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Remember: This Week Read Ch. 8: And read Dr. Dubson’s excellent notes on Ch. 8 ASAP. CAPA assignment #11 is due this Friday at 10 PM, to be done on -line. Face-Book CAPA Group: CAPA2010. Lab 5 this week: Rotational Dynamics. Do Pre-Lab, print & bring it and the Lab 4 Manual to your Lab Session. Don’t Forget: 3 rd mid-term exam next Tuesday evening at 7:30 PM: CH. 6 Work and Energy CH. 7 Momentum CH. 8 Rotational Motion. L30 M 3/29/10 1 Physics 2010

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L30 M 3/29/10 Physics 2010 2 Rotational Kinematics Describing rotational motion = a tan r = v r = 2 π τ = 2 f angle of rotation (rads) angular velocity (rad/s) angular acceleration (rad/s 2 ) = r α +: CCW -: CW
L30 M 3/29/10 Physics 2010 3 Rotational Kinematics Describing rotational motion = a tan r = v r = 2 π τ = 2 f angle of rotation (rads) angular velocity (rad/s) angular acceleration (rad/s 2 ) Recall that centripetal acceleration is expressed in terms of tangential velocity as: a r = v 2 /r. How is it expressed in terms of angular velocity ω ? A) a r = ω 2 /r B) a r = r ω D) a r = r 2 ω 2 a r = v 2 /r = (r ω ) 2 /r = r ω 2

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L30 M 3/29/10 Physics 2010 4 Rotational Kinematics Describing rotational motion = a tan r = v r = 2 π τ = 2 f constant angle of rotation (rads) angular velocity (rad/s) angular acceleration (rad/s 2 ) v = v 0 + at x = x 0 + v o t + 1 2 at 2 v 2 = v 0 2 + 2 a Δ x ω = 0 + α t θ = 0 + o t + 1 2 t 2 2 = 0 2 + 2 αΔθ Constant acceleration a: Constant angular acceleration α :
L30 M 3/29/10 Physics 2010 5 ω = 0 + α t = v r = 2 π τ = 2 f θ = 0 + o t + 1 2 t 2 2 = 0 2 + 2 αΔθ A space ship is initially rotating on its axis with an angular velocity of ω 0 = 0.5 rad/sec. The Captain creates a maneuver that produces a constant angular acceleration of α = 0.1 rad/sec 2 for 10 sec.

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