A progressive wave is described by y = 0.04 sin(2πx-8πt+π/6), where x and y are in metres and t is in seconds. What is the speed of propagation of the wave?
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Question

A progressive wave is described by y = 0.04 sin(2πx−8πt+π/6), where x and y are in metres and t is in seconds. What is the speed of propagation of the wave?

G1 Physics · Accepted Answer

Compare with the standard form y = A sin(kx−ωt+φ). Thus, k = 2π rad/m and ω = 8π rad/s. Wave speed is v = ω/k = 8π/(2π) = 4 m/s. Correct option: B.