Answer
a. 1400 m/s
b. 4100 m/s
c. 5100 m/s
Work Step by Step
Use equation 11-14 to calculate the longitudinal wave speed in a solid rod or a fluid. Elastic and bulk moduli data, and densities, are taken from data tables 9-1 and 10-1.
a. Water, $v=\sqrt{(2.0 \times 10^9 N/m^2)/(1.00 \times 10^3 kg/m^3)}=1400 m/s$
b. Granite, $v=\sqrt{(45 \times 10^9 N/m^2)/(2.7 \times 10^3 kg/m^3)}=4100 m/s$
c. Steel, $v=\sqrt{(200 \times 10^9 N/m^2)/(7.8 \times 10^3 kg/m^3)}=5100 m/s$
