09_InstSolManual_PDF_Part12 - 9-12 Chapter 9 9.57 Set Up...

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9.57. Set Up: The distance d the car travels equals the arc length s traveled by a point on the rim of the tire, so The odometer reading depends on the angle through which the wheels have turned. Solve: (a) (b) (c) With proper 24 in. diameter tires the angular displacement for is With 28 in. tires this corresponds to Reflect: In the angle must be expressed in radians. 9.58. Set Up: The speed of the car equals the tangential speed of a point on the rim of the tire, so In this equation, must be expressed in The speedometer reading depends on the angular speed with which the wheels are turning. Solve: (a) (b) (c) When the speedometer reads the wheels have angular speed The speedometer reads the for this if standard tires were used. For and 9.59. Set Up: Let so and so conservation of energy gives Solve: (a) (b) (c) (d) and Reflect: The end of the stick falls a vertical distance of 1.00 m but has a final speed greater than for a particle that falls freely 1.00 m.
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