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Introduction to SAT II Physics - FreeExamPapers

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5. C<br />

The relationship between the voltage in a primary coil and in a secondary coil is given by the formula:<br />

Since the primary has an emf of 5.0 V, and the secondary has twice as many turns as the primary, the<br />

secondary has an emf of 10 V.<br />

Waves<br />

WAVE PHENOMENA OCCUR ALMOST anywhere there is periodic motion. We have<br />

already encountered such periodic motion in the back-and-forth movement of pendulums<br />

and masses on a spring and with the cyclic orbits of objects in a gravitational field. The<br />

physics of waves is also central in explaining how light and sound work. Anything from a<br />

violin string <strong>to</strong> a drum skin <strong>to</strong> a wine glass can make a sound, suggesting that there are<br />

few things in the world that cannot produce wave phenomena. We find waves in the air,<br />

in our bodies, in earthquakes, in computers—and, if we’re surfers, at the beach.<br />

Periodic Motion<br />

We’ve already covered some of the basics of periodic motion with our discussion of a<br />

mass on a spring back in Chapter 5. When the end of a spring is stretched or compressed,<br />

the spring exerts a force so as <strong>to</strong> return the mass at its end <strong>to</strong> its equilibrium position.<br />

The maximum displacement of the mass from its equilibrium position during each cycle<br />

is the amplitude of the oscillation. One cycle of periodic motion is completed each time<br />

the spring returns <strong>to</strong> its starting point, and the time it takes <strong>to</strong> complete one cycle is the<br />

period, T, of oscillation. The frequency, f, of the spring’s motion is the number of<br />

cycles it completes per second. A high frequency means each period is relatively short, so<br />

frequency and period are inversely proportional:<br />

Frequency is measured in units of hertz (Hz), where 1 Hz = 1 cycle/second. The unit of<br />

hertz is technically defined as an inverse second (s –1 ) and can be applied <strong>to</strong> any process<br />

that measures how frequently a certain event recurs.<br />

We can summarize all of these concepts in an equation describing the position of the<br />

mass at the end of a spring, x, as a function of time, t:<br />

272

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