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?
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.
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