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Angular Versus Linear Relationship

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He went over 4 types of relationships between linear and angular kinematics – 1 Displacement (s or d=Θr), 2Linear Velocity resulting from length of radius (v=rω), 3Linear Velocity resulting from angular velocity(v=rω), and 4 Angular velocity resulting from manipulation of length of radius (ω=v/r). Relationship #1 – Displacement S or d=Θr (Θ, the angle measured in degrees or radiants or revolutions and (r) radius measured in meters). In the video he used figure 11-15 from our text (the baseball bat). If the angle stays constant, you can increase the radius and have greater displacement, shorter radius less displacement. Relationship #2 – Linear velocity (v) resulting from length of radius …show more content…

The longer the bat (r) the greater displacement. However, keeping with the bat example, the athlete must be able to swing it while maintaining an angular velocity and not at 0. Relationship #3 – Linear velocity (v) resulting from angular velocity (ω) V=rω The greater the angular velocity, the greater the linear velocity to the object. Longer radius and greater angular velocity creates a greater linear velocity. Relationship #4 – Angular velocity (ω) resulting from manipulation of length of radius ω= v/r An increase in radius (or the length) results in a decreased angular velocity and shortening the radius increases angular velocity. I really liked the professors take on this concept. He gave two awesome examples of this relationship one he used a fly swatter on fruit flies versus a bigger insect and another example of boxing – the jab versus the

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