The speed of a wave is calculated using the following equation.wave speed = frequency × wavelengthThe water waves in a ripple tank have a wavelength of 1.2 cm and a frequency of 18.5 Hz.How does the speed of these water waves compare to the typical speed of a personwalking?
Question
The speed of a wave is calculated using the following equation.wave speed = frequency × wavelengthThe water waves in a ripple tank have a wavelength of 1.2 cm and a frequency of 18.5 Hz.How does the speed of these water waves compare to the typical speed of a personwalking?
Solution
To answer this question, we first need to calculate the speed of the water waves using the given formula: wave speed = frequency × wavelength.
Step 1: Convert the wavelength from cm to m, because the standard unit of measurement for wavelength in this context is meters (m). 1.2 cm = 0.012 m.
Step 2: Substitute the given values into the formula. The frequency is given as 18.5 Hz and the wavelength as 0.012 m.
So, wave speed = 18.5 Hz × 0.012 m = 0.222 m/s.
The typical speed of a person walking is about 1.4 m/s.
Comparing the two speeds, the speed of the water waves (0.222 m/s) is much slower than the typical speed of a person walking (1.4 m/s).
Similar Questions
Water waves in the sea are observed to have a wavelength of 300 m and a frequency of 0.07 Hz. The speed of these wave isA 0.00021 m/s B 21 m/s C 2.1 m/s D 210 m/s
Wave X has the same frequency as wave Y. If wave X has twice the wavelength of Y, how does the speed of X compare to Y?A X has 1414 the speed of Y.B X has 1212 the speed of Y.C X has the same speed as Y.D X has twice the speed of Y.
A sound wave travels from air into water. In air, the sound wave travels at a speed of 340 m/s and has a wavelength of 20 m, and in water, it travels at a speed of 1500 m/s. Calculate the wavelength of the sound wave in water.88.24 m4.53 m0.01 m25,500 m
A device at the bottom of the sea emits a sound wave of frequency 200 Hz.(i) The speed of sound in sea-water is 1500 m / s.Calculate the wavelength of the sound in sea-water.
Some students are using the apparatus below to observe waves in a solid. The frequency of the generator is 19Hz. The wavelength of the waves in the string is 0.2m. Calculate the wave speed. Give your answer to two significant figures.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.