Ex_rotation_kinematics

# Ex_rotation_kinematics - 2D Rigid body kinematics Rotation...

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2D Rigid body kinematics – Rotation about a fixed pivot I. General rotation 21 Angular position: average angular velocity Angular velocity: instantaneous angular velocity average angular acceleration Angular acceleration: ave ave tt t d dt t θ θθθ ω ωω α Δ− == = Δ Δ 2 2 instantaneous angular acceleration dd dt dt II. Rotation with constant angular acceleration 0 2 00 22 1 2 2( ) t ωω α θω ωα =+ =+ + 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 angle of 325 rad from t = 0 to the time it stops. Find the angular deceleration of the wheel and total time of rotation. Ans : –4 rad/s 2 , 15 s

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III. Relating rotation of rigid body and translation at a point on the body – Relating angular motion of rigid body and linear motion of a point on the body
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## This note was uploaded on 04/06/2008 for the course PHYS 2305 taught by Professor Tschang during the Fall '08 term at Virginia Tech.

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Ex_rotation_kinematics - 2D Rigid body kinematics Rotation...

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