3. In music what is the frequency relationship between two notes of the same nam

Question

3. In music what is the frequency relationship between two notes of the same name but of different octaves, e.g. low C and middle C? 4. Approximately how long does it take to travel to Mars on today's current spacecraft? 5. Axles/wheels for train cars are solid, i.e. the wheels and axle are one solid piece of material that rotates as a whole. In order for vehicles to make a turn (without slipping) the wheels on the outside of the turn must rotate faster than those on the inside. How car a train car accomplish this when the axle and wheels are all one piece?

Explanation / Answer

3. In music the frequency relationship between 2 notes which are same but two octaves apart. The frequencies 440Hz and 880Hz which both correspond to musical note A, but the two notes are one octave apart. The next higher A would have the frequency 1760Hz which is twice that of 880Hz. In the musical scale, there are a total of 12 notes in every octave. These notes are geometrically distributed (evenly), so that the very next note above A, which is B flat, has the frequency of 440 × where is equal to twelfth root of two which is equal to 1.0595. The next note above B flat, which is B, has frequency 440 × 2. The series of the 12 in each octave goes as A,B flat,B,C,C sharp,D,D sharp,E,F,F sharp,G,A flat , A. Thus as explaned above the frequency of C is equal to 523 Hz and C sharp is 523 × which equals 554. And the frequency from C is equal to 523 Hz to the next C is 523*2=1046 Hz.

4. Mars is the second closest planet to earth and the fourth planet from the sun.The closest mars gets to earth is when mars is closest to sun and earth is the furthest(Depending on their respective orbits). The shortest distance recorded is 34.8 million miles. The fastest spacecraft so far is the New Horison mission, which visited pluto in 2015. The probe left earth at a speed of 36,000 mph. If it traveled straight to mars, it would take 41 days to approach. that is 34800000/(36000*24)=40.2 almost 41 days.

5. Trains do not make sharp turns like cars. The wheels are designed to act as differentials, the wheels are a bit conical or flanged in shape , the whole wheel set shifts to the right if the tract curves to the left and so fourth. This due to the conical nature of the wheels, the right wheel is at a larger diameter as compared to the left wheel during a left turn.Hence the train moves the turn smoothly. The outer centrifugal force results n increment in diameter to the right and the decrement in diameter to the left.

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