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calculate the linear (tangential) velocity and centripedal acceleration of a bal

ID: 1579594 • Letter: C

Question

calculate the linear (tangential) velocity and centripedal acceleration of a ball kicked at the end of hip flexion. Use hip flexion velocity and leg length as radius for both participant. Compare the two.

Data Collected:

Joint Motion

Participant 1

Participant 2

Range of motion (degrees)

Limb length (m)

Time (s)

for 10 mvmts

Range of motion (degrees)

Limb length (m)

Time (s)

for 10 mvmts

Shoulder abduction

165 (goniometer)

171.0

(Dartfish)

.68m

0.3

160

(goniometer)

163.3

(Dartfish)

.86m

0.72

Straight leg flexion

90

(goniometer)

98.7

(Dartish)

.85m

0.52

95

(goniometer)

110.8

(Dartfish)

1.04m

0.82

Angular Velocity (Calculate using time for 1 full movement):

Joint Motion

Participant 1 (degrees/sec)

Participant 1 (radians/sec)

Participant 2 (degrees/sec)

Participant 2 (radians/sec)

Shoulder Abduction/Adduction

550 degrees/sec (goniometer)

570 degrees/sec

(Dartfish)

9.6 rad/ sec

(goniometer)

9.93 rad/sec

(Dartfish)

222.2 degrees/sec

(goniometer)

226.8 degrees/sec

(Dartfish)

3.88 rad/sec

(goniometer)

3.96 rad/sec

(Dartfish)

Straight Leg Flexion/Extension

173.1 degrees/ sec

(goniometer)

189.8 degrees/sec

(Dartfish)

3.02 rad/ sec

(goniometer)

3.31 rad/sec

(Dartfish)

115.9 degree/sec

(goniometer)

135.12

degree/sec

(Dartfish)

2.02 rad/sec

(goniometer)

2.36 rad/sec

(Dartfish)

Joint Motion

Participant 1

Participant 2

Range of motion (degrees)

Limb length (m)

Time (s)

for 10 mvmts

Range of motion (degrees)

Limb length (m)

Time (s)

for 10 mvmts

Shoulder abduction

165 (goniometer)

171.0

(Dartfish)

.68m

0.3

160

(goniometer)

163.3

(Dartfish)

.86m

0.72

Straight leg flexion

90

(goniometer)

98.7

(Dartish)

.85m

0.52

95

(goniometer)

110.8

(Dartfish)

1.04m

0.82

Explanation / Answer

form participant one

goniometer reading
tangential speed = w*r = 3.02*0.85 = 2.567 m/s
centripital aceleration = w^2*r = 3.02^2*0.85 = 7.75234 m/s/s

Dartfish reading
tangential speed = 3.31*0.85 = 2.8135 m/s
centripital acceleration = w^2*r = 9.312685 m/s/s

for participant 2

goniometer reading
tangential speed = w*r = 2.02*1.04 =2.1008 m/s
centripital aceleration = w^2*r = 2.02^2*1.04= 4.243616 m/s/s

Dartfish reading
tangential speed = 2.36*1.04 =2.4544 m/s
centripital acceleration = w^2*r = 5.792384 m/s/s

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