Rotation kya hota hai?
Transcript
Ek spinning top ko dekho, rotation har jagah hai!
Rotation matlab kisi cheez ka ek fixed point ke around ghoomna, jaise top, pankha aur Earth.
Har rotation ke paas ek center hota hai, jiske around cheez ghoomti hai. Ab dusri cheez: angle. Rotation kitna hua, ye angle degrees mein batata hai.
- Center = fixed point
Ek poora chakkar teen sau saath degrees ka hota hai, aur aadha chakkar ek sau assi degrees. Direction bhi important hai. Clockwise matlab ghadi ki direction mein, anticlockwise matlab ulti direction mein. Maths mein anticlockwise rotation ko positive angle maante hain.
- Anticlockwise = positive
Ek example lete hain: point jo x axis par hai, usko ninety degrees anticlockwise ghumao.
Dekho, point x axis se utha aur seedha y axis par pahunch gaya. Rule yaad rakho: ninety degrees anticlockwise mein point x, y ban jata hai minus y, x.
(x,\,y)\;\rightarrow\;(-y,\,x)Computer games aur robots mein 3D rotation ke liye quaternions use hote hain, jo Hamilton ne eighteen forty three mein banaye.
Recap karte hain: rotation ke teen main parts hain, center, angle aur direction. Ab ek sawaal: kisi cheez ko poora ek chakkar ghumao to kitne degrees hote hain? Summary: rotation matlab center ke around angle aur direction ke saath ghoomna.
- Rotation = center + angle + direction
Quick quiz
Q1. Ek poora chakkar kitne degrees ka hota hai?
Poora chakkar teen sau saath degrees ka hota hai.
