Springs and Period of Oscillation

Try this

Using the Accelerometer tool, record the period of oscillation of your smartphone when attached to a vertical spring. Determine the graphical and mathematical relationship between mass and period of the spring. (If a spring is not available, a set of uniform rubber bands will suffice). Known masses can be attached to the mobile device, and additional objects can be massed using a balance. Determine the effect of using different uniforma sets of rubber bands.

Challenge yourself

• Create a graph of Period vs. Math, and derive a mathematical expression for this relationship.
• If there are any constants in these mathematical expressions, explain their significance.
• The “type” of spring affects the quantitive relationship of mass and period by a factor known as the “spring coefficient.” Do thicker, stiffer rubber bands results in a higher or lower spring coefficient? Explain how you know.
• Predict the unit(s) associated with the spring coefficient by doing unit analysis. Explain.