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biomechanik:kinematik:kin01:en

KIN1 Translation [EN]

Translation is important when it comes to the calculation of kinematic properties. Roughly spoken, kinematics describes how bodies move. In order to make things easier, within this tutorial we want to describe the movement of a single point.

Let’s take shot putting as an example. In order to achieve a long distance when throwing a shot put, the shot put needs to be moved in vertical and horizontal direction. In order to capture the movement of the shot put, we take advantage of biomechanical measurements. Biomechanics deals with quantification, e.g. the estimation of a point with respect to time. Hereby, the time plays a major role.

The symbol for time is t, and the unit is second. As it can be seen in this table: distance, velocity and time stand in relation to time. Let’s make an example.

The red line show the distance run by a sprinter (let’s say Usain Bolt) with respect to time. After 10 seconds, Bolt crossed 100 m. In order to facilitate things, let’s say, the trajectory of Usain Bolt is uniformly distributed. This means, that we know the distance travelled after 4,5 seconds, which is 45 m.

How does the velocity curve look like? If Usain Bolt needs 10 seconds for 100 m, his velocity is 10 m/s, assuming a starting velocity of 10 m/s. If a movement is uniform, the velocity is constant. If the velocity is constant, how may the acceleration curve look like? First of all, let’s clarify the meaning of acceleration. Acceleration means the change of distance within a time frame. According to this principle, we know how to estimate the velocity, which is the change of distance according to time.

Let’s assume, the velocity of a professional sprinter is approximately 10 m/s. Let’s say, this time frame holds the value of 1 second. The gradient at this point in time could look like this. The gradient (which is represented by a black arrow) of the red distance curve is equal to to velocity value at a certain point in time. This process - to estimate the velocity from given distance points - is called differentiation. Contrary to differentiation there is integration.

Integration mean, that the area below this curve is summed up within each time frame. What might be the field value of this green are? The answer is 10. You just multiple height and width of the green area, which is the time point times the distance covered. Continuing this calculation, you can estimate the distance covered by the runner after 2, 3, 4 and more seconds.


biomechanik/kinematik/kin01/en.txt · Zuletzt geändert: 28.11.2022 00:58 von 127.0.0.1


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