Given data:
Wave length (λ) = 2.30 m,
Frequency (f) = 370 Hz (waves/sec),
Determine the speed of the wave = ?
Speed of the wave is defined as "the distance a wave travels in a given time". And it is a product of wavelength (λ) and frequency(f).
An Important point to be remember here is "when increasing the wave length of the wave does not increase the speed of the wave" because the wave speed also depends on frequency (f), So, if the wave length increases wave speed decreases. As a result the product of wave length and frequency are same.
Mathematically,
Wave speed = wave length × frequency
= 2.30 m × 370 waves/sec.
= 851 m/s.
Speed of the wave is 851 m/s