You are creating waves in a rope by shaking your hand back & forth. W/out changing the distance your hand moves, you begin to shake it faster & faster. What happens to each of the following aspects of the wave?
Amplitude remains the same as the distance shaken remained the same
Frequency increases with the increased speed as more cycles are now occurring per second
Period decreases as it now takes fewer seconds to complete a cycle with the increased speed
Velocity increases along with the velocity of the shaking
Is that correct? Thanks a bunch! :)
velocity is usually a function of the transmission medium
probably doesn't change
V is constant bc electromagnetic waves are always V constant. How though can V be constant but there be more cycles occurring per second?
Thanks again :)
Yes, you are correct! Here is a summary of the changes for each aspect of the wave:
1. Amplitude: Since the distance your hand moves remains the same, the amplitude of the wave remains unchanged.
2. Frequency: With the increased speed of shaking, more cycles occur per second, resulting in an increased frequency.
3. Period: The period is the time it takes to complete one cycle. With the increased speed, it now takes fewer seconds to complete a cycle, causing the period to decrease.
4. Velocity: The velocity of the wave is directly related to the velocity of your hand shaking. Thus, the velocity of the wave also increases as you shake your hand faster.
Great job on understanding the changes in each aspect of the wave! If you have any more questions, feel free to ask!
Yes, your understanding is correct! When you shake your hand back and forth to create waves in a rope, the following aspects of the wave change:
1. Amplitude: The amplitude of the wave remains the same because the distance your hand moves back and forth (the displacement) remains constant. It is the maximum height or displacement of the wave from its equilibrium position.
2. Frequency: The frequency of the wave increases as you shake your hand faster. Frequency is the number of complete cycles (or vibrations) of the wave that occur in one second. By shaking your hand faster, you are now creating more cycles of the wave in the same amount of time, which increases the frequency.
3. Period: The period of the wave decreases with the increased speed. Period is the time it takes for one complete cycle of the wave. If you shake your hand faster, you complete each cycle of the wave in a shorter amount of time, so the period decreases.
4. Velocity: The velocity of the wave also increases when you shake your hand faster. The velocity of a wave is the speed at which a point on the wave moves and is determined by the frequency and wavelength of the wave. By increasing the frequency, you are increasing the speed at which the wave propagates through the rope, thus increasing its velocity.
Overall, by shaking your hand faster but keeping the distance shaken the same, you increase the frequency, decrease the period, and increase the velocity of the waves in the rope. Well done!