Answer
a. 55 Hz
b. 190 m/s
Work Step by Step
a. The difference between consecutive overtones is 55 Hz. See Figure 12-11. For a pipe open at both ends, the difference is the fundamental frequency $f_1$, and the overtones are whole multiples of the fundamental frequency.
b. See figure 12-11. For a pipe open at both ends, the fundamental frequency is $f_1=\frac{v}{2 \mathcal{l}}$.
$$v=2 \mathcal{l}f_1=2(1.70m)(55Hz)=187m/s\approx 190m/s$$
