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A tuning fork resonates with the note A, which hasa period of 0.00226 s and a wave speed of 343.2 m/s.What is the wavelength, in centimetres, of the note A?

Question

A tuning fork resonates with the note A, which has a period of 0.00226 s and a wave speed of 343.2 m/s. What is the wavelength, in centimetres, of the note A?

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Solution

To find the wavelength, we can use the formula for wave speed: v = λ/T, where v is the wave speed, λ is the wavelength, and T is the period.

We can rearrange this formula to solve for the wavelength: λ = vT.

Substituting the given values:

λ = (343.2 m/s)(0.00226 s) = 0.7752 m

To convert this to centimeters, we multiply by 100 (since 1 m = 100 cm):

λ = 0.7752 m * 100 = 77.52 cm

So, the wavelength of the note A is approximately 77.52 cm.

This problem has been solved

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