vibrating a long spring with a succession of pulses with a frequency of 50Hz produces adjacent nodes that are separated by 3.5cm. what is the velocity of the longitudinal waves formed?
To find the velocity of the longitudinal waves formed in the long spring, you can use the formula:
v = f * λ
where:
- v is the velocity of the waves
- f is the frequency of the pulses
- λ is the wavelength of the waves
In this case, the frequency (f) of the pulses is given as 50 Hz, and the distance between adjacent nodes (3.5 cm) represents the wavelength (λ).
First, let's convert the wavelength from centimeters (cm) to meters (m) to match the standard SI unit:
λ = 3.5 cm = 3.5 / 100 m = 0.035 m
Now, we can substitute the values into the formula:
v = 50 Hz * 0.035 m = 1.75 m/s
Therefore, the velocity of the longitudinal waves formed in the long spring is 1.75 m/s.