Question

Using the below data and angular velocity equation, calculate angular velocity using time for one full movement. Please show how the calculations are completed for the data below. Angular velocity is given. Need to see how it was arrived at.

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)

Answer 1

Angular velocity is given as :

The range of motion will be .

I'm going to do one calculation here. For participant 1, Shoulder abduction range of motion (RoM) according to Goniometer is 165 deg.

Time for 10 movements is 0.3 sec.

Time for 1 movement= 0.03 sec.

Then,

To convert it into radians/sec, multiply it by

Simlilarly for Dartfish calculation

For Participant 2, Shoulder abduction range of motion (RoM) according to Goniometer is 165 deg.

Time for 10 movements is 0.72 sec.

Time for 1 movement= 0.072 sec.

Then,

To convert it into radians/sec, multiply it by

Similarly for Dartfish calculation

All of the calculations are similar to above.

Note: The calculations provided in the Angular velocity table are one order of magnitude lower than what I calculated. It looks like the calculations in the table are done for 10 movements instead of only one movement.