As your hand moves back and forth to generate longitudinal pulses in a spiral spring, your
hand completes 3.26 back-and-forth cycles every 8.31 s. The velocity of the pulse in the
spring is 1.47 cm/s.
To determine the frequency and wavelength of the longitudinal pulses in the spiral spring, we can use the given information.
First, let's find the frequency (f), which is the number of cycles completed per unit time. We are given that the hand completes 3.26 cycles every 8.31 seconds. So, we can calculate the frequency using the formula:
frequency (f) = number of cycles / time
f = 3.26 cycles / 8.31 s
Next, let's find the wavelength (λ), which is the distance covered by one complete cycle. The velocity of the pulse in the spring is given as 1.47 cm/s. The formula to calculate wavelength is:
velocity (v) = frequency (f) x wavelength (λ)
We can rearrange the formula to solve for the wavelength:
wavelength (λ) = velocity (v) / frequency (f)
λ = 1.47 cm/s / f
Now, let's substitute the calculated value of f into the formula we obtained:
λ = 1.47 cm/s / (3.26 cycles / 8.31 s)
Simplifying this equation will give us the value of the wavelength.
By following these steps, you can find the values for frequency and wavelength of the longitudinal pulses in the spiral spring based on the given information.
f= n/t
f= 3.26/8.31= 0.39
v=(wavelength)f
1.47= (wavelength)0.39
wavelength= 3.769