Question

Mathemetical model: FOr a vibrating string, the rate of vibrations is directly proportional to the square root of the tension of the string, and a particular string vibrates 864 times per second under a tension of 24 kg. Find a mathematical model expressing the number of vibrations of this particular string as a function of the tension.

Answer 1

do u hqave any idea how to solve the problem
?

Answer 2

have not hqave sorry.

Answer 3

I just know the model for direct variation is y = kx

Answer 4

lets say the rate of vibration is V
and tension is T
vibration varies DIRECTLY to square root of tension , i.e. V = K * sqrt(T)

Answer 5

864 =K sqrt(24)
k=864/ 2*sqrt(6)

Answer 6

k= 432/sqrt(6)

therefore V = [432 / sqrt(6) ]* SQRT (T)

Answer 7

Thank you!