**Unformatted text preview: **can also be derived from these equations. V(T) = Aωcos(ωt+0) and a(t) = -Aω^2sin(ωt+o). The energy of the system can also be analyzed since the energy of a spring is ½ kx^2 and kinetic energy is ½ mv^2. This gives Etotal = KE + PE. When expanded and simplified this gives E=1/2kA^2 = constant. So the total energy of a system in simple harmonic motion never changes. In the first part of the experiment the spring constant k will be measured using a force sensor. This is done by hanging a mass of known weight from the system and tracking it with DataStudio and finding k from the graph. The next part of the lab deals with the measurement of period. Find T using DataStudio and smart tool then determine angular velocity. Compare it to the calculated value and determine error. Input these values to view the conservation of energy on the graph. Check to see if the calculated values for total energy match and see if energy is indeed conserved in the system....

View
Full Document

- Fall '08
- CARONE
- Physics, Energy, Kinetic Energy, Mass, Simple Harmonic Motion, Matt Darling