# Lecture10 - PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 10...

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PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 10

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Elastic Collisions: Multi-part Collision Problems (conserve E or p) Angular motion Last Lecture m 1 v 1 i + m 2 v 2 i = m 1 v 1 f + m 2 v 2 f v 1 i - v 2 i = - v 1 f - v 2 f ( ) s = r q ( q  in radians)
Angular Speed Can also be given in Revolutions/s Degrees/s Linear (tangential) Speed at r v t = D s D t = r D q D t v t = r w ϖ= ∆θ t = q f - q i t f - t i ( ϖ in rad/s) (in rad/s)

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Example 7.2 A race car engine can turn at a maximum rate of 12,000 rpm. (revolutions per minute). a) What is the angular velocity in radians per second. b) If helicopter blades were attached to the crankshaft while it turns with this angular velocity, what is the maximum radius of a blade such that the speed of the blade tips stays below the speed of sound. DATA: The speed of sound is 343 m/s a) 1256 rad/s b) 27 cm
Angular Acceleration Denoted by α ϖ in rad/s α rad/s² Every point on rigid object has same ϖ and α α= ϖ f - w i t

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Rotational/Linear Correspondence: ∆θ ↔ ∆ x w 0 « v 0 w f « v f a « a t « t
cont’d Rotational Motion Linear Motion ∆θ = ϖ 0 + w f ( ) 2 t ∆θ = ϖ 0 t + 1 2 a t 2 f = w 0 + a t f 2 2 = w 0 2 2 + a D q ∆θ = ϖ f t - 1 2 a t 2 x = v 0 + v f ( ) 2 t Constant α Constant a

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Lecture10 - PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 10...

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