The displacement of a particle of a string carrying a travelling wave is given by y = (3.0 cm) sin 6.28(0.50x − 50 t), where x is in centimetre and t…

Question

The displacement of a particle of a string carrying a travelling wave is given by y = (3.0 cm) sin 6.28(0.50x − 50 t), where x is in centimetre and t in second. Find the speed of the wave.

Answer 1

The displacement of a particle of a string carrying a travelling wave is given by y = (3.0 cm) sin 6.28(0.50x − 50 t), where x is in centimetre and t in second. Find the speed of the wave.

1 ms⁻¹ ✓
50 ms⁻¹
5 ms⁻¹
10 ms⁻¹

Explanation

Compare with y = A sin(kx − ωt). Here k = 6.28 × 0.50 = 3.14 per cm and ω = 6.28 × 50 = 314 rad/s.

Wave speed = ω/k = 314 ÷ 3.14 = 100 cm/s. Since 100 cm = 1 m, the speed is 1 ms⁻¹. Remember that x is in centimetres, so convert at the end.

Was this explanation helpful?

Something wrong or missing? Tell us — we read every report and fix issues fast.