Volume, Density and Buoyant Force of a Rectangular Cube

This tutorial demonstrates how to calculate the Volume, Density, and Buoyancy (VDB) of a wooden rectangular cube using Polytech’s SMART:Blox S5 STEM set and the STEM LAB Windows application.

Method

  1. Measuring Weight and Dimensions:
    • Use a force sensor to measure the object’s weight.
    • Use a ruler to measure the object’s physical dimensions (Length, Width, Height).
  2. Recording Data:
    • Input the measurements into the STEM LAB application.
    • Follow the application’s step-by-step instructions to calculate the volume of the object.
  3. Density Calculation:
    • Review the application’s theory on Density.
    • Perform density calculations using the application’s guided steps.
  4. Buoyancy Calculation:
    • Submerge the object in a beaker of tap water.
    • Measure the object’s new weight using the force sensor.
    • Use the application to calculate the object’s buoyancy.

Materials

  • Tap water

Equipment

  • SMART:Blox S5 STEM Set
    • ARD:icon controller
    • Force sensor AFX04
    • UTP cable (x1)
    • USB cable (x1)
  • 50g Wooden rectangular cube with hook
  • String
  • Height-adjustable Retort Stand
  • Ruler
  • 250ml Plastic Beaker
  • Windows PC with STEM LAB software

Resources

Setup instructions

  1. Assemble the height-adjustable retort stand:
    • Connect two metal rods using a boss to form a perpendicular arrangement.
    • Secure the force sensor at the end of the horizontal rod.
  2. Attach the wooden cube mass to the force sensor hook using a string.

Connections

  1. Connect the Force Sensor AFX04 to the ARD:icon’s D3/D4 input socket using the UTP cable.
  2. Use a USB cable to connect the ARD:icon controller to the Windows PC.

Usage Instructions

  1. Open the Polytech STEM LAB application on your PC.
  2. Select “Arduino VDB” and press “Start VDB.”
  3. Click Connect to establish communication with the force sensor.

The screen will display the object’s weight in grams.

  1. Click Next to proceed

In this step we will read theory and calculate the Volume of the mass. Read the instructions on the screen.

  1. Review the theory about Volume displayed on the screen.
  2. Select Rectangular from the drop-down menu for the object’s shape.
  1. Measure the cube’s Length, Width, and Height using the ruler. Input these values into the corresponding fields in the STEM LAB application.
  2. Click Calculate to compute the Volume. Record the result.
  1. Scroll down to review additional theory about volume calculation for various object shapes. Click Next to proceed.

In this step we will read theory about Density.

  1. Read the theory about Density displayed on the screen. Click Next to proceed.

In this step we calculate the Density of the object.

  1. Enter the previously recorded Volume into the field labeled Your Volume is.
  2. Follow the guided steps to calculate the cube’s Density. The application will present the results. Click Next to continue.

In this step we read theory about Buoyancy

  1. Read the theory about Buoyancy displayed on the screen. Click Next to proceed.

In this step we calculate the Buoyancy of the object.

  1. On the screen name Claculate Buoyancy, the field Your Weight merged is presents the calculation of the mass Weight. Click OK to record it and proceed.
  1. Pour 175ml of tap water into the 250ml beaker.
  2. Place the beaker directly under the object.
  3. Adjust the height of the rod holding the force sensor so the object is submerged in water. Ensure the object does not touch the bottom of the beaker.
  1. The field labeled Your Weight submerged is, displays the sensors reading now. Click OK to record the new weight of the submerged object.
  1. The application will calculate and display:
    • The Buoyant Force Difference.
    • The Buoyant Force Ratio.

End of tutorial

Scroll to Top