Question

A guitar string is 90 cm long and has a mass of 3.5 g. The distance from the bridge to the support post is L= 62 cm, and the string is under a tension of 520 N. Part A What are the frequencies of the fundamental and first two overtones? Express your answers using two significant figures. Enter your answers in ascending order separated by commas. ΟΙ ΑΣΦ ? $1,12,13 = Hz

Answer 1

Given long Guitar string is i go cm and has mass of 3.5 gram a mass density u = 3.5X163 gox10-2 3.5 Xlo H = 9 kg/m M = 3.88 X163 L = 62cm T= 520 N speed of ware string v= va 520 3.88 810 3 3 134.02 x 10 va 2 Xlo ve 113.402 v= 3.66 X 10² m/sec aã ão fundamental mode au 3u fæ = fa QL 2 L foq = .2L

fa 3.66 xi- 9 х 62х).-2 2. fea 3. Бо хто 4. 24 2. Hz fi= 2.95 1 x 10 fe 1| 2 9S, 1 H2 fa x 2351 H2 | 1 9 L f = 590.2 HZ fa — OU9 2L 2x295.1 5,2 885,2 H2

Given Length of Islle Length of tube d = 70 cm 0.90 HZ frequency produced = center biktima d so da 일 d=14o um and using formala Vef v= 0.90 x 140 x 10-2 v= -2 126 X 16 v= 1.26 m/sec