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?
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The mass per unit length 
is related to the density (assumed uniform) and the cross-section area A by 
A 
, so combining Eq. 
(speed of a transverse wave on a string) and Eq. 
(speed of a longitudinal wave in a solid rod) with the given relations between the speeds
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