Question

this model shows the transverse wave maya creates in one battle rope. maya is 5 feet, 5 inches tall.
complete the sentences.
the best estimate of the waves wavelength is ▼. the best estimate of the waves amplitude is ▼.

Explanation:

Step1: Convert height to inches

Maya's height: $5 \text{ ft } 5 \text{ in} = (5 \times 12) + 5 = 65 \text{ in}$

Step2: Estimate amplitude (half height)

Amplitude is half the wave's total height, which matches Maya's height: $\frac{65}{2} = 32.5 \text{ in} \approx 2 \text{ ft } 8.5 \text{ in}$, simplified to ~$2.7 \text{ ft}$ or $5.5 \text{ ft}$ total height, so amplitude $\approx 2.75 \text{ ft}$ (or 33 inches)

Step3: Estimate wavelength (match height)

Wavelength (distance between 2 crests) matches Maya's height: $5 \text{ ft } 5 \text{ in} \approx 5.4 \text{ ft}$

Answer:

The best estimate of the wave's wavelength is $\boldsymbol{5.5 \text{ feet}}$ (or 65 inches). The best estimate of the wave's amplitude is $\boldsymbol{2.75 \text{ feet}}$ (or 32.5 inches).