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A body is moving on a curved path with a constant speed. What is the nature of its acceleration?

CLASS - XI PHYSICS (Kinematics)

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CLASS - XI PHYSICS (Kinematics)

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A body moving on a curved path has a constant speed. It has a varying velocity. Velocity varies in direction. So the difference in the vectors of velocities give rise to the acceleration. As speed V is constant , the body turns equal angles Ф in equal intervals of time . so angular velocity ω is constant.

The change in magnitude of velocity is V2-V1. The magnitude is radius times the angle through which the body turns.

V2 - V1 = radius * angle turned = R * Ф = R * ω * time duration

acceleration = ΔV/Δt = R ω since R and ω are constant, a is constant in magnitude.

acceleration varies in direction as it is always pointing towards the center of circular path or curved path.

The change in magnitude of velocity is V2-V1. The magnitude is radius times the angle through which the body turns.

V2 - V1 = radius * angle turned = R * Ф = R * ω * time duration

acceleration = ΔV/Δt = R ω since R and ω are constant, a is constant in magnitude.

acceleration varies in direction as it is always pointing towards the center of circular path or curved path.