Question

1. the time it takes to complete one cycle is called the

a) frequency
b) wavelength
c) wave speed
d) period

1. a person plays a note on a guitar. the string vibrates up and down to produce the note. what type of wave is this wave on the guitar string?

a) longitudinal
b) transverse

1. a humming bird flaps its wings 345 times in 75 seconds.

a) what is the period of the wing flaps?
t = δt / # cycles = 75 sec / 345 flaps = 0.22 seconds (rounded)
b) what is the frequency of wing flaps?
f = # cycles / δt = 345 flaps / 75 sec = 4.6 hz

1. you are on the beach enjoying the warm sunshine. you begin to count the number of waves that wash up onto the beach to pass the time. in a span of 5 minutes, you count 23 waves crash onto the beach. (hint: convert the time into seconds!)

a) what is the frequency of these waves?
f = # cycles / δt = 23 waves / 300 sec = 0.077 hz (rounded)
b) what is the period of these waves?
t = δt / # cycles = 300 sec / 23 waves = 13.04 seconds (rounded)

Explanation:

Step1: Convert time to seconds

Since \(1\) minute \( = 60\) seconds, for \(t = 5\) minutes, \(t=5\times60 = 300\) seconds.

Step2: Calculate frequency

The formula for frequency \(f=\frac{n}{t}\), where \(n = 23\) (number of waves) and \(t = 300\) seconds. So \(f=\frac{23}{300}\approx0.077\) Hz.

Step3: Calculate period

The formula for period \(T=\frac{t}{n}\), substituting \(n = 23\) and \(t = 300\) seconds. So \(T=\frac{300}{23}\approx13.04\) seconds.

Answer:

a) The frequency of the waves is approximately \(0.077\) Hz.
b) The period of the waves is approximately \(13.04\) seconds.