A wave pulse travels down a slinky Complete Solution

Question: #702

A wave pulse travels down a slinky. The mass of the slinky is m = 0.88 kg and is initially stretched to a length L = 7.3 m. The wave pulse has an amplitude of A = 0.24 m and takes t = 0.49 s to travel down the stretched length of the slinky. The frequency of the wave pulse is f = 0.4 Hz.

1) What is the speed of the wave pulse?

2) What is the tension in the slinky?

3) What is the average speed of a piece of the slinky as a complete wave pulse passes?

4) What is the wavelength of the wave pulse?

5) Now the slinky is stretched to twice its length (but the total mass does not change).
What is the new tension in the slinky? (assume the slinky acts as a spring that obeys Hooke’s Law)

6) What is the new mass density of the slinky?

7) What is the new time it takes for a wave pulse to travel down the slinky?

8) If the new wave pulse has the same frequency, what is the new wavelength?

Solution: #716

A wave pulse travels down a slinky - Complete Solution

mass per length=μ=m/L=0.88/7.3=0.1205 Kg/m
We have:
v=√(T/μ)
Tension=T=μ v^2=(0.1205)*(〖14.898〗^2 )=26.75=27 N
3) What is the average speed of a piece of the slinky as ...