Rotational Kinematics

Rotational Kinematics - 2D Rigid Body Kinematics Rotation...

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2D Rigid Body Kinematics – Rotation about a fixed pivot/Pure rotation I. General rotation Rotation of a rigid body: change of orientation of any arbitrary line on the body. 21 Angular position: angle measured from a chosen reference (unit: radians) average angular velocity Angular velocity (unit: rad/s): instantaneous angular velocit y An ave t tt d dt θ θθ ω = = ∆− = 2 2 2 average angular acceleration gular acceleration (unit: rad/s ): instantaneous angular acceleration ave dd dt dt ωω α ωθ = = = = II. Rotation with constant angular acceleration 0 2 00 22 1 2 2( ) t tt ωω α θθ ω αθ θ = + = ++ = +− For rotation with constant angular velocity: 0 0 0, t = = + Example A rotating wheel has an angular velocity of 10 rad/s at t = 0. The wheel starts to accelerate with a constant angular acceleration of 6 rad/s 2 for 5 s, and then slows down with a constant deceleration. The wheel rotates through a total
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Rotational Kinematics - 2D Rigid Body Kinematics Rotation...

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