![]() So if we can work out the speed that the edge of the wheel is moving we will know the linear speed of the bike.Īs speed is $\frac$ in linear mechanics. Episode 225: Quantitative circular motion T distancevelocity T 2 rv T 2 v r × Angular velocity of stone at any point on the circle 3 m s. It is clear that the faster the wheels are moving in a circle, the faster the bike travels in a straight line. This is how a lot of bicycle computers work. The equations are shown below: Linear/Planar equation. The only difference is that we substitute in the angular analog of the corresponding quantities. ![]() ![]() Various planetary models described the motion of planets in circles before any understanding of gravitation. For rotational motion, the same equation apply. If we try to work out the speed of the bike we have a two options, using an external reference such as a known distance or GPS satellites, or we could look at the speed that the wheels are rotations. There are many instances of central motion about a point a bicycle rider on a circular track, a ball spun around by a string, and the rotation of a spinning wheel are just a few examples. Circular motion crops up in many different situations, and students will need to be able to apply the equations for centripetal force and acceleration. The pedals and the wheels are moving in circles, and this is causing the bike to move in a straight line. Students should be familiar with the equations of linear motion, and Newtons laws of motion. ![]() Figure 1: Circular motion is everywhere, and bikes are a very good example of this. Looking at the animation of the bicycle below you can see that there is a clear link between linear and circular motion. At the beginning of this topic it is important to understand and define a few key ideas and to link them to the linear motion that you have already studied. ![]()
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