An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Analyze the note frequencies for each beat.
Compare consecutive beats to identify where the frequency decreases.
The musical frequency decreases between beat numbers 6 and 7.
The answer is 6 , 7
Explanation
Analyze the Problem We are given a table that shows the relationship between the beat number and the note frequency in Hertz (Hz). Our goal is to identify between which beat numbers the musical frequency of the notes is decreasing. This means we need to look for instances where the frequency at a later beat is lower than the frequency at an earlier beat.
Identify Decreasing Frequency Let's examine the frequencies for each beat:
Beat 2: 261.6 Hz
Beat 3: 392.0 Hz
Beat 4: 392.0 Hz
Beat 5: 444.0 Hz
Beat 6: 444.0 Hz
Beat 7: 392.0 Hz
Now, let's compare consecutive beats to find where the frequency decreases:
From Beat 2 to Beat 3: 261.6 Hz to 392.0 Hz (increases)
From Beat 3 to Beat 4: 392.0 Hz to 392.0 Hz (no change)
From Beat 4 to Beat 5: 392.0 Hz to 444.0 Hz (increases)
From Beat 5 to Beat 6: 444.0 Hz to 444.0 Hz (no change)
From Beat 6 to Beat 7: 444.0 Hz to 392.0 Hz (decreases)
Determine the Answer We observe that the musical frequency decreases between beat numbers 6 and 7.
Examples
Understanding frequency changes in music can help in music composition and arrangement. For example, knowing when frequencies decrease can help a composer create a sense of resolution or relaxation in a musical piece. Analyzing frequency patterns can also be useful in audio engineering for tasks such as identifying and correcting frequency imbalances in recordings. This problem demonstrates a simple application of data analysis in a musical context.
The total charge delivered by a current of 15.0 A over 30 seconds is 450 C. This corresponds to approximately 2.81 x 10^21 electrons flowing through the device. Each electron carries a charge of about 1.6 x 10^-19 C, allowing us to calculate the total number of electrons (n).
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