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Unformatted text preview: Physics of Mechanics PH-110 The Propagation of Uncertainties Introduction: The purpose of this experiment is to investigate how uncertainties in measured quantities influence the uncertainties in a calculated quantity. Often the thing that you are trying to determine in the laboratory can not be measured directly but has to be calculated from other measured quantities. We need to know how to determine the uncertainty in our final result from the uncertainties in our measured quantities. Using a simple pendulum we will determine the value of the acceleration due to gravity. The period T and the length L of a simple pendulum are related by T = 2π √( L/ g). This relationship is actually only true for a simple pendulum, which is an idealization consisting of a point mass m suspended by means of a massless, non-strechable string of length L from a frictionless pivot. In addition, the amplitude θ of the oscillation (maximum angle that the pendulum is displaced from vertical) must be very small. (maximum angle that the pendulum is displaced from vertical) must be very small....
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- Spring '06
- mechanics, pendulum bob