exam4_page1 - and by rotation about its CG. Lets list the...

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Exam 4 SAR Physics AM Kolchin 1. Linear speed ( v ) is directly proportional to the rota- tional speed ( ω ) and the distance ( r ) of the point from the axis of rotation: v . 2. Centripetal Force on an object: F c = mv 2 r 3. Torque ( Γ): Γ = F d . The distance ( d ), is from the point at which the force is applied to the axis about which the torque is exerted. 4. Rotational Inertia (I): A small object of mass m , a dis- tance r from its axis of rotation, has a rotational inertia: I = mr 2 . 5. Rotational Acceleration ( α ): defined as rate of change of rotational speed per unit time: α = Δ ω/ Δ t . 6. Newton’s Second Law for Rotational Motion : Γ = . 7. Angular Momentum ( L ): L = . 8. Kinetic Energy : Total K.E. = Translational K.E. + Rotational K.E. K.E. total = 1 2 Mv 2 + 1 2 2 1
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9. Translational and Rotational Analogs : We’ve said that an object’s motion can be described by translation of its CG
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Unformatted text preview: and by rotation about its CG. Lets list the translational and rotational quantities and laws that are counterparts of each other: Translational Rotational velocity ( v ) rotational velocity ( ) ( m/s ) (rpm, 1 /s ) acceleration ( a ) rotational acceleration ( ) ( m/s 2 ) (rpm/ s , 1 /s 2 ) mass ( m ) rotational inertia ( I ) ( kg ) ( kg * m 2 ) Force ( F ) Torque ( ) ( N ) ( N * m ) ( note: not joules; joules are reserved for energy only .) Momentum ( p ) Angular Momentum ( L ) kg * m/s kg * m 2 /s K.E. (trans) = 1 2 Mv 2 K.E. (rot) = 1 2 I 2 (joules) ( J ) (joules) ( J ) Newtons Second Law F = m a = I p is conserved L is conserved 2...
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exam4_page1 - and by rotation about its CG. Lets list the...

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