An oceanography team realizes they can relate the density Psea of deep, cold seawater to the speed of traveling waves in a cable connecting the weight back up to their boat.
To do this experiment, they choose a weight with a density pweight = 9,764 kg/m^3. When they hang the weight from the cable in air, it produces a wave speed of 32.17 m/s. Then, they lower the weight down into the deep ocean. At a depth of 2.2 km, the density of seawater increases up to 1,172 kg/m^3.
What is the velocity of waves on the cable when the weight is at this depth?
Give your answer in units of m/s.