Answer to Question 3

Square the equation:

Therefore:

Now we need to find out the mass per unit length:

m = 1.25 × 10^{-3} kg ÷ 1.60 m = 7.8125 × 10^{-4} kg m^{-1}

(a) Now we can work out the tension:

T = 4 × 7.8125 × 10^{-4} kg m^{-1} × (50.0 Hz)^{2} × (1.15 m)^{2} = 10.3 N

(b) v = (10.3 N ÷ 7.8125 × 10^{-4} kg m^{-1})^{0.5} = 115 m s^{-1}