- #1
bobblehead
Homework Statement
Homework Equations
τ= η* (dv/dy)
The Attempt at a Solution
so
dA= 2π* r * dr
T = ∫ τ * r * dA
T = ∫((0.01* r* 2*π * 450 /60)/(5*10^-3) ) * r * 2π* r *dr
= (592.1762)*(r^4/4)
T = 0.11 Nm
is this correct?
Finding torque in rotating cylinder (viscosity )
- Thread starter bobblehead
- Start date
In summary, torque in a rotating cylinder is affected by the viscosity of the fluid inside. Viscosity is a measure of a fluid's resistance to flow, and in a rotating cylinder, it creates a shearing force that opposes the motion of the cylinder. This results in a decrease in the angular velocity of the cylinder. The amount of torque generated by this viscosity is dependent on the size and shape of the cylinder, as well as the properties of the fluid such as its density and viscosity. Calculating and understanding the torque in a rotating cylinder is crucial in various fields, including engineering and fluid mechanics.
τ= η* (dv/dy)
so
dA= 2π* r * dr
T = ∫ τ * r * dA
T = ∫((0.01* r* 2*π * 450 /60)/(5*10^-3) ) * r * 2π* r *dr
= (592.1762)*(r^4/4)
T = 0.11 Nm
is this correct?
- #2
- 41,395
- 9,870
I think it is more complicated than that. There is a velocity gradient not only horizontally but also down the slope of the rotating cone.
What is torque in a rotating cylinder?
Torque is the measure of the force that causes an object to rotate around an axis. In the case of a rotating cylinder, it is the force that causes the cylinder to spin.
How is torque calculated in a rotating cylinder?
In a rotating cylinder, torque is calculated by multiplying the force applied to the cylinder by the distance from the axis of rotation to the point where the force is applied. This is known as the moment arm.
What is the role of viscosity in calculating torque in a rotating cylinder?
Viscosity refers to the resistance of a fluid to flow. In the case of a rotating cylinder, the viscosity of the fluid inside the cylinder affects the amount of friction and therefore the amount of torque required to rotate the cylinder.
What factors affect the amount of torque in a rotating cylinder?
The amount of torque in a rotating cylinder is affected by several factors such as the force applied, the distance from the axis of rotation, the speed of rotation, and the viscosity of the fluid inside the cylinder.
How can torque in a rotating cylinder be measured experimentally?
To measure torque in a rotating cylinder experimentally, a torque sensor or a dynamometer can be used. These devices measure the amount of force and the distance from the axis of rotation, and calculate the torque based on these measurements.
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