1 00:00:00,000 --> 00:00:00,610 2 00:00:00,610 --> 00:00:04,750 You've probably heard that the top speed of some type of 3 00:00:04,750 --> 00:00:09,060 aircraft is Mach 2. 4 00:00:09,060 --> 00:00:13,070 Or maybe you've watched some type of science fiction movie, 5 00:00:13,070 --> 00:00:15,465 or some type of fighter movie, where they say, hey we are 6 00:00:15,465 --> 00:00:21,050 going to travel at Mach 1.8. 7 00:00:21,050 --> 00:00:23,480 And you had a sense, because they're using it in the same 8 00:00:23,480 --> 00:00:25,680 context that you would use as speed, that this is 9 00:00:25,680 --> 00:00:27,660 some type of speed. 10 00:00:27,660 --> 00:00:31,350 That these numbers represent some type of speed. 11 00:00:31,350 --> 00:00:33,750 And if you assume that, you were right. 12 00:00:33,750 --> 00:00:38,340 And the speeds they represent are actually a multiple, or 13 00:00:38,340 --> 00:00:40,340 depending on how you want to view it, multiples or 14 00:00:40,340 --> 00:00:44,880 fractions of the speed of sound in that medium. 15 00:00:44,880 --> 00:00:49,050 So if someone tells you that the Mach number is 2, what 16 00:00:49,050 --> 00:00:56,570 that tells you is that they are traveling two times the 17 00:00:56,570 --> 00:01:07,340 speed of sound, in that medium, for those conditions. 18 00:01:07,340 --> 00:01:11,460 And I make those last two qualifiers on it because the 19 00:01:11,460 --> 00:01:13,840 speed of sound is not always the same. 20 00:01:13,840 --> 00:01:16,100 It has a different speed depending on whether it's 21 00:01:16,100 --> 00:01:20,430 traveling in air, or water, or even depending on what makes 22 00:01:20,430 --> 00:01:21,910 up the air. 23 00:01:21,910 --> 00:01:24,600 And even if it is only traveling in a certain type of 24 00:01:24,600 --> 00:01:29,050 air, or a certain makeup, a mix of gases, it'll also 25 00:01:29,050 --> 00:01:30,960 change depending on the temperature. 26 00:01:30,960 --> 00:01:36,050 So if you're at sea level, at roughly about 20 degrees 27 00:01:36,050 --> 00:01:40,270 Celsius, the speed of sound is 300, so sea level-- do a 28 00:01:40,270 --> 00:01:43,230 different color, maybe blue for sea level-- so if you're 29 00:01:43,230 --> 00:01:48,960 at sea level, the speed of sound is about 30 00:01:48,960 --> 00:01:52,070 340 meters per second. 31 00:01:52,070 --> 00:01:55,080 This is at 20 degrees Celsius, so it's a nice comfortable 32 00:01:55,080 --> 00:02:03,820 temperature at sea level, which is roughly about 760 33 00:02:03,820 --> 00:02:05,800 miles per hour. 34 00:02:05,800 --> 00:02:10,240 Now if the temperature were to drop, so if temperature goes 35 00:02:10,240 --> 00:02:16,220 down, so does the speed of sound. 36 00:02:16,220 --> 00:02:21,170 37 00:02:21,170 --> 00:02:23,520 And likewise, if the temperature goes up, the speed 38 00:02:23,520 --> 00:02:24,870 of sound goes up. 39 00:02:24,870 --> 00:02:28,580 So when someone tells you that something is traveling at Mach 40 00:02:28,580 --> 00:02:31,320 2, they're saying its traveling at two times the 41 00:02:31,320 --> 00:02:33,660 speed of sound for that medium. 42 00:02:33,660 --> 00:02:35,250 Usually they're talking about something 43 00:02:35,250 --> 00:02:36,380 traveling through air. 44 00:02:36,380 --> 00:02:39,300 And for the speed of sound at the temperature that they're 45 00:02:39,300 --> 00:02:39,720 going through. 46 00:02:39,720 --> 00:02:42,250 So if they're at some super-high altitude, and 47 00:02:42,250 --> 00:02:45,230 normally to travel at these types of speeds, you have to 48 00:02:45,230 --> 00:02:49,300 be at a fairly high altitude where the air is less dense. 49 00:02:49,300 --> 00:02:52,270 You're also traveling in an environment where the 50 00:02:52,270 --> 00:02:57,240 temperature is significantly lower than 20 degrees Celsius. 51 00:02:57,240 --> 00:03:00,100 So you might say, hey, does that mean if someone's 52 00:03:00,100 --> 00:03:02,090 traveling at Mach 2, does that mean that they're definitely 53 00:03:02,090 --> 00:03:05,560 traveling at 680 meters per second, or at 54 00:03:05,560 --> 00:03:08,440 1520 miles per hour? 55 00:03:08,440 --> 00:03:10,160 And of course, whenever someone gives an air speed, 56 00:03:10,160 --> 00:03:11,270 it's relative to the air. 57 00:03:11,270 --> 00:03:12,310 And the answer is no. 58 00:03:12,310 --> 00:03:14,180 They're probably going to be traveling a little bit slower 59 00:03:14,180 --> 00:03:16,270 than that, because at the altitude that they're 60 00:03:16,270 --> 00:03:18,580 traveling the speed of sound is lower. 61 00:03:18,580 --> 00:03:21,980 Now there are ground speed records where they are 62 00:03:21,980 --> 00:03:24,860 traveling in kind of the Mach range where their velocities 63 00:03:24,860 --> 00:03:27,070 are high enough to say it in terms of Mach. 64 00:03:27,070 --> 00:03:30,400 And for those types of situations, they are traveling 65 00:03:30,400 --> 00:03:36,400 at multiples of 760 miles per hour, 340 meters per second. 66 00:03:36,400 --> 00:03:39,280 Now you're probably saying, hey, who is this person right 67 00:03:39,280 --> 00:03:41,780 here that I've cut and pasted from Wikipedia? 68 00:03:41,780 --> 00:03:43,240 And this Ernst Mach. 69 00:03:43,240 --> 00:03:49,330 And this is who the Mach number is named after. 70 00:03:49,330 --> 00:03:53,440 Ernst Mach, and he was this Austrian physicist and 71 00:03:53,440 --> 00:03:54,214 philosopher. 72 00:03:54,214 --> 00:03:57,780 He did a ton of research on shockwaves and 73 00:03:57,780 --> 00:03:59,060 soundwaves, and whatnot. 74 00:03:59,060 --> 00:04:03,360 So the Mach number is named after him. 75 00:04:03,360 --> 00:00:00,000