A thin solid rod has Young's modulus Y = 2×10¹¹ Pa and density ρ = 8×10³ kg/m³. If the longitudinal sound speed in the rod is N m/s, find N.
Physics · Wave Motion · sound wave
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Question

A thin solid rod has Young's modulus Y = 2×10¹¹ Pa and density ρ = 8×10³ kg/m³. If the longitudinal sound speed in the rod is N m/s, find N.

G1 Physics · Accepted Answer

For a longitudinal wave in a thin rod, v = √(Y/ρ). Substitute: v = √[(2×10¹¹)/(8×10³)] = √(0.25×10⁸) = √(25×10⁶) = 5000 m/s. Hence, N = 5000.