an ac waveform interms **of** its components, **a** fundamnetal **of** **frequency** 120 Hz, amplitude 100V rms, **a** thrid **harmonic** 20% **of** **the** fundamental, **a** **5th** **harmonic** 10% **of** **the** fundamental with lagging phase **of** 1.2 radians

If yes, **the** fundamental **frequency** is
Using **the** velocity from part b,
**The** length **of** **the** pipe is It finds **the** formula for **the** **harmonic** frequencies (fn) for **a** pipe open **at** only one end.

**The** string is observed to form **a** standing wave with three antinodes when driven **at** **a** **frequency** **of** 440 .
Part **A**
What is **the** **frequency** **of** **the** fifth **harmonic** **of** this string?

Answer 1(**a**):
Fundamental **frequency** f0= 2000 Hz, so fundamental sine wave is :
s(t)= 5 sin (2Ð¿2000t)
**The** other 5 odd harmonics are as follows:
3rd **harmonic** freq= 3 x f0 = 6000Hz
**5th** **harmonic** freq = 5x f0 = 10kHz
7th **harmonic** freq = 7x

level = -13.4 dBm is equivalent to **a** voltage **of** amplitude **of** Sqrt{10.power{-1.34}} or 0.21 mV
**5th** & further **harmonic** term levels =< -18 dBm is equivalent to **a** voltage **of** amplitude **of** Sqrt{10.power{-1.8}} or =< 0.125 mV
Note that **the** 3rd **harmonic**

From (1) and (2) we note that **the** **frequency** **at** L = 0.08 m is three times that **at** L = 0.24 m. Hence, **the** **frequency** **at** L = 0.24 m must be **the** fundamental **frequency** and that **at** L = 0.08 m **the** third **harmonic**.

471703 Simple **Harmonic** Motion **Frequency** Simple **Harmonic** Motion **Frequency** Please see attachment.
Question - Simple **Harmonic** Motion
**A** body moving with Simple **Harmonic** Motion with **a** **frequency** **of** 3Hz has **a** maximum velocity **of** 2.5m/s.

**At** 5000 feet, **the** air pressure is lower than that **at** sea level. Hence, boiling temperature **at** 5000 ft is lower than that **at** sea level.
2. **The** **frequency** **of** **the** second **harmonic** **of** **a** wave is 1000 Hz. What is **the** **frequency** **of** **the** third **harmonic**?

Waves and Sound
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(**a**) **A** vibrating stretched string has length 38 cm, mass 25 grams and is under **a** tension **of** 30 newtons. What is **the** **frequency** to **the** nearest Hz **of** its 3rd **harmonic**?

If **the** **frequency** **of** **the** third **harmonic** **of** **the** vibrating string is 600 Hz, what is **the** **frequency** **of** **the** first **harmonic**?
Answer:
Third **harmonic** has **a** **frequency** three times **of** **the** first **harmonic** or **the** fundamental **frequency**.