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GBK Precalculus Jordan Johnson

GBK Precalculus Jordan Johnson. Today’s agenda. Greetings Intro Problem Lesson: Harmonic Analysis Classwork / Homework Clean-up. A submarine. Sonar Analysis. x - axis represents time in seconds Q: Whose submarine generated this noise?. AC Frequency & Voltage Worldwide. Other notes:.

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GBK Precalculus Jordan Johnson

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  1. GBK PrecalculusJordan Johnson

  2. Today’s agenda • Greetings • Intro Problem • Lesson: Harmonic Analysis • Classwork / Homework • Clean-up

  3. A submarine

  4. Sonar Analysis • x-axis represents time in seconds • Q: Whose submarine generated this noise?

  5. AC Frequency & Voltage Worldwide

  6. Other notes: • US subs also have some generators operating at approx. 400Hz • (Hz = cycles per second) • Russian & Chinese subs also have equipment operating at approx. 300Hz.

  7. Sonar Analysis

  8. General characteristics • If the amplitude varies, it’s a product of sinusoids. • The sinusoid with the larger period gives an envelope curve that encloses the entire wave. • (Assume for now that one of the components has amplitude = 1.) • If the sinusoidal axis varies, it’s a sum of sinusoids. • The sinusoid with the larger period gives the (varying) sinusoidal axis.

  9. General procedure • Determine if it’s a product or sum. • Find the period & amplitude of the larger component. • Sketch the envelope or axis curve. • Find the period & amplitude of the smaller component. • It helps to count the number of smaller component’s cycles in one cycle of the larger curve. • Write separate and combined equations.

  10. Homework • From Section 5-3, do: • Exercises 14, 17-33 odd, 36. • Bonus: 41. • From Section 5-4, do: • Reading Analysis questions • Exercises Q1-Q10 • Exercises 1, 3, 5. • Due Friday, 2/11.

  11. Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and side tables). • See you tomorrow!

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