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Created by Fatima Saleem
about 8 years ago
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Question | Answer |
Angular Displacement | The change in angle of an object moving in a circular path |
SI Units | Degrees |
What is the angular displacement in one complete circle | 1 complete revolution= 360 degrees = 2π rad |
One Radian | Angle subtended at the centre of the circle by an arc length equal to the radius of the circle |
Relationship b/w S and ϴ | S=rϴ |
Angular Velocity | The rate of change of angular displacement w.r.t time |
Formula 1 | w = ϴ / t |
SI Units | rad / s |
Frequency | Number of revolutions per second |
Relationship b/w angular velocity and frequency | w= ϴ / t ϴ= 2π t= T w= 2π/T w= 2πf |
Relationship b/w linear velocity and angular velocity | v=rw |
Direction of linear velocity | Tangent to the circle at any point |
Acceleration | Rate of change of velocity with respect to time |
Explain the change in velocity even if it's moving with constant speed | velocity is a vector quantity. magnitude and direction are equally important direction changes continuously magnitude is constant |
Direction of acceleration | Towards the centre of the circle |
Formula for Acceleration 1 | a= vw |
Formula 2 | a= rw² |
Formula 3 | a= v²/r |
Is an object moving in circular path in equilibrium? | Direction changes, so does velocity. Hence object is accelerating. Hence there must be an external unbalanced force. Hence object is not in equilibrium. |
Identify unbalanced force | Centripetal force |
Centripetal Force | Force that keeps an object moving in a circular path |
Direction of Centripetal Force | Towards the centre of the circle, along the direction of acceleration |
Direction of force is in the same direction as motion of the object | Causes an acceleration in the sense that speed of the object changes as in magnitude of the velocity changes |
Direction of force is perpendicular to the direction of motion | Causes an acceleration in the sense that the direction of velocity changes ( speed does not change) Object moves in circular path |
In conical pendulum, what causes centripetal force | Tsinϴ= Fc Tsinϴ= mv²/r |
In the example of a car moving around a curve, what causes Fc | Friction |
In turning of an aircraft in air, what is Fc | Lsinϴ L= lift force |
What is Fc in Earth orbiting the Sun? | GMm/ r² |
Fc in charged particle moving perpendicularly in a magnetic field | Bqv |
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