High School

What tension is required for a wave speed of 36.6 m/s on a string that is under a tension of 7.34 N? Answer in units of N.

Answer :

Tension is required for a wave speed of 36.6 m/s on a string that is under a tension of 7.34 N s 13.42 N.

The speed of a transverse wave on a string is given by v = (T/ density ) ¹/², where v is the wave speed, T is the tension, and density is the linear mass density of the string. Given this formula, we can see that wave speed depends on both the tension and the linear mass density of the string.

The tension required for a wave speed of 36.6 m/s on a string under a tension of 7.34 N can be calculated using the formula: Tension = (Wave speed)^2 * (Tension)/ 36.6^2 = 7.34N = Tension

Therefore, the tension required for a wave speed of 36.6 m/s on a string under a tension of 7.34 N is 13.42 N.