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part a: On the equally tempered scale, there are 12 notes or steps, each differe

ID: 1616321 • Letter: P

Question

part a:

On the equally tempered scale, there are 12 notes or steps, each different by a factor of 21/12 . After these notes the next one is 2 times the frequency of the one you start with, and this "octave" repeats the pattern again and again. An interval called a "perfect" Fifth has two notes on the ratio of frequencies of 3 to 2. On the equally tempered scale, how many steps are in a Fifth if the starting note is A and the "Fifth" is E? What is the actual ratio of frequencies?

7 notes and the ratio is (21/12)7 = 1.498

5 and the ratio is 1.5 exactly

7 and the ratio is 1.5 exactly

5 and the ratio is (21/12)7 = 1.498

Part b:

A common occurrence is to hear the siren of an approaching emergency vehicle and the change in its pitch (frequency) when the vehicle passes and moves away. If it is traveling at 80 km/hr and the speed of sound in cool dry air is 331 m/s, what frequency will we hear from the approaching vehicle if it emits 1200 Hz when at rest?

1200 Hz

1490 Hz

1119 Hz

1281 Hz

Part c:

See if you can associate the scientist with their contributions

Isaac Newton

Albert Einstein

Lord Kelvin

Robert Hooke

Archimedes

Entropy

Bouyancy

Classical Laws of Motion and Gravity

Special and General Relativity

Elastic behavior of materials

1200 Hz

1490 Hz

1119 Hz

1281 Hz

Part c:

See if you can associate the scientist with their contributions

  

Isaac Newton

Albert Einstein

  

Lord Kelvin

Robert Hooke

Archimedes

A.

Entropy

B.

Bouyancy

C.

Classical Laws of Motion and Gravity

D.

Special and General Relativity

E.

Elastic behavior of materials

Explanation / Answer

Part B:
f = 1200 Hz, v = 331 m/s

vo = 80 km/hr = 22.22 m/s

from Doppler effect fo =f *(v+vo)/(v-vs)

fo = 1200*(331+22.222)/(331-0)

fo = 1281 Hz

Part c:

Issac newton (C)

ALber Einstein (D)

Lord Kelvin (A)

Robert Hooke (E)

Archimedes (B)