Rotational Motion
Transcript
Ghoomta hua fan ya cycle ka wheel, yeh sab kaise chalta hai?
Rotation matlab koi cheez ek fixed axis ke around ghoomti hai, jaise fan ya merry-go-round.
Pehle straight line motion yaad karo, jisme cheez ek jagah se doosri jagah seedhi jaati hai.
Rotation mein har point ek circle banata hai, aur axis ke paas wala point sabse kam ghoomta hai. Ab angle ki baat karte hain. Rotation mein hum angle theta se naapte hain, jise radians mein likhte hain. Ek poora chakkar yaani 360 degree, aur yeh barabar hota hai 2 pi radians ke.
- Angle = theta (radians)
360^\circ = 2\pi \text{ radians}Angular velocity batati hai ki cheez kitni tezi se ghoom rahi hai, yaani angle badalne ki speed.
- omega = rotation ki speed
\omega = \frac{\theta}{t}Agar fan 2 second mein ek poora chakkar lagaye, toh uski angular velocity pi radians per second hogi.
\omega = \frac{2\pi}{2} = \pi \text{ rad/s}Ab dekho, linear speed aur angular speed ka rishta. Bahar wala point tezi se chalta hai, kyunki uska circle bada hai.
v = r\,\omegaJaise straight motion mein force acceleration deti hai, waise rotation mein torque ghumane wala effect deta hai.
Torque force aur distance dono pe depend karta hai, isliye darwaze ko handle ke paas se dhakelna aasaan hota hai.
\tau = r \times FMoment of inertia batata hai ki cheez ghoomne ka kitna virodh karti hai, jaise mass straight motion mein.
Skater jab haath andar kheenchti hai, toh uska moment of inertia kam hota hai aur woh tez ghoomti hai.
Sab ko ek saath dekhte hain: rotation ke har concept ka straight motion mein ek jodidaar hota hai. Ab ek sawaal: fan ke blade ka kaunsa point sabse tez chalta hai? Summary: rotation mein cheez axis ke around ghoomti hai, aur angle, omega, torque aur moment of inertia isko samjhate hain.
Quick quiz
Q1. Ghoomte fan ke blade pe kaunsa point sabse tez chalta hai?
Kyunki v = r omega, jitna bada r, utni zyada speed.
