Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A worker strikes a steel railway rail with a hammer. A friend away along the track puts one ear to the rail. The Young's modulus of steel is and its density is . Sound travels at in the air.
On a string, , with the tension and the mass of each metre. In a fluid, ; along a solid rod, . In a gas (Laplace), .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Speed in steel. , to three figures.
Step 2. Travel times. Through the rail: . Through the air: .
Step 3. The gap. .
Why steel is so fast. Steel is about a million times stiffer than air, but only about six thousand times denser. The ratio is far larger, so the wave is about fifteen times faster.
Log in to join the discussion.
Loading…