Ex_rotation_kinematics

Ex_rotation_kinematics - 2D Rigid body kinematics Rotation...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
2D Rigid body kinematics – Rotation about a fixed pivot I. General rotation 21 Angular position: in radians average angular velocity Angular velocity: instantaneous angular velocity average angular acceleration Angular acceleration : ave ave tt t d dt θ θθ ω α Δ == Δ− = Δ = Δ 2 2 instantaneous angular acceleration t 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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 3

Ex_rotation_kinematics - 2D Rigid body kinematics Rotation...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online