Current location - Music Encyclopedia - QQ Music - The mathematician Sylvester once said, "Music is perceptual mathematics, and mathematics is rational music." Please use the information in the picture to answer the following questions. (1)
The mathematician Sylvester once said, "Music is perceptual mathematics, and mathematics is rational music." Please use the information in the picture to answer the following questions. (1)

(1) f= a l. (The answer is not unique)

Answer: The functional relationship between the vibration frequency f of the string and the length l of the string is f= a l.

(2)∵ 15 8 = a l ,

∴l= 8 15 a.

Answer: The original length of this string is 8 15 a.