This page show an easy and reproducible way to calculate the angle of repose of any particle through the fixed funnel technique. This is good if you have limited supplies to calculate the angle of repose.

Angle of Repose for any Particle using the Funnel Technique[edit | edit source]

[1]

What you'll need:

  • Your particle/material (lots of it)
  • A funnel of your choosing
  • A ruler or caliper
  • Piece of paper or paper towel

Step 1: Collect your materials.

Step 2: Measure the inner and outer diameter of the funnel you will be using with either a ruler or a caliper.

Angle of repose 4.jpg

Step 3: Lay out a piece of paper towel or paper in your work-space so the particles are easy to clean up. Begin steadily pouring your particle through the funnel, allowing the pieces to pile. Make sure to keep your funnel at a fixed height.

Angle of repose 1.jpg

Step 4: Once the pile reaches a maximum height (the particles stop piling and start to flow down the side), stop funneling and measure the maximum radius and the height of the pile with a ruler.


Angle of repose 3.jpg

Step 5: The calculation for the angle of repose is the Arctangent of height divided by maximum radius of the pile. Depending on which program you use, you could end up with radians. To convert from radians to degrees, multiple your calculated number by 180 divided by pi.

Angle of Repose for any Particle using the Dish Technique[edit | edit source]

[2]

What you'll need:

  • Your particle/material (lots of it)
  • A petri dish or an elevated surface (can be round or square)
  • A ruler or caliper
  • Piece of paper or paper towel

Step 1: Collect your materials.

Step 2: Measure the radius and height of your petri dish or elevated surface.

Angle of repose 7.jpg

Step 3: Pour your particle onto the petri dish and pile it as high as you can go.

Angle of repose 6.jpg

Step 4: Measure the maximum radius of the pile created and the maximum height found.

Angle of repose 5.jpg

Step 5: The calculation for the angle of repose is the Arctangent of maximum height divided by radius of the pile. Convert from radians to degrees if necessary.

Citations:

  • [1] H. M. Beakawi Al-Hashemi and O. S. Baghabra Al-Amoudi, “A review on the angle of repose of granular materials,” Powder Technol., vol. 330, pp. 397–417, May 2018.
  • [2] M. D. Kurkuri, C. Randall, and D. Losic, “New method of measuring the angle of repose of hard wheat grain,” 2012.
Page data
Published 2019
License CC-BY-SA-4.0
Impact Number of views to this page and its redirects. Updated once a month. Views by admins and bots are not counted. Multiple views during the same session are counted as one. 111
Issues Automatically detected page issues. Click on them to find out more. They may take some minutes to disappear after you fix them. No main image
Cookies help us deliver our services. By using our services, you agree to our use of cookies.