Tagged With "Exponentially"

Topic

Negative Exponentially Damped Harmonic Motion from a PocketLab Pendulum

Rich ·
This experiment allows one to do a quantitative investigation of the damped harmonic motion of a swinging pendulum. The pendulum is a piece of wood about a yard long from a Michael's hobby shop one end of which has been attached to a PocketLab by a rubber band. The other end is taped to the top of a doorway, allowing the resultant pendulum to swing back-and-forth as shown in the image below. The y-axis is perpendicular to the XZ plane of the swinging pendulum. Therefore, the main item of...
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Using PocketLab to Investigate Newton's Law of Cooling

Rich ·
In this experiment students will use PocketLab to collect data related to the cooling of a container of hot water as time goes on. Sir Isaac Newton modeled this process under the assumption that the rate at which heat moves from one object to another is proportional to the difference in temperature between the two objects, i.e., the cooling rate = -k*TempDiff. In the case of this experiment, the two objects are water and air. Newton showed that TempDiff = To * exp(-kt), where TempDiff is the...
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