The equation of the wave is given as y = 0.65sin(1.2x - 0.4t).

(i) To find the period of the wave, we need to know the angular frequency (ω). In the given equation, the coefficient of t is the negative of the angular frequency (-ω). So, ω = 0.4 rad/s. The period (T) of the wave is given by the formula T = 2π/ω. Substituting the value of ω, we get T = 2π/0.4 = 15.7 seconds. So, the period of the wave is 15.7 seconds.

(ii) To find the wave velocity, we need to know the wave number (k). In the given equation, the coefficient of x is the wave number (k). So, k = 1.2 rad/m. The wave velocity (v) is given by the formula v = ω/k. Substituting the values of ω and k, we get v = 0.4/1.2 = 0.333 m/s. So, the wave velocity is 0.333 m/s.

Therefore, the correct answer is (b) 15.7 seconds (ii) 0.333 m/s.

Question

The equation of the wave is given as y = 0.65sin(1.2x - 0.4t).

(i) To find the period of the wave, we need to know the angular frequency (ω). In the given equation, the coefficient of t is the negative of the angular frequency (-ω). So, ω = 0.4 rad/s. The period (T) of the wave is given by the formula T = 2π/ω. Substituting the value of ω, we get T = 2π/0.4 = 15.7 seconds. So, the period of the wave is 15.7 seconds.

(ii) To find the wave velocity, we need to know the wave number (k). In the given equation, the coefficient of x is the wave number (k). So, k = 1.2 rad/m. The wave velocity (v) is given by the formula v = ω/k. Substituting the values of ω and k, we get v = 0.4/1.2 = 0.333 m/s. So, the wave velocity is 0.333 m/s.

Therefore, the correct answer is (b) 15.7 seconds (ii) 0.333 m/s.

Knowee AI · Accepted Answer

The equation of the wave is given as y = 0.65sin(1.2x - 0.4t).

(i) To find the period of the wave, we need to know the angular frequency (ω). In the given equation, the coefficient of t is the negative of the angular frequency (-ω). So, ω = 0.4 rad/s. The period (T) of the wave is given by the formula T = 2π/ω. Substituting the value of ω, we get T = 2π/0.4 = 15.7 seconds. So, the period of the wave is 15.7 seconds.

(ii) To find the wave velocity, we need to know the wave number (k). In the given equation, the coefficient of x is the wave number (k). So, k = 1.2 rad/m. The wave velocity (v) is given by the formula v = ω/k. Substituting the values of ω and k, we get v = 0.4/1.2 = 0.333 m/s. So, the wave velocity is 0.333 m/s.

Therefore, the correct answer is (b) 15.7 seconds (ii) 0.333 m/s.

A progressive wave equation is given as y=0.65sine1.2x -0.4t).Determine the period of the wave(ii) Determine the wave velocitya.15.2seconds (ii) 0.333m/sb.15.7 seconds (ii) 0.333m/sc.16.7seconds (ii) 0.033m/sd.17.7 seconds (ii) 3.33m/se.2seconds (ii) 33.3m/s

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