The time for pressure to build up

AI Thread Summary
To determine the time it takes for air pressure in a cylinder to increase to 4 bar, the flow rate must be known, as it directly affects the pressure buildup. The starting pressure is assumed to be atmospheric, but the flow rate can vary based on the pressure difference between the supply line and the cylinder. As the cylinder's pressure rises, the pressure difference decreases, leading to a reduction in flow rate. This dynamic relationship complicates the calculation of time for pressure increase. Without the flow rate, it is impossible to accurately calculate the time required for the pressure to reach 4 bar.
Setareh7796
Messages
9
Reaction score
0

Homework Statement


The volume and dimensions of the cylinder are given, and the air is supplied to the cylinder at 4 bar at room temperature.Is there a way to find out the time it takes for the air pressure in the cylinder to increase to 4 bar?

Homework Equations

The Attempt at a Solution


From my understanding, the flow rate should be given for me to calculate the time it takes, with knowing just the pressure and the volume of the cylinder, it is not possible to calculate the time it takes for pressure to build up.
 
Physics news on Phys.org
What is the starting pressure?
 
Chestermiller said:
What is the starting pressure?
From my understanding, the pressure in the cylinder will be at atmospheric pressure at the start.
 
Are you saying that you know the flow rate, or does it change as a function of the pressure difference between the feed line and the interior of the tank?
 
The flow rate depend on the pressure difference between pump and tank. As the pressure in the tank rises the pressure difference and flow rate falls. What happens as the pressure difference approaches zero?
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Adiabatic Expansion of Pressurized Air in a Piston-Cylinder Setup
Replies
8
Views
2K
What is the relationship between pressure and flow rate?
Replies
8
Views
4K
Trouble solving for end state of two control volumes in a rigid tank
Replies
12
Views
2K
Power output of a intercooler and turbocharger
Replies
1
Views
2K
Pressure Half-Life: 2L vs. 5L Containers
Replies
1
Views
2K
Pressure of a piston cylinder device after heated
Replies
3
Views
3K
How Does Pressure Affect the Buoyancy of a Cylinder?
Replies
2
Views
1K
Atmospheric Pressure on Shaft of piston cylinder assembly
Replies
3
Views
5K
Adiabatic compressed air and energy calculations
2
Replies
60
Views
7K
Calculating Maximum Air and Oxygen Amount in a Breathing Apparatus Cylinder?
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top