The tension of a string is found to be 4050 N and the mass of 1 m of the string is 0.5 kg. What could be the velocity of a wave traveling in that string?

90 m/s

Explanation:

The formula for velocity of wave in a string is given as,

v' = √ (T/m') ... Equation 1

Where v' = velocity of the string, T = Tension on the string, m' = mass per unit length of the string.

Given: T = 4050 N, and

m' = m/l where m = mass of the string, l = length of the spring.

m = 0.5 kg, l = 1 m

m' = 0.5/1 = 0.5 kg/m

Substitute into equation 1

v' = √ (4050/0.5)

v' = √ (8100)

v' = 90 m/s.

Hence the velocity of the wave in the string = 90 m/s