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Angular Velocity and its relation with Linear Velocity Video Lecture | Physics for JEE Main & Advanced

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FAQs on Angular Velocity and its relation with Linear Velocity Video Lecture - Physics for JEE Main & Advanced

1. What is angular velocity and how is it related to linear velocity?
Ans. Angular velocity is a measure of how quickly an object rotates around an axis. It is defined as the rate of change of angular displacement with respect to time. Angular velocity is related to linear velocity through the formula v = rω, where v is the linear velocity, r is the radius, and ω is the angular velocity.
2. How is angular velocity calculated?
Ans. The angular velocity can be calculated by dividing the change in angular displacement by the change in time. Mathematically, it can be expressed as ω = Δθ/Δt, where ω is the angular velocity, Δθ is the change in angular displacement, and Δt is the change in time.
3. What are the units of angular velocity and linear velocity?
Ans. The units of angular velocity are radians per second (rad/s) or degrees per second (°/s), depending on the chosen unit for angular displacement. The units of linear velocity are meters per second (m/s) or any other unit of distance divided by time.
4. Can angular velocity be negative?
Ans. Yes, angular velocity can be negative. A negative angular velocity indicates that the object is rotating in the opposite direction compared to the chosen positive direction. The magnitude of the angular velocity remains the same, but the direction is reversed.
5. How does angular velocity affect the linear velocity of an object?
Ans. Angular velocity and linear velocity are directly proportional to each other. As the angular velocity increases, the linear velocity also increases, assuming the radius remains constant. This means that an object rotating faster around an axis will have a higher linear velocity at any given point on its path.
289 videos|635 docs|179 tests
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