Question

wave properties review
directions: answer the question about frequency
a wave completes 3,500 wave cycles in five second.
what is the frequency of the wave?

hz

Explanation:

Step1: Recall frequency formula

Frequency \( f \) is defined as the number of cycles \( N \) per unit time \( t \), so \( f=\frac{N}{t} \).

Step2: Identify values

Here, \( N = 3500 \) cycles (assuming 3.500 is a typo and should be 3500, or if it's 3.5, the process is similar) and \( t = 5 \) seconds. Wait, the problem says "3.500 wave cycles" (maybe a typo, but let's check: if it's 3500, then \( f=\frac{3500}{5}=700 \) Hz. If it's 3.5, then \( f = \frac{3.5}{5}=0.7 \) Hz. But likely a typo, 3500 makes sense for wave cycles. Let's proceed with \( N = 3500 \), \( t = 5 \) s.

Step3: Calculate frequency

Using \( f=\frac{N}{t} \), substitute \( N = 3500 \), \( t = 5 \): \( f=\frac{3500}{5}=700 \) Hz. (If it was 3.5, \( f=\frac{3.5}{5}=0.7 \) Hz, but the number 3.500 might be 3500 with a decimal error. Given the context of wave cycles, 3500 is more reasonable.)

Answer:

700 (or 0.7 if 3.5 is correct, but likely 700 due to possible typo in 3.500 as 3500)