscosity of Fluid = (Constant A*Temperature^(1/2))/(1+Constant B/Temperature)
Area of Wetted Surface given Total Hydrostatic Force
Go Wet Surface Area = Hydrostatic Force/(Specific Weight 1*Depth of Centroid)
Total Hydrostatic Force
Go Hydrostatic Force = Specific Weight 1*Depth of Centroid*Wet Surface Area
Dynamic Viscosity of Liquids
Go Dynamic Viscosity of Fluid = Constant A*e^((Constant B)/(Temperature))
Friction Factor given Frictional Velocity
Go Friction Factor = 8*(Friction Velocity/Mean Velocity)^2
Torque on Shaft
Go Torque Exerted on Shaft = Force*Shaft Diameter/2

Torque given Thickness of Oil Formula

Torque Exerted on Wheel = pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius^4-Inner Radius^4)/2*Thickness of Oil*sin(Theta)
τ = pi*μd*ω*(router^4-rinner^4)/2*h*sin(θ)

How do you define torque?



Torque is a measure of how much a force acting on an object causes that object to rotate. The object rotates about an axis, which we will call the pivot point, and will label 'O'.

How is oil thickness measured?



The viscosity is typically reported in centistokes (cSt), equivalent to mm2/s in SI units, and is calculated from the time it takes oil to flow from the starting point to the stopping point using a calibration constant supplied for each tube.

How to Calculate Torque given Thickness of Oil?

Torque given Thickness of Oil calculator uses Torque Exerted on Wheel = pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius^4-Inner Radius^4)/2*Thickness of Oil*sin(Theta) to calculate the Torque Exerted on Wheel, The Torque given Thickness of Oil formula is defined as the higher the number, the thicker the oil. The lower the number, the thinner. Thinner oils flow faster than thicker oils, and engineers design engines to work with a certain grade of oil. Torque Exerted on Wheel is denoted by τ symbol.

How to calculate Torque given Thickness of Oil using this online calculator? To use this online calculator for Torque given Thickness of Oil, enter Dynamic Viscosity of Fluid d), Angular Velocity (ω), Outer Radius (router), Inner Radius (rinner), Thickness of Oil (h) & Theta (θ) and hit the calculate button. Here is how the Torque given Thickness of Oil calculation can be explained with given input values -> 1389.86 = pi*0.0075*2*(7^4-4^4)/2*55*sin(0.5235987755982).

FAQ

What is Torque given Thickness of Oil?
The Torque given Thickness of Oil formula is defined as the higher the number, the thicker the oil. The lower the number, the thinner. Thinner oils flow faster than thicker oils, and engineers design engines to work with a certain grade of oil and is represented as τ = pi*μd*ω*(router^4-rinner^4)/2*h*sin(θ) or Torque Exerted on Wheel = pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius^4-Inner Radius^4)/2*Thickness of Oil*sin(Theta). Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied, The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time, The Outer Radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary, The Inner Radius of any figure is the radius of its cavity and the smaller radius among two concentric circles, Thickness of oil is defines as the higher the number, the thicker the oil. The lower the number, the thinner & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Torque given Thickness of Oil?
The Torque given Thickness of Oil formula is defined as the higher the number, the thicker the oil. The lower the number, the thinner. Thinner oils flow faster than thicker oils, and engineers design engines to work with a certain grade of oil is calculated using Torque Exerted on Wheel = pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius^4-Inner Radius^4)/2*Thickness of Oil*sin(Theta). To calculate Torque given Thickness of Oil, you need Dynamic Viscosity of Fluid d), Angular Velocity (ω), Outer Radius (router), Inner Radius (rinner), Thickness of Oil (h) & Theta (θ). With our tool, you need to enter the respective value for Dynamic Viscosity of Fluid, Angular Velocity, Outer Radius, Inner Radius, Thickness of Oil & Theta 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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