Question

Solve the following problem.

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?

Answer 1

Given: t = 0.45 s, v = 1500 m/s,

To find: depth (d)

Formula: Speed (v) = `"distance"/"time"`

Calculation: For an echo distance travelled by the sound wave = 2 × (distance between echo sounder and shoal) (d)

v = `(2 xx "d")/"t"`

∴ d = `(1500 xx 0.45)/2` = 337.5 m

The shoal is 337.5 deep.