The figure below represents a periodic wave. Each increment on the equilibrium line is 760 cm. What is the wavelength for this wave (in m)?If the wave in the figure above has a frequency of 60 Hz, what is the wave's speed?
To find the wavelength of the wave, we need to recognize that one full wavelength corresponds to one cycle of the wave.
Since each increment on the equilibrium line is given as 760 cm, we can use this as the wavelength of the wave. However, we need to convert it to meters since the unit for wavelength is usually given in meters.
To convert from centimeters to meters, we divide by 100:
760 cm ÷ 100 = 7.6 m
Therefore, the wavelength of the wave is 7.6 m.
Now, to find the wave's speed, we can use the formula:
Speed (v) = Frequency (f) × Wavelength (λ)
Given that the frequency is 60 Hz and the wavelength is 7.6 m, we can substitute these values into the equation:
Speed (v) = 60 Hz × 7.6 m
Calculating the expression gives us:
Speed (v) = 456 m/s
Therefore, the wave's speed is 456 m/s.
To find the wavelength of the wave, we need to measure the distance between two consecutive peaks or troughs. In the given figure, each increment on the equilibrium line represents 760 cm. So, we need to find the distance between two consecutive peaks or troughs in centimeters.
To find the wavelength in meters, we need to convert the distance from centimeters to meters. Since 1 meter is equivalent to 100 centimeters, we can convert the distance by dividing it by 100.
Therefore, the wavelength of the wave can be calculated by dividing the distance in centimeters by 100.
To find the wave's speed, we can use the formula:
speed = wavelength * frequency
Given that the frequency of the wave is 60 Hz (60 waves per second), and we have already determined the wavelength, we can substitute the values into the formula to calculate the wave's speed.
Please provide the distance between two consecutive peaks or troughs in centimeters from the figure, and I can help you calculate the wavelength and the speed of the wave.