Echo Sounder: Distances from Echoes

An educational simulation game. Predict how deep the sea is from a sonar echo, how far away a bat's moth is, when a shout echoes back from a cliff, how fast sound travels in sea water, and how high a shoal swims, then watch the sound go out and come back in slow motion.

ReflectionSonar and echoes

ECHO SOUNDER

Sounding the sea

Ready
Enable JavaScript to send out the pings. The instructions and worked example remain readable.
Sound going outEcho and recordingYour predictionSea, ground, and scale
Wavesd = v·t ÷ 2

Time

0.00 ms

t

Speed of sound

— m/s

v

Distance to the far reflector

— m

d

Sound's path so far

— m

v·t

Echoes heard

—

n

Predict before you start

Type your prediction to set things up. Start stays off until there is an answer.

Predict what the echoes tell you.

Mission score—

Every answer must be within 2%: each earns 100 points. Getting it right on the first run adds 50. A run counts as soon as it starts.

✓ Right answer① First try

How to play Echo Sounder

  1. Choose a test and read the speed, the times, or the distances on the card.
  2. Use d = v·t ÷ 2, t = 2d ÷ v, and v = 2d ÷ t. An echo always travels the distance twice.
  3. Type your prediction and press Start. The sound goes out and comes back in slow motion.
  4. Compare the orange dashed lines with the echoes on the right, or the orange line with the seabed, the fish, or the moth.

Echoes and reflection

When a wave reaches the edge of what it travels through, part of it bounces back: it is reflected. For sound, the reflection is an echo. A clap in a canyon, a bat's squeak hitting a moth, and a ship's sonar ping hitting the seabed all come back after a delay, and that delay measures distance: the sound covers the way out and the way back, so d = v·t ÷ 2. The speed depends on what the sound travels through, about 340 m/s in air and 1500 m/s in sea water. Echo sounders on ships ping many times a second to draw the shape of the seabed and spot shoals of fish, which return weaker echoes earlier. Bats and dolphins do the same by instinct, using echo delays of thousandths of a second to hunt in the dark. Doctors use ultrasound echoes inside the body, and the same idea with radio waves is radar.

A focused learning model

The sound travels at a constant speed in straight lines and reflects perfectly; the source and receiver stay still and are in the same place. The pulse is drawn as spreading circles and the echo as circles spreading back. The recording shows the ping and each echo as short bursts, weaker from the fish. Time runs slower than real time by the factor shown, so each run lasts 4 s and ends as the last echo returns; the clock shows the real time in milliseconds. Answers within 2% are right.

Changing language keeps your test, prediction, attempts, and run.