Create a graph to find the angular acceleration curve for the knee.
I will insert the table excel sheet data below.
Frame |
Time |
Hip.X |
Hip.Y |
Knee.X |
Knee.Y |
Ankle.X |
Ankle.Y |
1 |
0 |
352.865 |
480 |
318.703 |
391.69 |
402.595 |
307.584 |
2 |
0.03333 |
349.838 |
476.395 |
304.865 |
395295 |
386.595 |
312.39 |
3 |
0.06667 |
346.811 |
470.388 |
293.622 |
398.298 |
370.162 |
306.383 |
4 |
0.1 |
343.351 |
460.175 |
287.135 |
394.693 |
349.838 |
282.954 |
5 |
0.13333 |
337.73 |
451.164 |
283.676 |
379.074 |
328.649 |
251 114 |
6 |
0.15557 |
330 811 |
434343 |
282.378 |
355.245 |
305.297 |
215.059 |
7 |
0.2 |
322.162 |
412.715 |
282.378 |
325 006 |
290.162 |
184.431 |
8 |
0.23333 |
313.514 |
384.481 |
280.216 |
294.969 |
279.784 |
155.594 |
9 |
0.26667 |
304.865 |
354.443 |
274.595 |
264.931 |
274.595 |
124.956 |
10 |
0.3 |
297.081 |
322.003 |
262.919 |
234.293 |
272.432 |
92.516 |
11 |
0.33333 |
290.595 |
284.155 |
246.919 |
202.453 |
282.811 |
75.094 |
12 |
0.36667 |
289.73 |
249.912 |
238.27 |
178.423 |
288.432 |
62.478 |
13 |
0.4 |
292.757 |
230.688 |
222.703 |
181 427 |
282.811 |
72.691 |
14 |
0.43333 |
290.595 |
219.274 |
217.514 |
185.233 |
275.324 |
77.497 |
15 |
0.46667 |
287.135 |
207.86 |
214.054 |
180.225 |
275.892 |
73.698 |
16 |
0.5 |
286.27 |
194.043 |
211.027 |
173.016 |
275.027 |
78.098 |
17 |
0.53333 |
286.703 |
182.628 |
211.027 |
172.416 |
274.595 |
78.698 |
18 |
0.56667 |
287.135 |
173.016 |
211292 |
173.016 |
274.595 |
78.698 |
19 |
0.6 |
286.27 |
165.207 |
211.027 |
170.613 |
276.757 |
75.094 |
20 |
0.63333 |
287568 |
163.404 |
212.324 |
167.609 |
276.757 |
76.295 |
21 |
0.66667 |
288.432 |
161.602 |
213.622 |
169.412 |
276.757 |
76.295 |
22 |
0.7 |
288.865 |
159.8 |
213.622 |
168.21 |
276.757 |
76.295 |
23 |
0.73333 |
288 |
161.001 |
213.622 |
168.21 |
276.757 |
73.892 |
24 |
0.76667 |
288 |
167.609 |
213.189 |
170.613 |
276.324 |
76.896 |
25 |
0.8 |
288.865 |
172.416 |
213.189 |
171.815 |
275.459 |
79.299 |
26 |
0.83333 |
289.297 |
177.822 |
213.189 |
174.218 |
275.459 |
77.497 |
27 |
0.85557 |
288.432 |
183.229 |
212.324 |
175.521 |
275.892 |
75.895 |
28 |
0.9 |
288.432 |
192.24 |
212.757 |
175.419 |
275.757 |
77.497 |
29 |
0.93333 |
287566 |
198.248 |
213.189 |
175.419 |
277.189 |
76.896 |
30 |
0.96667 |
286.27 |
204.856 |
213.622 |
176.02 |
278.054 |
76.295 |
31 |
1 |
285.838 |
212.666 |
214.054 |
177.822 |
278.054 |
75.094 |
32 |
1.03333 |
284.541 |
218.673 |
215.351 |
176.621 |
279.784 |
74.493 |
33 |
1.06667 |
284.108 |
228.285 |
217.081 |
179.625 |
279.351 |
75.094 |
34 |
1.1 |
281.946 |
236.095 |
219.243 |
181.427 |
280.649 |
74.493 |
35 |
1.13333 |
281.081 |
245.707 |
221.405 |
183.83 |
281.514 |
74.493 |
36 |
1.16667 |
280.649 |
255.319 |
224 |
185.632 |
283.676 |
71.489 |
37 |
1.2 |
278.486 |
265.532 |
230.054 |
188.035 |
284.541 |
70.889 |
38 |
1.23333 |
275.459 |
273.342 |
235.243 |
191.039 |
286.703 |
68.486 |
39 |
1.26667 |
274.162 |
281.752 |
242.162 |
193.442 |
288.432 |
66.683 |
40 |
13 |
272.432 |
285.957 |
2.49E+03 |
195.845 |
290.595 |
65.482 |
41 |
1.33333 |
269.838 |
291.965 |
254 27 |
198.849 |
291.892 |
67.284 |
42 |
1.36667 |
268.541 |
295.569 |
260.757 |
201.252 |
291.892 |
67.885 |
43 |
1.4 |
269.838 |
297.372 |
265.945 |
203.054 |
292.324 |
67.284 |
44 |
1.43333 |
2613.973 |
297.372 |
270.27 |
203.655 |
292.757 |
66.083 |
45 |
1.46667 |
269.405 |
298.573 |
272.865 |
204.255 |
294.486 |
66.683 |
46 |
1.5 |
268 973 |
297.372 |
273.73 |
204.856 |
294.054 |
66.683 |
47 |
133333 |
268.108 |
297.372 |
272.865 |
204.255 |
294.054 |
67.284 |
48 |
1.56667 |
267.243 |
297.372 |
273.297 |
204.856 |
294.054 |
67.284 |
49 |
1.6 |
266 811 |
297.972 |
272.865 |
204.255 |
293.622 |
66.083 |
A biomechanist studying the torque the knee experiences during a drop landing needs to know the angular acceleration profile during the task. Using a motion capture system the researcher can track the markers representing the hip, knee, and ankle joints. Your objective is to generate an angular acceleration curve for the knee from this data (posted along with this assignment) and find the peak flexion acceleration/deceleration.