The wave function for awave on a taut string is given below, where x is in meter

Question

The wave function for awave on a taut string is given below, where x is in metersand t is in seconds. y(x, t) = (0.340 m) sin(10t -3x + /4) (a) What is the average rate at which energy istransmitted along the string if the linear mass density is 75.0g/m?
1_______________ W

(b) What is the energy contained in each cycle of the wave?
2______________ J The wave function for awave on a taut string is given below, where x is in metersand t is in seconds. y(x, t) = (0.340 m) sin(10t -3x + /4) (a) What is the average rate at which energy istransmitted along the string if the linear mass density is 75.0g/m?
1_______________ W

(b) What is the energy contained in each cycle of the wave?
2______________ J The wave function for awave on a taut string is given below, where x is in metersand t is in seconds. y(x, t) = (0.340 m) sin(10t -3x + /4) (a) What is the average rate at which energy istransmitted along the string if the linear mass density is 75.0g/m?
1_______________ W

(b) What is the energy contained in each cycle of the wave?
2______________ J The wave function for awave on a taut string is given below, where x is in metersand t is in seconds. The wave function for awave on a taut string is given below, where x is in metersand t is in seconds. The wave function for awave on a taut string is given below, where x is in metersand t is in seconds. The wave function for awave on a taut string is given below, where x is in metersand t is in seconds. y(x, t) = (0.340 m) sin(10t -3x + /4) (a) What is the average rate at which energy istransmitted along the string if the linear mass density is 75.0g/m?
1_______________ W

(b) What is the energy contained in each cycle of the wave?
2______________ J y(x, t) = (0.340 m) sin(10t -3x + /4) (a) What is the average rate at which energy istransmitted along the string if the linear mass density is 75.0g/m?
1_______________ W

(b) What is the energy contained in each cycle of the wave?
2______________ J

Explanation / Answer

amplitude A = 0.340 m, = 10 rad/s, k = 3m-1, so speed of wave = /k = 10/3 m/s, =0.0750 kg/m. period T = 2/ = 0.2 s a) the average rate P = A22v/2 =14.3 W b) E = P*T = 2.85 J

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