angular calculation
DESCRIPTION
argular calculationTRANSCRIPT
FALCUTY SPORTS SAINS AND COACHING
QSU 3063 BIOMECHANICSINDIVIDUAL ASSIGMENTPRACTICAL 5
ANGULAR KINEMATICS
NAME
MOHAMAD ZAIHAN BIN ARIFFIN
MATRIC NUMBER D20121059155
LAB
B
GROUP
7
LECTURER NAME
DR. BENDERI BIN DASRILIntroduction :The biomechanics of gymnastics has been studied extensively by sports scientists. The high bar maneuver as a giant swing is a good example of angular rotation. This laboratory will be based on images of a gymnast which were taken from high speed films during a gymnastics competition. A series of images during one revolution on the bar have been combined into a single picture. Reflective markers were placed on the bar, and on the shoulder, hip, and ankle joints of the gymnast.Point 2
Angle Calculation
x2 = COM (Hip) X Position Bar X Position
= 2.555 2.185
= 0.370
y2 = COM (Hip) Y Position Bar Y Position
= 3.680 2.444
= 1.236
tan 2 = 2 = tan-1 ( )
2 = 16.67
16.67 x = 0.291 rad
Radius Calculation
r22 = x22 + y22
r2 = = = 1.290 m
Angular Velocity Calculation
= 1.84 rad/s
Linear (Tangential) Velocity Calculation
= 1.290 m x 1.84 rad/s
= 2.37 m/s
Point 3
Angle Calculation
x3 = COM (Hip) X Position Bar X Position
= 2.889 2.185
= 0.704
y3 = COM (Hip) Y Position Bar Y Position
= 3.519 2.444
= 1.075
tan 3 = 3 = tan-1 ( )
3 = 33.22
33.22 x = 0.580 rad
Radius Calculation
r32 = x32 + y32
r3 = = = 1.285 m
Angular Velocity Calculation
= 2.43 rad/s
Linear (Tangential) Velocity Calculation
= 1.285 m x 2.43 rad/s
= 3.12 m/s
Point 4
Angle Calculation
x4 = COM (Hip) X Position Bar X Position
= 3.333 2.185
= 1.148
y4 = COM (Hip) Y Position Bar Y Position
= 3.148 2.444
= 0.704
tan 4 = 4 = tan-1 ( )
4 = 58.48
58.48 x = 1.021 rad
Radius Calculation
r42 = x42 + y42
r4 = = = 1.347 m
Angular Velocity Calculation
= 3.30 rad/s
Linear (Tangential) Velocity Calculation
= 1.347 m x 3.30 rad/s
= 4.45 m/s
Table 2: Data Calculated
Frame NumberAngle With Respect to Vertical ()Angle (radians)Radius (m)Angular Velocity (rad/s)COM Linear Velocity (m/s)
11.680.0291.261--
216.670.2911.2901.842.37
333.220.5801.2852.433.12
458.481.0211.3473.304.45
590.001.5711.3714.135.66
6129.582.2611.3945.057.04
7176.823.0861.3355.367.16
8221.643.8681.3385.327.12
9268.324.6831.2605.026.33
10307.885.3731.2673.834.85
11334.225.8331.276--
x2
y2
radius
2
x3
y3
radius
3
x4
y4
radius
4