Question

A transverse wave in a rope is traveling at a speed of 3.0 m/s. The period of this mechanical wave is 0.25 s. What is the wavelength

Answer 1

The wavelength of the transverse wave is 0.75 m.

Step-by-step explanation:

The speed of a wave is given by the formula:

speed = wavelength × frequency

Given that the speed of the transverse wave is 3.0 m/s and the period (which is the inverse of frequency) is 0.25 s, we can find the frequency using the formula:

frequency = 1/period = 1/0.25 = 4 Hz

To find the wavelength, we rearrange the formula:

wavelength = speed/frequency = 3.0/4 = 0.75 m

Answer 2

To find the wavelength of a transverse wave, divide the speed by the frequency. In this case, the wavelength is 0.75 m.

Step-by-step explanation:

To find the wavelength, we can use the formula:

Wavelength = Speed / Frequency

In this case, the speed of the wave is given as 3.0 m/s and the period (which is the inverse of frequency) is given as 0.25 s. We can find the frequency by taking the reciprocal of the period, which gives us:

Frequency = 1 / Period

Plugging in the values, we have:

Frequency = 1 / 0.25 = 4 Hz

Now we can find the wavelength:

Wavelength = 3.0 m/s / 4 Hz = 0.75 m

Therefore, the wavelength of the transverse wave is 0.75 m.