1-7 Energy and power of a traveling wave on a string

Energy is transmitted at an average rate of P_avg,1 by a wave of frequency f₁ on a string with tension t₁. What is the new average energy transmission rate P_avg,2 in terms of P_avg,1,

a.  if the tension of the string is increased to t₂ = 4t₁, and

b.  if, instead, the frequency of the wave is decreased to   f₂ = f₁/2?

a. The rate of energy transferred  = please, select 2P1 P1 4P1 6P1 W

b. The average power transmitted by the wave is
 

 

 

 

 

 

 

 

 

The average power is reduced by a factor of four.

a. The average power transmitted by the wave is

 

 

b. The rate of energy transferred  = please, select P1/4 4P1 P1/2 2P1 W

 

 

 

Therefore, the power transmitted doubles.