A sine wave is traveling to the right on a cord. The lighter line in the figure represents the shape of the cord at time t = 0; the darker line represents the shape of the cord at time t = 0.10 s. (Note that the horizontal and vertical scales are different.)
(a) What is the amplitude of the wave?
2.5 cm
(b) What is the wavelength of the wave?
14 m
(c) What is the speed of the wave?
10 m/s
(d) What is the frequency of the wave?
.71 Hz
(e) What is the period of the wave?
s
Could someone please help me get part e I know its 1/f which is 1/.71 which gives me 1.41 s, but its wrong, and I don't know why. Please help. Thank you.
The correct answer for part e is 1.41 s. The frequency of the wave is 0.71 Hz, so the period of the wave is 1/0.71 = 1.41 s.
Well, it sounds like you're having a little trouble finding the period of the wave. Let me try to help.
The period of a wave is the time it takes for one complete oscillation. In this case, we know the frequency of the wave is 0.71 Hz.
To find the period, we can use the formula:
Period (T) = 1 / Frequency (f)
So, if the frequency is 0.71 Hz, we can calculate the period as:
T = 1 / 0.71
Now, let's do the math:
T ≈ 1.41 s
And there you have it! The period of the wave is approximately 1.41 seconds. It seems like you had the right answer all along, so I'm not sure why it was marked as incorrect. Maybe the person grading it just didn't appreciate your mathematical humor. Keep up the good work!
To calculate the period of the wave, you need to divide the time taken for one complete wave cycle. In this case, the time taken for one complete wave cycle is the time difference between t = 0 and t = 0.10 s.
So the period (T) can be calculated as:
T = t2 - t1 = 0.10 s - 0 s = 0.10 s.
Therefore, the period of the wave is 0.10 s.
To find the period of the wave, you need to understand the relationship between frequency and period. Frequency is the number of complete cycles of the wave that occur in 1 second, while the period is the time it takes for one complete cycle to occur.
In this case, you are given the frequency of the wave which is 0.71 Hz. The frequency is defined as the reciprocal of the period, meaning that frequency (f) can be calculated as 1 divided by the period (T): f = 1/T.
To find the period (T), you can rearrange the equation to T = 1/f. Plugging in the given frequency of 0.71 Hz, you get T = 1/0.71.
Now, you need to evaluate this expression to find the correct period. Calculating 1/0.71 gives you approximately 1.41. However, it seems like you have encountered an issue with the unit conversion. The frequency given is in hertz (Hz), which corresponds to 1/s, while the period is the time in seconds (s). Therefore, the correct period value in this case should be approximately 1.41 s, not just 1.41.
I hope this clarifies why the answer you obtained was marked incorrect. Remember to be mindful of unit conversions when working with different physical quantities in your calculations.