Speeds of waves on strings and in air

You will write the formulas for the speed of a wave on a string and of sound in a gas, and use them on a wire and on a hot day.

The idea.

• On a string, $v = \sqrt{T/\mu}$. For a wire, $\mu = \rho\pi r^2$.
• In a gas, $v = \sqrt{\gamma R T/M}$, with $T$ in kelvin.

Your tasks.

1. In string_speed, return $v$ for the tension tension (N) and the mass of each metre mu (kg/m).
2. In wire_mu, return $\mu$ for a wire of diameter d (m) and density rho (kg/m³).
3. In sound_speed, return the speed of sound for a temperature celsius in °C.