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Chapter 13: Problem 17

A violin string playing the note \(\Lambda\) oscillates at \(440 \mathrm{Hz}\). What's its oscillation period?

Short Answer

Expert verified
The oscillation period of the violin string playing the note \(\Lambda\) is approximately 0.00227 seconds.

Step by step solution

01

Understand the Concept of Oscillation Period

The oscillation period (T) of a wave is the time taken for one complete cycle of vibration to pass a given point. It is typically measured in seconds. The period of oscillation is the reciprocal (or inverse) of the frequency (f) of the wave, which can be written as T = 1/f.
02

Substitute the given Frequency into the Formula

The frequency (f) given in the exercise is 440 Hz. Substitute this into the formula T = 1/f to find the period of oscillation. This yields T = 1/440 Hz.
03

Calculate the Oscillation Period

Perform the calculation to find the period of oscillation. Note that because frequency is measured in units of inverse seconds (Hz or s^-1), the period will be measured in seconds. Performing the calculation T = 1/440 Hz = 0.00227 seconds.

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Most popular questions from this chapter

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