Question

people of the inca empire built a long series of roads and rope bridges in the highlands of peru. imagine a couple of brave kids playing on such a bridge. by jumping up and down at a frequency of 0.44 hz, they set up a standing wave with a node on each end and one in the middle. if the bridge is 44.1 m long, what is the speed of the wave?

Answer 1

The speed of the wave on the bridge is 9.66 m/s.

Step-by-step explanation:

The speed of a wave can be calculated using the formula:

Speed = Frequency × Wavelength

In this case, the wave has a frequency of 0.44 Hz and a node on each end and one in the middle, which means it has two wavelengths in the 44.1 m length of the bridge.

Therefore, the wavelength is 44.1 m / 2 = 22.05 m.

Plugging in the values into the formula, we get:

Speed = 0.44 Hz × 22.05 m

= 9.66 m/s