1. 5*3 What do you see? (observation/claim/question)

2. 5-3 WDYT Write the question, and TRY to answer it …
5-3 WDYT Write the question, and TRY to answer it ….remember…any THOUGHTFUL answer is ‘correct--

3. 5*3 Notes: Revisiting Sounds in vibrating Strings
Draw AND label a STANDING WAVE
The length of the string = ½ λ
OR 2×length=λ

4. λ is INVERSELY related to the f (pitch)
1. Frequency and Wavelength
Wavelength (λ) = 2× length of string
½ λ = length of string
The higher the pitch, the __greater _ the frequency
The longer the string, the __longer_ the wavelength
λ is INVERSELY related to the f (pitch)

5. Tension is DIRECTLY related to f (pitch)
2. Tension of a String & Frequency
An increase in tension needs a larger force
A larger force will make a greater acceleration
A greater acceleration generates a faster vibration
A faster vibration = A faster velocity
Tension is DIRECTLY related to f (pitch)

6. Mass is INDIRECTLY related to f (pitch)
3. Thickness of a String & Frequency
Thicker strings = Lower frequency and pitch
Heavier mass = smaller acceleration
Slow acceleration = slow velocity
Mass is INDIRECTLY related to f (pitch)

7. VELOCITY is DIRECTLY related to f (pitch)
VELOCITY OF VIBRATION AND PITCH
Wavelength, mass and tension ALL relate back to the SPEED at which an instrument’s string vibrates
VELOCITY is DIRECTLY related to f (pitch)

8. Standing Waves Is There an Equation???
Standing Waves occur when the length of the string and wavelength have a particular relationship
L = (n × λ) λ = (2 × L) n = (2 × L)
n λ
***n = # of antinodes in the standing wave***
(ALL instruments only have 1 antinode!!!)

9. SAMPLE PROB #1
What is the length of the following standing wave, if the wavelength is 10 m?