Speed of mechanical wave (sound wave) is given by the formula
[tex]v = \sqrt{\frac{E}{\rho}}[/tex]
here we can say that speed of sound wave depends on two factors
1). E = elasticity
2). [tex]\rho[/tex] = density
also we can have the string wave speed given by the equation as
[tex]v = \sqrt{\frac{T}{\mu}}[/tex]
here we can say it will depends on
1). T = tension in the string
2)[tex]\mu[/tex] = linear mass density
Also we will have the speed of sound in gases given as
[tex]v = \sqrt{\frac{\gamma RT}{M}}[/tex]
here it depends on two factors as
1). [tex]\gamma[/tex] = Type of gas
2). T = temperature of gas