Torque for rotating table

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Discussion Overview

The discussion revolves around calculating the torque required to rotate a work table, specifically in the context of a customer using a gearbox with limited information about the setup. Participants explore various methods and considerations for estimating torque without knowing the center of gravity.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions whether torque can be calculated by treating the rotating portion as a solid cylinder, considering the moment of inertia and acceleration.
  • Another participant emphasizes the importance of friction, suggesting that the torque needed may primarily be to overcome frictional torque if speed is not a concern.
  • A suggestion is made to measure the torque required to rotate the table by adding a long lever to it.
  • One participant proposes looking up the maximum ergonomic torque an average worker can apply with the 11" wheel to determine a practical maximum output torque.
  • A later reply outlines a straightforward calculation method for torque, including the fundamental equation for rotational mass and factors such as friction and inertia from various components.
  • There is a humorous suggestion that if the customer remains uncooperative, an exaggerated torque requirement could be stated.

Areas of Agreement / Disagreement

Participants express differing views on the best approach to estimate torque, with no consensus on a single method or solution. The discussion remains unresolved regarding the specific calculations and assumptions needed.

Contextual Notes

Limitations include the lack of information about the center of gravity, the height of the mass center, and the speed at which the table should turn. The discussion also highlights the need to consider friction and other factors that may affect torque calculations.

SevenToFive
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Is there a way to figure out the torque needed to rotate a work table without knowing the center of gravity?
I have a customer who wants to use a 40:1 ratio gearbox to rotate a work station, the gearbox would have an 11" wheel on the input shaft for the operator to turn. However the information that the customer has provided is rather limited as most of his answers are "it's proprietary". What I do know is the largest diameter of the fixture and the part being worked on is 40inches. The length is 83inches and has a weight of 930 pounds.
Since I am rather limited on information, I was wondering if I could calculate the torque by treating the rotating portion as a solid cylinder, and calculate the moment of inertia, and acceleration?

Thanks to everyone who replies for the help.
 
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I assume there is no change in height of the mass centre.
You do not specify how quickly it is to turn.
If time is not an issue then the key question is the friction. The torque needed is little more than that needed to overcome frictional torque.
 
Try adding a long lever to the existing table (scaffolding pole?) and measuring the torque required to rotate it?
 
Lookup the maximum ergonomic torque that an average worker can apply with the 11" diameter wheel and that plus a bit more will determine the practical maximum output torque that can result. If a worker cannot turn the wheel, then the the amount of resisting torque is irrelevant.
 
Could you add a top view photo of the workstation?
 
The calculation method is straightforward. I assume your worktable surface is parallel to the floor and no tilt is involved. If not, you must include gravity effects.

Torque required is "max torque" or "peak torque" needed to accelerate the rotational mass inertia.
Fundamental equation for rotational mass is T = Jα. (analogous to F=ma for translational masses)
T = peak torque, J = mass moment of inertia, α = angular acceleration of the inertia J.
J = sum of the inertias (J-Table + J-Workpiece + J-AnyThingElse). Estimate the workpiece inertia from primitives found in a dynamics reference or internet (cylinders, cubes, etc.)
α ≈ Δω / Δt
Δω = max rotational velocity - starting rotational velocity
Δt = time required to change rotational velocities
Add additional torque "fudge factors" for friction, windage, odd-shaped workpiece inertias, anything else you can think of. Torque is cheap, use plenty of it.

If, after all of that, your customer continues to be uncooperative and say "it's proprietary" then tell them it will require 43.791 Kazillion lbf-ft or N-m of torque to turn his load.
 

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