The pedal sprocket of a bicycle has radius 4.5inches and the rear wheel sprocket has

Chapter 6, Problem 84

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The pedal sprocket of a bicycle has radius 4.5inches and the rear wheel sprocket has radius 1.5inches (see figure). If the rear wheel has a radiusof 13.5 inches and the cyclist is pedaling at therate of 80 rpm, how fast is the bicycle traveling infeet per minute? in miles per hour? St. Louis Cleveland away on the western horizon. (The figure is not toscale.) Assuming that the radius of the earth is3950 miles, how high was the plane when thepicture was taken? Hint: The sight lines from theplane to the horizons are tangent to the earth anda tangent line to a circle is perpendicular to theradius at that point. The arc of the earth betweenSt. Louis and Cleveland is 520 miles long. Use thisfact and the arc length formula to find angleYour answers will be in radians. Note thata u2 1why?2.u.

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