What is the maximum acceleration in horizontal direction without spilling water from the glass
What is the maximum acceleration in horizontal direction without spilling water from the glass
(OP)
- Cup size : Bottom face Dia.50mm, Height 150mm, Top face Dia.100mm
- Fluid : water 0.5 kg
- Fluid : water 0.5 kg
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
1 - For the stationary case (gravity force but no horizontal acceleration), determine what angle could you tilt the glass without spilling.
2 - What level of horizontal acceleration when vectorially combined with gravity "acceleration" will give a total acceleration in a direction that satisfies the angle of tilt calculated in part 1.
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(2B)+(2B)' ?
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
this isn't for work, right, so discouraged at the "for work" site.
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RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
why do your specs care about water spilling out of a polystyrene cup ? unless you've calibrated your actual operation to water in a coffee cup ...
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RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
https://www.bing.com/search?q=tak+fluid+sloshing+n...
Get a cup of coffee,
Walt
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
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RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
TTFN (ta ta for now)
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RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
Maybe look at what sushi restaurants do for their revolving conveyor of food....
Or restaurants when you place the tray on a moving conveyor.
I think though this is the sort of thing that needs some experimentation as there seem to be many variables involved (weight of the cup, friction, how full the cup is, whether a truly "smooth start / stop can be applied ( see flywheel issue below) final speed of the conveyor etc)
You probably need a big flywheel on the motor drive so that it can't accelerate or decelerate very quickly.
How fast does the conveyor go when it reaches max speed?
Is there an issue in doing this ramp up / down over 10 seconds, or 20 or 30?
Remember - More details = better answers
Also: If you get a response it's polite to respond to it.
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
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RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
and the taper of the cup is going to mess things some (but nothing a bit of math won't solve)
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RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
TTFN (ta ta for now)
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RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
Yes you will have a max acceleration, but how quickly it changes matters more in this case.
= = = = = = = = = = = = = = = = = = = =
P.E. Metallurgy, consulting work welcomed
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
what constrains the water to have the same CL when deflected ? is the volume above = the volume below the original water level ? doesn't look like it (if the center stays in the same place.
we know the initial freeboard, we know the initial empty volume of the cup. This is still the empty volume with the water tilted.
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RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
Water surface divides the volume above lowest surface point in 2 equal halves.
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RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
Engineers, think what we have done to the environment !https://www.linkedin.com/in/goutam-das-59743b30/
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
The simple method first-order acceleration test is to put a glass on a slope of the same material as the conveyor belt and tilt it until it falls over.
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
another day in paradise, or is paradise one day closer ?
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
Engineers, think what we have done to the environment !https://www.linkedin.com/in/goutam-das-59743b30/
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
https://www.mathsisfun.com/geometry/ellipse-perime...
With a cylinder this is a trivial calculation; on a cone, not so much.
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
Water density doesn't matter if all you are concerned about is where the liquid reaches the lip of the cup. All liquids will have a surface normal to the local acceleration.
So, since those dimensions must be the inside of the cup you should be able tip the cup so the water just reaches the lip and the tangent of that angle is the ratio of horizontal acceleration to vertical acceleration that will reach that point.
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
I think the critical case was identified by 3DDave ... when does the acceleration vector become unstable ... move beyond the footprint of the cup. If we have an initial water level of 124mm then the CG height is roughly 62mm, and the base radius is 25mm. so an acceleration of 25/62, approx .5g, would be close to tip over the cup. Yes, I know it'll be more than that as we need the contact pressure at the other side of the cup to go to zero (from the static pressure). But this seems to be much lower than the estimates of the water surface (which seem to be about 1g).
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RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
Simply vary the angle until the volume becomes 500cc (same as 0.5kg of water)
Angle is apx 28.5 degrees
Now find the CG (another CAD feature) and drop a line perpendicular to the fluid surface.
CG line is significantly to the left of the cup edge, therefore the cup will tip over before it spills. However, if the cup were somehow glued to the conveyor, the acceleration is tan(28.5)g
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
Lately I have some free time so I decided to' Go back to School'.
The following are from Schaum's Outlines-Fluid Mechanics:
Now refer the original figure posted by me.
@handleman, thank you for the info. Yes it can be done with CAD. But I was looking for a formula to put it into an equation.
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RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
https://keisan.casio.com/exec/system/1483681473176...
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
The numerical solution was done in Matlab using fzero() function.
Engineers, think what we have done to the environment !https://www.linkedin.com/in/goutam-das-59743b30/
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
RE: What is the maximum acceleration in horizontal direction without spilling water from the glass
Keith Cress
kcress - http://www.flaminsystems.com