Vertical rise of liquid at the back of a linearly accelerating tank....

In summary, the vertical rise of liquid at the back of a linearly accelerating tank is caused by the inertia of the liquid and is directly affected by the acceleration of the tank. The shape and size of the tank can also impact the height of the liquid rise. The vertical rise of liquid can be controlled by adjusting the tank's acceleration or using baffles. While it is typically not a safety concern, caution should be taken when accelerating at high rates to prevent potential harm.
  • #1
hotjohn
71
1

Homework Statement


why the vertical rise of the surface is given by the formula as shown in the notes ? shouldn't it = Δs =
(g +az ) Δx / ax ?

Homework Equations

The Attempt at a Solution

 

Attachments

  • 0006.png
    0006.png
    124.9 KB · Views: 348
Physics news on Phys.org
  • #2
hotjohn said:
(g +az ) Δx / ax ?
No, it can't be that. Consider ax=0.
How did you arrive at that?
 
  • #3
Another issue is that your expression is dimensionally inconsistent.
 
  • #4
gleem said:
Another issue is that your expression is dimensionally inconsistent.
No, I don't think so. az is supposed to be az, an acceleration, etc.
 

Related to Vertical rise of liquid at the back of a linearly accelerating tank....

1. What causes the vertical rise of liquid at the back of a linearly accelerating tank?

The vertical rise of liquid at the back of a linearly accelerating tank is caused by the inertia of the liquid. As the tank accelerates forward, the liquid inside the tank will continue to move in its original direction, causing it to rise at the back of the tank.

2. How does the acceleration of the tank affect the height of the liquid rise?

The acceleration of the tank directly affects the height of the liquid rise. The greater the acceleration, the higher the liquid will rise at the back of the tank. This is because a higher acceleration results in a greater force acting on the liquid, causing it to rise more.

3. Does the shape or size of the tank impact the vertical rise of liquid?

Yes, the shape and size of the tank can impact the vertical rise of liquid. A narrower and taller tank will cause the liquid to rise higher compared to a wider and shorter tank. This is due to the difference in surface area and volume of the tank, which affects the distribution of force on the liquid.

4. Can the vertical rise of liquid be controlled in a linearly accelerating tank?

Yes, the vertical rise of liquid can be controlled by adjusting the acceleration of the tank or by using baffles. Baffles are vertical plates placed inside the tank to disrupt the flow of liquid and reduce the height of the liquid rise. The placement and number of baffles can be adjusted to control the vertical rise of liquid.

5. Is the vertical rise of liquid at the back of a linearly accelerating tank a concern for safety?

In most cases, the vertical rise of liquid at the back of a linearly accelerating tank is not a safety concern. However, if the tank is accelerating at a very high rate, it can cause the liquid to splash out of the tank and potentially cause harm. It is important to carefully consider the acceleration rate and take necessary precautions to prevent any safety hazards.

Similar threads

  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
990
  • Introductory Physics Homework Help
Replies
9
Views
2K
  • Introductory Physics Homework Help
Replies
12
Views
1K
  • Introductory Physics Homework Help
Replies
20
Views
3K
  • Introductory Physics Homework Help
Replies
12
Views
863
  • Introductory Physics Homework Help
Replies
11
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
6
Views
1K
Back
Top