Use your understanding of the length-wavelength relationships for the various harmonics and basic wave equations to solve the following problems.
A 2.50-m long wire is vibrating with its first harmonic standing wave pattern. What is the wavelength of the waves in the wire?
Wavelength
m
A 2.00-m long wire is vibrating with its fifth harmonic standing wave pattern. What is the wavelength of the waves in the wire?
Jack and Mahir are completing the analysis for their Standing Wave Lab. Their data shows a 2.60-m length wire vibrating with the pattern below when the frequency generator was set to 131 Hz. They must determine the wavelength and the speed of the wave. Help them out!
The wavelength is …
The speed of the wave is …
Speed
m/s
Gaynelle and Jake got a hold of a rope during PE class and (while Mr. Hass wasn't looking) decided to impress their peers with how much they knew about standing wave patterns. Standing 3.45 m apart, Gaynelle vibrated the rope with a frequency of 2.39 Hz to produce the following pattern. What is the speed at which waves travel through the rope?
In a physics lab, a rope is observed to make 258 complete vibrational cycles in 15.0 seconds. The length of the rope is 2.20 meters and the measurements are made for the 6th harmonic (with six equal length sections). Determine the speed of the waves in the rope.