A wave is determined to have a frequency of 12 Hz and a wavelength of 8.5 meters. What is the speed of the wave? Show all of your work, including the formula and correct units.
I am not really sure how to set up the equation for this.
Speed= wavelength x frequency...
So would it just be:
Speed= 12Hz x 8.5m?
But then how do i multiply that when it has Hz and meters?
To find the speed of the wave, you can use the formula:
Speed = wavelength x frequency
In this case, the wavelength is given as 8.5 meters and the frequency is given as 12 Hz.
To multiply quantities with different units, such as meters and hertz, you need to ensure that the units cancel out correctly. In this case, the wavelength is in meters and the frequency is in hertz (per second), so the resulting unit for speed will be meters per second.
Therefore, the calculation for the speed of the wave is:
Speed = 8.5 meters x 12 Hz
Now, you can multiply the values:
Speed = 102 meters x Hz
To obtain a valid answer, you need to have the correct unit for speed. Since the unit of frequency is Hz (per second), you need to divide the value by seconds to cancel out the Hz. One second divided by one second equals one, simplifying the calculation to:
Speed = 102 meters/second
So, the speed of the wave is 102 meters per second.