Area, volume and depth relation?

In summary, to find the depth of water collected by a raingauge with a known orifice area and volume, use the formula V = A*h, where V is the volume, A is the orifice area, and h is the depth of water. It is important to note that the shape of the raingauge may affect the accuracy of this calculation and more information, such as the diameter of the top and cylinder, may be needed for a more precise measurement.
  • #1
HelloMotto
74
0
Area, volume and depth relation?
Im given a object, which is a raingauge orifice. it has an area of a certain value. This object collects x amount of water. How do i find a depth from these given values?

Is there a formula for calculating depth?
 
Physics news on Phys.org
  • #2
HelloMotto said:
Area, volume and depth relation?
Im given a object, which is a raingauge orifice. it has an area of a certain value. This object collects x amount of water. How do i find a depth from these given values?

Is there a formula for calculating depth?
I think we need more information. Most raingauges I have seen look like a funnel that feeds rainwater into a glass or plastic cylinder with graduated markings. The idea is that the funnel collects rain water over a relatively large cross-sectional area, and feeds into a cylinder with a smaller cross section. This makes it easier to measure a rainfall of, say .01 inch.

If the raingauge you're talking about is something like what I've described, we need to know the diameter of the top at its widest part and the diameter of the cylinder.
 
  • #3
im not given any dimensions. All i get in the question is the orifice area and that it collects certain volume of rain water over a period of time.
 
  • #4
OK, assuming the gauge is a cylinder (not necessarily round), volume is related to the orifice area and height of the gauge by this formula: V = A*h.
 

Related to Area, volume and depth relation?

1. What is the formula for calculating the area of a 2D shape?

The formula for calculating the area of a 2D shape is different for different shapes. For example, the area of a rectangle is calculated by multiplying its length by its width, while the area of a circle is calculated by multiplying pi (3.14) by the square of its radius.

2. How is volume related to depth?

Volume is a measure of the amount of space occupied by a 3D object. Depth, on the other hand, refers to the distance between the highest and lowest points of an object. The volume of an object is directly related to its depth, as an increase in depth will result in an increase in volume.

3. How is the depth of a body of water determined?

The depth of a body of water can be determined using various methods such as sonar, depth sounders, and echo sounders. These devices emit sound waves that bounce off the bottom of the water body and return to the device, allowing for the measurement of the depth.

4. What is the relationship between area and volume?

Area and volume are two different measures of space. Area is the measure of the surface of a 2D object, while volume is the measure of the space occupied by a 3D object. In general, an increase in area does not necessarily result in an increase in volume, as it depends on the shape and dimensions of the object.

5. How do I convert between units of area, volume, and depth?

To convert between units of area, volume, and depth, you can use conversion factors or conversion equations. For example, to convert from square meters (m²) to square feet (ft²), you can multiply the value in square meters by 10.764. Similarly, to convert from cubic meters (m³) to cubic feet (ft³), you can multiply the value in cubic meters by 35.315.

Similar threads

  • Precalculus Mathematics Homework Help
Replies
7
Views
2K
  • Electrical Engineering
Replies
6
Views
387
  • Precalculus Mathematics Homework Help
Replies
1
Views
860
  • Introductory Physics Homework Help
Replies
9
Views
248
  • Astronomy and Astrophysics
Replies
3
Views
847
  • Introductory Physics Homework Help
Replies
11
Views
482
  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Precalculus Mathematics Homework Help
Replies
2
Views
1K
Replies
1
Views
1K
  • Precalculus Mathematics Homework Help
Replies
7
Views
2K
Back
Top