作者PhysiAndMath (老師說要愛數學)
看板Physics
標題[問題] 普物 electromagnetic rail gun
時間Wed Aug 25 18:47:33 2010
An idealized schematic of an "electromagnetic rail gun",
which is designed to fire prejectiles at speeds up to 10km/s.
The projectile P sits between and in contact with two parallel
rails along which it can slide.
A generator G provides a current that flows up one rail,
across the projectile, and back down the other rail.
┌───────────────────┐
→→│ i → │
↑ └─────────┬─┬───────┘┬
↑ │i │ v │
G │↓│P → │ w
↓ │ │ │
↓ ┌─────────┴─┴───────┐┴
→→│ ← i │
└───────────────────┘
├───────────────────┤
L
(a) Lat w be the distance between the rails, r the radius of the rails
(presumed circular), and i the current. Show that the force on the
projectile is to the right and given approximately by
1 iiμ w+r
F = ─ ── ㏑───
2 π r
(b) If the projectile starts from the left end of the rail at rest
find the speed v at which it is expelled at the right.
我看不懂他r的描述到底是什麼
由於我是自修普物
可以的話麻煩回答詳細一點...
btw 我想知道如何"正確的"回答物理題目...
很多要按計算機的題目讓數學系出身的我很痛苦...
想順便請教一下各位前輩使用''使用計算機的訣竅''
題目出自 Physics - Halliday‧Resnick‧Krane - fifth edition ---- p.770
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◆ From: 59.116.5.250
1F:推 nightkid:你可以看 とある科學の超電磁砲 或許你就會懂了 08/25 19:28
2F:推 nightkid:r就是那兩個平行的軌道的半徑 他假設軌道是圓柱 08/25 19:35
3F:→ PhysiAndMath:謝謝 08/25 19:44
4F:推 nightkid:不過我覺得很奇怪 軌道有兩個 力應該要乘以2吧... 08/25 20:04
5F:→ nightkid:(使用無線長軌道做為近似) 以一邊軌道算力出來的確是這樣 08/25 20:05
6F:推 deepwoody:因為"迴路"只有剛好一條吧 08/25 20:13
7F:→ deepwoody:後半段的軌道沒有電流 也就沒有磁場 08/25 20:13
8F:推 nightkid:阿so! 倒忘了這件事XD 08/25 20:14
9F:→ nightkid:所以 其實是兩個半無限長直軌道的近似了 08/25 20:14
10F:→ nightkid:不過大推超電磁砲 真的很好看XD 08/25 20:18
那如果要求砲口的初速 是不是直接算 FL=動能 ??
※ 編輯: PhysiAndMath 來自: 59.116.5.250 (08/25 20:24)
11F:推 nightkid:應該就是這樣囉 08/25 20:30
12F:→ PhysiAndMath:感謝~ 08/25 20:31
13F:推 sukeda:美琴表示: 08/25 22:50