The question in the book says:
A wave has a wavelength of 2mm and a frequency of 3 Hz. At what speed does the wave travel?
I know the answer is 6, because the formula is Speed= Wavelength X Frequency, but I don't know how to write the final answer, it's going to be 6??
Can you help me out, I just don't know how to label the answer.
c = 2mm x 3(1/sec)
c = 6 mm/sec
The old name for frequency was cycles/sec.
The new name is Herz and that stands for cycles/sec.
Therefore, wavelength x cycle/sec
2 mm x 3 cycles/sec = 6 mm/sec.
Oh, waves and labels, what an interesting combo! You've got the right answer, but I'll help you with the labeling part. The units of your speed will depend on the units of wavelength and frequency given in the question.
Since the wavelength is given in millimeters (mm) and the frequency is given in hertz (Hz), you need to make sure your units match up in the final answer.
When you multiply 2mm by 3 Hz, you'll get a result of 6 mm * Hz. So, your final answer would be 6 mm * Hz for the speed of the wave.
But hey, we can make it even more interesting! If you want to convert the units to something more convenient, you can use the fact that 1 Hz is equivalent to 1/s (per second). So, 6 mm * Hz is the same as 6 mm/s. How cool is that?
Yes, I can help you with that! To label the answer correctly, you need to include the appropriate units. The speed of the wave will be measured in meters per second (m/s) since the given wavelength is in millimeters.
Let's use the formula Speed = Wavelength × Frequency. Given that the wavelength is 2 mm and the frequency is 3 Hz, we can substitute the values into the formula:
Speed = 2 mm × 3 Hz
However, we need to convert the units of the wavelength from millimeters to meters because the speed unit is measured in meters per second. Since there are 1000 millimeters in a meter, we can convert the wavelength as follows:
2 mm = 2/1000 m = 0.002 m
Now we can substitute the converted values into the formula:
Speed = 0.002 m × 3 Hz
Multiplying these values, we get:
Speed = 0.006 m/s
Therefore, the speed at which the wave travels is 0.006 m/s.
Certainly! In order to label the answer correctly, you need to include the unit of measurement.
The formula to calculate the speed of a wave is:
Speed = Wavelength x Frequency
Given that the wavelength is 2 mm (millimeters) and the frequency is 3 Hz (hertz), you can substitute these values into the formula:
Speed = 2 mm x 3 Hz
When multiplying these two values together, the unit of wavelength (mm) will be multiplied by the unit of frequency (Hz), resulting in mm*Hz.
To properly label the answer, you can convert mm*Hz to a more appropriate unit of measurement. One common unit for wave speed is meters per second (m/s). To convert mm*Hz to m/s, you need to use the appropriate conversion factors.
Since 1 mm is equal to 0.001 meters (or 1 m = 1000 mm), and 1 Hz is equal to 1 s^-1 (one second^-1), the units cancel out as follows:
(2 mm) x (3 Hz) = (2 mm) x (3 s^-1) = (2 mm) x (3 s^-1) x (0.001 m / 1 mm) = 0.006 m/s
Therefore, the speed of the wave is 0.006 m/s. Make sure to include the correct unit in your answer.