To determine the wavelength of a longitudinal wave traveling along an iron rod, use the formula wavelength = (wave speed)/frequency. Calculate the wave speed using the formula wave speed = sqrt((elastic modulus)/(density)). Substitute the given values to find the wavelength.
To determine the wavelength of a longitudinal wave traveling along an iron rod, we need to use the equation: wavelength = (wave speed)/frequency.
The wave speed can be calculated using the formula: wave speed = sqrt((elastic modulus)/(density)).
Given that the elastic modulus of iron is 100×109 N/m² and the density is 7.8×10³ kg/m³, we can substitute these values into the wave speed formula to find the wave speed. Then, we can divide the wave speed by the frequency (7200 Hz) to find the wavelength.
Using the given values, we can calculate:
Wave speed = sqrt((100×10^9 N/m²)/(7.8×10³ kg/m³))
Wavelength = wave speed/frequency