Time transcripts of tsunamiSpeed [00:00:00:010] We are going to calculate the velocity of the tsunami now. All we need [00:00:04:020] is to know the formula [00:00:08:020] distance = rate x time [00:00:12:030] And we just rearrange that so that rate is over here by itself. [00:00:16:040] Which means we are going to divide distance by time. That's fun because [00:00:20:040] we already know those, right? We know that the distance is [00:00:24:050] 551.9 km and we know that the time is [00:00:28:060] 0.468 hours [00:00:32:070] So this gives us a velocity of 1,179 [00:00:36:080] km/hr. Wow. [00:00:40:080] I don't know if you have any intuition about [00:00:44:090] how fast a tsunami goes in the open ocean. It's really fast, but it's not quite [00:00:48:090] as fast as this. Well, so where did we go wrong? [00:00:52:100] Nothing about our method is wrong, but this is a good time to talk about uncertainty. [00:00:56:100] This station is really close to the earthquake. Let's just imagine [00:01:00:110] a thought experiment here where you've got a station that takes a data [00:01:04:120] sample every 15 minutes, but let's say that [00:01:08:130] the tsunami only takes 45 minutes to get to that station. Being uncertain [00:01:12:140] plus or minus 15 minutes out of 45 minutes is huge! [00:01:16:140] It's a big uncertainty compared to the measurement you are making. [00:01:20:150] Let's say that you've got a station that takes data every 15 minutes and the tsunami [00:01:24:160] takes 8 hours to get there. Well, 15 minutes out of 8 hours is not nearly [00:01:28:160] as big of a deal. The absolute value [00:01:32:170] of your uncertainty can matter a lot more depending on its [00:01:36:190] relationship to the real size of the measurement you're making. [00:01:40:190] That is a really really important concept in any branch of science, so just think about that. [00:01:44:200] [00:01:48:200] But, anyway, look, this is real data, this is real life, it has uncertainties, [00:01:52:210] and that's okay. It doesn't fit neatly into multiple choice tests [00:01:56:220] designed by bureaucrats, but that's okay, that's the way it is. [00:02:00:230]