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UYasher
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Homework Statement
There is an air-tight 1L Canister filled with 90% water and 10% N2O. This canister is attached to some clear tubing which is not entirely air-tight. At the end of this tubing are some tungsten particles averaging ~1µm in diameter with total mass of 60mg. The contraption is shaken until the pressure inside the canister is 40-60 bars and then the pressure is released into the tubing, but not all at once, dislodging the tungsten and propelling it towards a target. Your goal is to find a way to determine the speed of the tungsten particles when they hit the target. You may determine the distance of the device from your target and the orientation relative to your target to best suit your method (so long as that distance is less than 1/3 meters).
P.S. Your experiment will be set up and tested in engineering class.
Homework Equations
Bernoulli's Law?
The Attempt at a Solution
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Attempt 1: Shine a light through the tubing at the tungsten and hope it reflects light back. Then use a slow motion camera to see how quickly the particles are traveling. This idea would not work because a) the tungsten might not reflect light when dispersed; b) after discussing it with some other students i determined that the particles might be moving faster than a slow motion camera can capture (300m/s +); c) we don't have a slow motion camera
Attempt 2: After more discussion, we determined that the small mass and size of the particles would make them act similarly to particulate matter in the air. From this I propose a setup where the device is discharged towards a vat of liquid with a pressure gauge in it. We measure the change in pressure when the blast of air hits the liquid and use Bernoulli's Law to find the velocity of the air, which should be equivalent to the velocity of the tungsten.
Would this method work, and if so how would I use Bernoulli's Law to solve for velocity in this scenario?