288_Physics ProblemsTechnical Physics

288_Physics ProblemsTechnical Physics - 290 Rotation of a...

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290 Rotation of a Rigid Object About a Fixed Axis Section 10.3 Angular and Linear Quantities P10.11 Estimate the tire’s radius at 0.250 m and miles driven as 10 000 per year. θ π == × F H G I K J F H G I K J s r 100 10 1609 644 10 1 102 10 10 4 7 77 7 . . .. ~ mi 0.250 m m 1 mi rad yr rad yr rev 2 r ad rev yr or rev yr P10.12 (a) vr = ω ; = v r 45 0 250 0180 . . ms m rad s (b) a v r r = 2 2 45 0 250 810 . . m m s toward the center of track 2 bg P10.13 Given r = 100 . m , α = 400 r a d s 2 , i = 0 and i = 57 3 1 00 r a d (a) ωω fi tt =+= + 0 At t = 200 s , f 800 . rad s s rad s 2 af (b) = . m r a d s m s aar rc == = = 2 2 1 00 8 00 64 0 . r a d s m s 2 ar t = . r a d s m s 22 ej The magnitude of the total acceleration is: aaa rt =+ = + = 64 0 4 00 64 1 . 2 The direction of the total acceleration vector makes an angle
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