An echo-sounder in a fishing boat receives an echo from a shoal of fish 0.45 s after it was sent. If the speed of sound in water is 1500 m/s, how deep is the shoal?
Going through the sums, we can list the given quantities as,
speed v= 1500 m/s
time in which the signal is recieved back after hitting the shoal,
i.e time for going+time for coming back i.e 2t = 0.45 s
therefore t = 0.225s
To find distance d = ?
Solution –
velocity, distance and time can be related as
distance = speed x time
d = v x t
d = 1500 x 0.225
d = 337.5m
the distance between the shoal and the echo sounder is 337.5m