Question

A 25.0 ? steel wire and a 50.0 ? copper wire are attached end to end and stretched to a tension of 145 ?. Both wires have a radius of 0.450 ??. and their densities are 7.86 ? 10? ??/?? for the steel and 8.92 ? 10? ??/?? for the copper. (Note that these are mass densities, mass per unit volume, NOT linear mass densities, mass per unit length.) How long does a wave take to travel from one end to the other of the combination wire

Answer 1

wire 1 -Steel 4 = 25m Wire 2 - copper L2 = 50 m Radius of both wires iiü r=o.usm Cross sectional area of both wirs is at-Trt = 3.14% (0.45) = 0.64m2 linear density of wire 1 in Mi= Density of sleel XA = 7,862103 x0.64 = 5x103 kg/m linear density of wirez is M2= Densits of copperxa = 8192x102x0.64 = 5,672 x103 lcgim speed of the transverse walle on wire 1 is "= I 9,-) 5x10 3 = 0.17 mis transverse wave on woir 2 ů V₂ = J T speed of the 0.16 mis lus 3 O2 = 5.672x10 * Iblengths are inmeten a Total time taken T= titta Vio 25 + 50 + 12 = 0.16 Go 460 seconds o of lensth) one in cm T 4.6 second