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**Unformatted text preview: **) 2 ( 2 L m C = and the previous result is obtained. The speed of propagation as a function of distance is , 2 ) ( ) ( 2 2 r L m TL r T dt dr r v-= = = = where dt dr has been chosen for a wave traveling from the center to the edge. Separating variables and integrating, the time t is . 2 2 2 -= = L r L dr dt t The integral may be found in a table, or in Appendix B. The integral is done explicitly by letting , cos , cos , sin 2 2 L r L d L dr L r =-= = so that . 2 arcsin(1) 2 and , arcsin 2 2 t L r r L dr = = = =-...

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