# How can I create sonic boom using personalized katana?

Using early 21st century technology how do I design a katana that can only be wielded by its owner and also to execute a special attack? In my story the surviving samurai still practice bushido (code of conduct) and they will be trained on how to swing the special katana. This katana is customised according to each individual and the razor sharp blade will turn into rubber if either not wielded by owner or switched to training mode. The user can also execute a special attack using the special katana called "vacuum slicer" by moving the blade quickly enough to generate a sonic boom that can cause significant damage to the opponent/enemy. My question is how can I produce a sonic boom using this special katana?

• What is "early 21st century technology"? Do you mean current day technology? Because then you're already going to have a problem with the katana turning into rubber, let alone making sonic booms... – Theik Aug 11 '15 at 11:24
• Another problem - the "damaging sonic boom" would affect the samurai as well (also, his allies, innocent bystanders etc). He might use it as the last resort, but in this case it'd be easier to have a small grenade or something. – user8808 Aug 11 '15 at 12:09
• Also take a look at this post. Lots of math. We like math. worldbuilding.stackexchange.com/questions/18032/… – Magic-Mouse Aug 11 '15 at 12:33
• Sonic booms actually do remarkably little damage to anything which is not rigid. It's effective at shattering glass window panes, but the effects on the human body are mediocre at best. I would say the razor sharp blade passing through internal organs generates the real damage. – Cort Ammon - Reinstate Monica Aug 11 '15 at 20:51

A sonic 'boom' depends on the velocity of a projectile through the air - it needs to travel faster than sound.

A whip crack is an example of a small sonic boom and there lies your problem. A sonic boom that causes damage has to be produced by displacing a very large volume of air. Your blade isn't going to do that - no matter how fast it is wielded.

Maybe you could cause temporary damage to someone's hearing by producing the sound near to their ear, but if you do that with a sharp blade then you've probably followed through and sliced through their shoulder to a considerable depth. This would sever a number of vital blood vessels thus causing death within moments.

The cracking sound a bullwhip makes when properly wielded is, in fact, a small sonic boom. The end of the whip, known as the "cracker", moves faster than the speed of sound, thus creating a sonic boom. The whip is probably the first human invention to break the sound barrier.

Sonic boom - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Sonic_boom

• Of course, at such speeds cracker can cut really deep. Skin, muscles, sometimes fractured bone. But that's not the sound, just a fast piece of string is doing that. – Mołot Jan 23 '17 at 13:40
• It also often damages the cracker, I imagine the hard brittle steel katana's are made from will not withstand repeated sonic booms well. – John Jan 23 '17 at 16:19
• @John Sword steel is chosen for lack of brittleness, and heat treated a lot lower than, say, knives. also, OP specified that his katana can and "will turn into rubber", so that's not an issue. – Mołot Jan 25 '17 at 14:33
• Katana on the other hand were made from pig iron, and were rather brittle , which is why they are made so heavy and thick for a saber of their size. . Since the OP has not told us how his sword turns to rubber I have to assume magic and thus treat the sword as if made of normal matter. – John Jan 25 '17 at 21:40

As chasly mentioned, a sonic boom is caused when something breaks the sound barrier. The speed of sound on Earth is approximately 340 m/s, so your katana will have to be going that fast in order to 'boom'. You could strap it to a fighter jet to achieve those speeds, but I assume you want to do this the old-fashioned way, and accelerate it with pure human strength.

Let's assume the samurai winds all the way up for this strike, and thrusts the katana straight forward as far as it'll go. At the absolute maximum, assuming he doesn't jump, I'd say we can get the length of two legs, two bodies, and two arms(reaching all the way back to reaching all the way forward). I found the average height of a human to be 175cm, so cut off the head (like the samurai do) and you've got about 145cm. The average arm length is 65. So

$145 \; cm \times 2 + 65 \; cm \times 2 = 420 \; cm = 4.20 \; m$

That is the distance the katana will be travelling. Using the equation v=at (v is change in velocity, a is acceleration, t is time), and knowing we want to get to the speed of sound, we get

$v = a \times t\\ 340m/s = a \times t$

Plugging this and our distance into the equation $x=1/2\,a\, t^2$, we get

$4.2\;m = 1/2 \times a \times t \times t \\ 4.2\;m = 1/2 \times 340 \;m/s \times t \\ 4.2\;m = 170\;m/s \times t\\ 4.2\;m = 170 \;m/s = t\\ t = 0.0247s$

That means your samurai has about 2 and a half milliseconds to begin and end their strike in order to achieve the desired velocity in the given distance. They could do it faster, but this is the absolute longest it can take. Plugging this value of t back into the first equation, we get

$340\;m/s = a * 0.0247s\\ 340\;m/s \; / \; 0.0247 \;s = a\\ a = 13765\;m/s^2$

And I have no idea how to get that much acceleration. Since this is the maximum distance you have to accelerate, and probably the fastest way you can move a katana (not to mention a thrust is going to have less air resistance, which was not factored into this answer), I'm going to say it's effectively impossible using anything close to a katana and samurai.

You could probably just fire it out of a really big gun though.

• If anyone wants to put some Latex into this, feel free. – DaaaahWhoosh Aug 11 '15 at 20:25

You would need a fake katana - something more than a real katana.

"Only the owner can wield it" is relatively easy, even if much depends on who you're going to fool and what exactly is meant by "wield".

Recognizing the owner is the easy part: fingerprint (or palmprint) we already have, and we are not very far from fast and reliable DNA checks.

Deactivating the sonic effect is also easy, since it cannot be obtained through blade motion imparted from the outside - no swordsman can move the blade at the required ~333 m/s. So you need to get it through some trick, i.e. technology and a energy source hidden in the blade, or more likely in the handle. Therefore, simply turn off the energy source, and no sonic boom.

Making it impossible to wield the weapon as a katana is difficult, though.

The two options I see are: