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$\bullet$ The graph shown in Figure 11.36 closely approximates the displacement $x$ of a tuning fork as a function of time $t$ as it is playing a single note. What are (a) the amplitude, (b) period, (c) frequency, and (d) angular frequency of this fork's motion?

a) 0.4 $\mathrm{mm}$b) 2 $\mathrm{ms}$c) 500 $\mathrm{Hz}$d) 3141.59 $\mathrm{rad} / \mathrm{s}$

Physics 101 Mechanics

Chapter 11

Elasticity and Periodic Motion

Equilibrium and Elasticity

Periodic Motion

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in this problem, we have a curve that looks something like this. We need to identify the amplitude, the period, the frequency and angular frequency. The easiest to spot right away is the amplitude, because it's the distance of the maximum peak to the X axis. Here, looking at the graph, we see that the amplitude is 0.4 millimeters and then converting this into meters. Give 0.0 four meters, converting from El meters, two meters. And so that's the answer to party, Herbie. As for the period, which is the time it takes to do a complete cycle. So if we start at the top here, we need to go all the way down. At this point, we haven't done a full cycle because we got to get back up to the top again. So it's the time to go from here all the way over here. So is the seconds it takes for that tap. We can't the graph. We see that he is equal to two milliseconds and then converting this in the seconds get 0.2 seconds. And so that's answer pervy Percy. As for the frequency which is the inverse of the period, and in blocking this into their gives 500 hertz and then D asked for the angular frequency, which is to pi times f. Someone's playing 500 in there. We get 3,142 radiance per second and then

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