The discussion revolves around calculating the velocity of a propelled object using Bernoulli's equation, specifically in the context of a container filled with water and pressurized air. Participants are exploring the dynamics of thrust generated by the expulsion of water and air through an opening in the container.
The discussion is ongoing, with participants providing clarifications and hints regarding the application of Bernoulli's equation. There is an acknowledgment of the complexity of the problem, and some participants are expressing uncertainty about the calculations involved.
Participants are working within the constraints of a specific problem involving a container with defined volume and pressure conditions. There are assumptions being made about the system, such as the water covering the hole and the exclusion of aerodynamic effects.
Can you clarify? What exactly is the problem you are trying to solve?pavadrin said:is there a formula which i can use to determine the the velocity of an object propelled by a gas under compression and a fluid?
The thrust is given by dp/dt = vdm/dt where dm/dt is the time rate of change of mass of the system.pavadrin said:Im given a conatainer at a set volume, with an amount of water which is given to me, both in volume and mass. I need to work out the amount of thrust which this vessel could expel, exculding the aerodynamics of the vessel.
thanks
Assume that the water covers the hole. What is the speed at which water will be ejected through the hole? (Hint: look up Bernouilli's equation). Then determine the rate at which mass (water) leaves the container. Then just use F = dp/dt = vdm/dt to determine the thrust.pavadrin said:okay the problem is as follows:
In a container with the volume of 1.5L, 500mL of water is introduced, as well as 100psi of air pressure. Calculate the amount of thrust this vessel will be able to provide if the air and water is allowed to escape through a 5mm opening.
thanks Andrew Mason, ill shall look up the suggested equation and then re-post if i encounter more problems.Andrew Mason said:Assume that the water covers the hole. What is the speed at which water will be ejected through the hole? (Hint: look up Bernouilli's equation). Then determine the rate at which mass (water) leaves the container. Then just use F = dp/dt = vdm/dt to determine the thrust.
AM