One of the questions for waves is about many dominoes standing next to each other. The question is, how to increase speed of the wave? My reasoning is that v = lambda x f. To increase speed, increase the wave length (or the distance between the dominoes). But it turns out that if I increase distance, then the time period for the wave is increased which reduces frequency proportionally. So does that mean that speed can never be increased? Where is the flaw in my reasoning and what is the answer according to you? Thanks!
The wavelength doesn't really correspond to the distance between the dominos, the wavelength would be more like "how much does each domino oscillate back and forth" which doesn't really make sense here. You can increase the speed by placing the dominos closer together. This animation shows why: twitter.com/UniverseAndMore/status/1393196462612402177
@@AndyMasley WOW! That animations is really intuitive. Any physics reasoning behind it? Does increasing frequency mean increasing the number of dominoes?
@@mrkhunt. This is an area I struggle with actually, I'm not totally sure how to relate them. I'd imagine that the frequency is higher because the time each domino takes to hit the next is shorter, so if we assume the wavelength stays the same but the frequency goes up, the velocity goes up?
@@AndyMasley I thought of 2 things: 1. let's take it to the extreme and just line each of the dominos next to each other without any distance at all. Now, there isn't any empty space like gas present between two consecutive dominoes. So the dominoes will go faster. But that is cyclical reasoning since we assumed that in gas, dominoes go slow and in solid they move faster. Not sure how that really proves the point though and 2. I found a project about someone measuring this. In their conclusion, they wrote something regarding the cumulative mass of dominoes toppling would increase, hence, if they are spaced closer, they move faster. I am not sure of this reason as well. And there is also a similar question on how to increase the wave speed in a stadium filled with fans of some sport who stand up and sit down. Basically performing SHM as a particle in wave. The answer to that is given by decreasing the space of people to reduce reaction time (maybe?) and overall increase the density of people per meter square. It gets difficult to relate the ideas of frequency and wavelength with real life examples
@@AndyMasley i believe it's because of the fact that the particles being closer together in solids allows them to return to their original position quicker after being deformed because of the strong intermolecular forces, hence the kinetic energy is transferred quicker. I believe this is why thunder is heard quicker underground because of the ground rather than through air
one of the better video lessons I've seen on wave graphs. Thank you.
life saver, thank you andy for these videos soo helpful
Thanks so much, I found the different types of wave graph to be somewhat confusing, but this helped clear that up.
i love these videos so much, i have my test tmr so i’m going through all the topic 4 vids
Good luck tomorrow!
Making uni much easier. Thank you great videos!
You learn this in uni?
One of the questions for waves is about many dominoes standing next to each other. The question is, how to increase speed of the wave? My reasoning is that v = lambda x f. To increase speed, increase the wave length (or the distance between the dominoes). But it turns out that if I increase distance, then the time period for the wave is increased which reduces frequency proportionally. So does that mean that speed can never be increased? Where is the flaw in my reasoning and what is the answer according to you? Thanks!
The wavelength doesn't really correspond to the distance between the dominos, the wavelength would be more like "how much does each domino oscillate back and forth" which doesn't really make sense here. You can increase the speed by placing the dominos closer together. This animation shows why: twitter.com/UniverseAndMore/status/1393196462612402177
@@AndyMasley WOW! That animations is really intuitive. Any physics reasoning behind it? Does increasing frequency mean increasing the number of dominoes?
@@mrkhunt. This is an area I struggle with actually, I'm not totally sure how to relate them. I'd imagine that the frequency is higher because the time each domino takes to hit the next is shorter, so if we assume the wavelength stays the same but the frequency goes up, the velocity goes up?
@@AndyMasley I thought of 2 things:
1. let's take it to the extreme and just line each of the dominos next to each other without any distance at all. Now, there isn't any empty space like gas present between two consecutive dominoes. So the dominoes will go faster. But that is cyclical reasoning since we assumed that in gas, dominoes go slow and in solid they move faster. Not sure how that really proves the point though
and 2. I found a project about someone measuring this. In their conclusion, they wrote something regarding the cumulative mass of dominoes toppling would increase, hence, if they are spaced closer, they move faster. I am not sure of this reason as well.
And there is also a similar question on how to increase the wave speed in a stadium filled with fans of some sport who stand up and sit down. Basically performing SHM as a particle in wave. The answer to that is given by decreasing the space of people to reduce reaction time (maybe?) and overall increase the density of people per meter square.
It gets difficult to relate the ideas of frequency and wavelength with real life examples
@@AndyMasley i believe it's because of the fact that the particles being closer together in solids allows them to return to their original position quicker after being deformed because of the strong intermolecular forces, hence the kinetic energy is transferred quicker. I believe this is why thunder is heard quicker underground because of the ground rather than through air
Hi, would just like know if half frequency is possible like 2.5 hertz? thanks
life saver
thank you
Thx a lot