What is the period of the pendulum in our science faculty building A? Measure th

Question

What is the period of the pendulum in our science faculty building A? Measure the period with a 1% error. You need to measure the total time needed for more than 100 oscillations to obtain an accurate value. You can find the period by dividing the total time to the number of oscillations. Use this number to find the length of the pendulum. As you may well know, the pendulum in Science Faculty does have a driving mechanism. If there were no drive mechanism it typically loses half of its energy to friction in around one hour. Design a mechanical, electrical or some other means of driving mechanism, so that the pendulum will work continuously. How much rotation (in degrees) do you expect in 1 hour?

Explanation / Answer

The period is essentially the DIFFERENCE in the time points where the full wave crosses the zero amplitude (position) axis. A full wave is the complete oscillation back and forth (positive/negative amplitude or deflection and negative/positive amplitude/deflection) Suppose you have y = sin (?t) where y = amplitiude (deflection from zero on horizontal-axis) t = time point (on time axis, which is horizontal axis) ? = frequency of wave You want to know where y = 0 along all time points. These would be for y = sin (0) y = sin (p) y = sin (2p) and so on. The full wave for this equation is from sin (0) to sin (2p), because when you plot it, you see a positive half-wave and then a negative half-wave (the full wave). So now the period is: 0 = ?t (start point) t = 0 for this solution. 2p = ?t (end point) t = 2p/? So the period is (2p/? - 0) = 2p/?

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