Liquid Pressure and Stevin's Law

What is the relationship between pressure and depth below the surface of a liquid?

Try this

Using the Barometer tool, place the smartphone inside of a water-proof case and submerge it under a still container of water. Use a meter stick to measure the depth of the device below the surface. Determine the relationship between pressure and depth for water. Perform the same experiment with different fluids (soap, saturated salt water, oil, alcohol, etc.)

Challenge yourself

  • Create a graph of Pressure vs. Depth for water, and derive a mathematical expression for this relationship.
  • Create additional graphs of Pressure vs. Depth for other fluids, and derive mathematical expressions for these relationships.
  • If there are any constants in these mathematical expressions, explain their significance.
  • Using prior understandings about fluid pressure, determine the density of each fluid studied.