Starting with a tone having a frequency of 5120 cycles per second, find the frequencies of the tones that are one, two, three, and four octaves lower. ... What is the frequency of the tone that is one octave lower than 5120 cycles per second? cycles per second What is the frequency of the tone that is two octaves lower than 5120 cycles per second? cycles per second What is the frequency of the tone that is three octaves lower than 5120 cycles per second? cycles per second What is the frequency of the tone that is four octaves lower than 5120 cycles per second? cycles per second
Starting with a tone having a frequency of 5120 cycles per second, find the frequencies of the tones that are one, two, three, and four octaves lower. ... What is the frequency of the tone that is one octave lower than 5120 cycles per second? cycles per second What is the frequency of the tone that is two octaves lower than 5120 cycles per second? cycles per second What is the frequency of the tone that is three octaves lower than 5120 cycles per second? cycles per second What is the frequency of the tone that is four octaves lower than 5120 cycles per second? cycles per second
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 5T: A commuter must Lrae1 from Ajax to Barrie and back every day. Four roads join the two cities. The...
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![**Problem Statement:**
Starting with a tone having a frequency of 5120 cycles per second, find the frequencies of the tones that are one, two, three, and four octaves lower.
---
**Questions:**
1. What is the frequency of the tone that is one octave lower than 5120 cycles per second?
- [ ] ______ cycles per second
2. What is the frequency of the tone that is two octaves lower than 5120 cycles per second?
- [ ] ______ cycles per second
3. What is the frequency of the tone that is three octaves lower than 5120 cycles per second?
- [ ] ______ cycles per second
4. What is the frequency of the tone that is four octaves lower than 5120 cycles per second?
- [ ] ______ cycles per second
---
**Explanation:**
To find the frequencies of tones that are one, two, three, and four octaves lower than 5120 cycles per second, you need to understand the relationship between octaves and frequency. Each octave lower halves the frequency of the original tone.
Therefore:
- One octave lower: \( \frac{5120}{2} \) cycles per second
- Two octaves lower: \( \frac{5120}{4} = \frac{5120}{2^2} \) cycles per second
- Three octaves lower: \( \frac{5120}{8} = \frac{5120}{2^3} \) cycles per second
- Four octaves lower: \( \frac{5120}{16} = \frac{5120}{2^4} \) cycles per second](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95aecd87-a070-4b0b-a7ff-c56a59581864%2F8ede5e11-2e51-4da2-952b-001212539328%2Fm8snbsa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Starting with a tone having a frequency of 5120 cycles per second, find the frequencies of the tones that are one, two, three, and four octaves lower.
---
**Questions:**
1. What is the frequency of the tone that is one octave lower than 5120 cycles per second?
- [ ] ______ cycles per second
2. What is the frequency of the tone that is two octaves lower than 5120 cycles per second?
- [ ] ______ cycles per second
3. What is the frequency of the tone that is three octaves lower than 5120 cycles per second?
- [ ] ______ cycles per second
4. What is the frequency of the tone that is four octaves lower than 5120 cycles per second?
- [ ] ______ cycles per second
---
**Explanation:**
To find the frequencies of tones that are one, two, three, and four octaves lower than 5120 cycles per second, you need to understand the relationship between octaves and frequency. Each octave lower halves the frequency of the original tone.
Therefore:
- One octave lower: \( \frac{5120}{2} \) cycles per second
- Two octaves lower: \( \frac{5120}{4} = \frac{5120}{2^2} \) cycles per second
- Three octaves lower: \( \frac{5120}{8} = \frac{5120}{2^3} \) cycles per second
- Four octaves lower: \( \frac{5120}{16} = \frac{5120}{2^4} \) cycles per second
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