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An angular/linear speed bicycle example

An angular /linear speed bicycle exampleOn October 1, 2003, Leontien Zijlaand-van Moorsel set a new women s hour record byriding a bicycle km in one hour on the velodrome at rode afixed gearbike which was qualitatively like this one:radius 34cmrear sprocket14 teethradius 3cmfront sprocket54 teethrear wheelA fixed gear means that there is no freewheel: the rear sprocket isattached directly to therear wheel, so that if the wheel turns, the rear sprocket (and hencethe front sprocket andpedals) turns. You can t coast on such a bike. These kinds of bikes are standard in trackracing. They also have no brakes, to make it difficult to make sudden speed changes. Thisimprovessafety in the close quarters of track is the question:If Leontien rode at a constant speed , how fast did she pedal?

If vrepresents the linear speed of a rotating object, rits radius, and ωits angular velocity in units of radians per unit of time, then v=rω. This is an extremely useful formula: it related these three quantities, so that knowing two we can always find the third. Now, the linear speed of a wheel rolling along the ground is also the speed at ...

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