If a wave traveling through air decreases its wavelength by half, what happens to the wave speed and frequency?

2. A transverse wave is traveling down a rope with mass, m = 10 kg, and length, L = 50 m. If the rope is under a tension force of 2000 N, what is the wave speed of the transverse wave?
4. If a slinky has a mass of 0.5 kg and 100 loops, what is the mass density (m/L) of a slinky that is stretched 5 meters but only 80 loops are stretched?
6. Give one example of where you have experienced the Doppler effect and explain how it represented this scientific principle.

Table 1: Slinky Measurements

Slinky Mass (kg)	Number of Loops	Mass/Loop (kg/loop)	Length (m)
20gms	42	.476	.7

Table 2: Wave Time Measurements for Relaxed Slinky

Trial	Time (s)	Tension Force (N)
1	1.58	.4
2	1.58
3	1.80
4	1.21

(tension is the same for all)

Table 3: Wave Time Measurements for Increases Tension Slinky

Trial	Time (s)	Tension Force (N)
1	1.35	1
2	1.18
3	1.15
4	1.21
5	1.26

(tension is the same for all)

Table 4: Slinky Measurements

Trial	Velocity from Stopwatch (m/s)	Velocity from Tension and Mass density (m/s)	Percent Difference (%)

Post-Lab Questions

2. Did the waves seem to go any faster or slower when you tested a variety of amplitudes and frequency? Explain.
4. What did you notice about the speed of the longitudinal waves compared to the transverse waves? Why do you think this is?
6. Use data from Table 1 and Table 2 to calculate the average time it took for the wave to travel down and back. Use this time to calculate the average speed for the traveling wave on the Slinky for both situations. Fill in Table 4 with your answers.
8. Calculate the wave speed using the formula for transverse waves. Fill in Table 4 with your answers.
10. Calculate a percent difference between your velocities and record them in Table 4.
12. Identify two sources of error. Which method for measuring velocity do you think is more accurate? Which method do you think is more precise?