A string of length 2.7 m is fixed at both ends. When the string vibrates at a frequency of 90.0 Hz, a standing wave with 5 loops is formed. What is the wavelength of the waves that travel on the string?

To find the wavelength of the waves that travel on the string, we can use the formula:

Wavelength (λ) = 2L/n

Where:
L = Length of the string
n = Number of loops or nodes in the standing wave

In this case, the length of the string (L) is given as 2.7 m, and the number of loops or nodes (n) in the standing wave is given as 5.

Plugging in the values into the formula:

Wavelength (λ) = 2(2.7 m)/5

Wavelength (λ) = 5.4/5

Wavelength (λ) = 1.08 m

Therefore, the wavelength of the waves that travel on the string is 1.08 meters.

To find the wavelength of the waves that travel on the string, we can use the formula:

\[ \text{wavelength} = \frac{\text{length of the string}}{\text{number of loops}} \]

In this case, the length of the string is given as 2.7 m and the number of loops is given as 5. Plugging these values into the formula, we get:

\[ \text{wavelength} = \frac{2.7 \, \text{m}}{5} \]

Calculating this, we find:

\[ \text{wavelength} = 0.54 \, \text{m} \]

Therefore, the wavelength of the waves that travel on the string is 0.54 m.