The distance between two consecutive nodes of a standing wave is 19.2 cm. The hand gen- eratingthe pulses movesupand downthrough a complete cycle 3.23 times every 5.9 s. Find the velocity of the wave. Answer in units of m/s

how do I solve it? thanks!

To solve this problem, follow these steps:

Step 1: Determine the frequency (f) of the wave using the given information.
Given that the hand generates pulses 3.23 times every 5.9 seconds, you can find the frequency using the formula:
f = number of cycles / time
f = 3.23 / 5.9 s

Step 2: Calculate the wavelength (λ) of the wave.
The distance between two consecutive nodes of the standing wave is given as 19.2 cm. However, the wavelength is the distance between two consecutive antinodes, which is equal to twice the distance between two consecutive nodes.
λ = 2 * 19.2 cm

Step 3: Convert the wavelength from centimeters to meters.
Since the velocity of the wave is required in meters per second, you need to convert the wavelength to meters by dividing by 100.
λ = (2 * 19.2) / 100 m

Step 4: Use the formula for wave velocity to find the velocity (v) of the wave.
The formula for wave velocity is:
v = f * λ

Step 5: Substitute the values from steps 1, 2, and 3 into the velocity formula to find the answer.
v = (3.23 / 5.9) * ((2 * 19.2) / 100)

Step 6: Calculate the velocity.
Perform the calculations using a calculator to find the velocity of the wave.

The answer will be in units of meters per second (m/s).