1) Consider a longitudinal wave in air with a frequency of1.15E3 Hz and a speed

Question

1) Consider a longitudinal wave in air with a frequency of1.15E3 Hz and a speed of 345 m/s. What is the wavelength (in m) ofthis wave? (Ans: 3.00x10^ -1 ) 2) A transverse traveling wave is made on a long slinky. Thetransverse displacement is given by
D(x,t) = 0.56sin(5.1x + 91t), where D and x are in meters and t isin seconds. What is the maximum transverse speed (in m/s) of coilsof the slinky, in this wave? ( Ans: 5.10x10^ 1) 1) Consider a longitudinal wave in air with a frequency of1.15E3 Hz and a speed of 345 m/s. What is the wavelength (in m) ofthis wave? (Ans: 3.00x10^ -1 ) 2) A transverse traveling wave is made on a long slinky. Thetransverse displacement is given by
D(x,t) = 0.56sin(5.1x + 91t), where D and x are in meters and t isin seconds. What is the maximum transverse speed (in m/s) of coilsof the slinky, in this wave? ( Ans: 5.10x10^ 1)

Explanation / Answer

Frequency f= 1.15* 10^ 3 Hz

Speed v = 345 m / s

Wavelength = v / f

                    = 3.333 m

(b). Transverse displacement D = 0.56 sin ( 5.1x + 91 t)

Transverse velocity v = dD / dt

                                   = (0.56 * 91 ) cos ( 5.1x+ 91 t )

                                   = 50.96 cos ( 5.1 x + 91 t )

Maximum speed = 50.96 m / s

                            ~ 51 m / s

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