Homework SourseA 20m long rope bridge has a linear density of 48kgm and is
A 20m long rope bridge has a linear density of 4.8kg/m and is pulled to a tension of 25m.
A) What\'s the wave speed on this bridge?
B) What is the fundamental frequency?
C) What standing harmonic wave most closely matches a typical footstep frequency of 1.25Hz?
A 20m long rope bridge has a linear density of 4.8kg/m and is pulled to a tension of 25m.
A) What\'s the wave speed on this bridge?
B) What is the fundamental frequency?
C) What standing harmonic wave most closely matches a typical footstep frequency of 1.25Hz?
A) What\'s the wave speed on this bridge?
B) What is the fundamental frequency?
C) What standing harmonic wave most closely matches a typical footstep frequency of 1.25Hz?
Solution
Answer:
(a) speed of the wave v = (T/linear density)1/2
v = (25/4.8 x 10-3)1/2 = 72.16 m/s
(b) Fundamental frequency = v/ 2L = 72.16/40 = 1.80 Htz
(c) All harmonics would be multiple of of this fudamental frequency. So foot step frequecy of 1.25 hrtz would be close to fundamental frequency.
