Question

A sinusoidal wave travels down a long string at a frequency of 800rad/s, a wavelength of .35m, an amplitude of 0.020m, and a mass/length is 0.0050 kg/m.

a. What is the wave speed?

b. What is the power of the wave?

c. What is the energy per unit length?

d. What is the tension in the string?

Answer 1

a) Speed(v) = frequency * wavelength = (800/2) * 0.35 = 44.56m/s

b)

where is mass per unit length of string

Putting corresponding values we get

P = 28.52 W

c)

E/L = is the forula for kinetic energy per unit length

Putting corresponding values we get

E/L = 0.64 J

d) Tension

Putting corresponding values we get

T = 9.93 N