During the support phase of walking the absolute angle of the thigh has the following angular velocities frame 38 0.6167s 1.033rad/s frame 39 0.6333s 1.511rad/s 40 frame 0.6500s 1.882rad/s calculate the angular acceleration at frame 40 from frame 38
Damon could u explain this question please
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To calculate the angular acceleration at frame 40 from frame 38, we need to use the following formula:
Angular Acceleration (α) = (Angular Velocity at Frame 40 - Angular Velocity at Frame 38) / (Time at Frame 40 - Time at Frame 38)
Given the angular velocities and times you provided, we can substitute the values into the formula:
Angular Velocity at Frame 40 = 1.882 rad/s
Angular Velocity at Frame 38 = 1.033 rad/s
Time at Frame 40 = 0.6500 s
Time at Frame 38 = 0.6167 s
Now we can calculate the angular acceleration:
Angular Acceleration (α) = (1.882 rad/s - 1.033 rad/s) / (0.6500 s - 0.6167 s)
Simplifying the formula:
Angular Acceleration (α) = 0.849 rad/s / 0.0333 s
Calculating the result:
Angular Acceleration (α) ≈ 25.47 rad/s^2
Therefore, the angular acceleration at frame 40 from frame 38 is approximately 25.47 rad/s^2.