Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s. What must be the stress (F/A) in a stretched wire of a material whose Young’s modulus is Y for the speed of longitudinal waves to equal 30 times the speed of transverse waves?

Solution 12E Step 1: Speed of longitudinal wave, Y vL= Speed of transverse wave, vT= Where, Y - Young’s modulus - Density of the medium F - Force exerted by the wave - ×A A - Area