Question

You are holding the end of a rope and the other end of the rope is tied to a tree. You shake one end of the rope and create a standing wave. The nodes are 27cm apart and the amplitude of the standing wave is 12 cm. What is the amplitude of the wave you make? What is the wavelength of the wave you make? Show equations used to solve.

Answer 1

Given:

Distance between nodes (d) = 27 cm

Amplitude of the standing wave (A) = 12 cm

Amplitude of the original wave (A') = 1/2 * A

Amplitude of the original wave:

A' = 1/2 * 12 cm

A' = 6 cm

Wavelength of the standing wave (λ) = 2 * d

λ = 2 * 27 cm

λ = 54 cm

Therefore, the amplitude of the wave you make is 6 cm and the wavelength is 54 cm.

To summarize:

Amplitude of the wave you make: 6 cm

Wavelength of the wave you make: 54 cmThese calculations are based on the assumption that the rope is fixed at one end (tied to a tree), and you are creating a standing wave by shaking the other end.