Probe
Mounting straps (two small, one large)
Angle Sensor (included in PS-2137 only)
Model PS-2137 includes probe, straps an d angle sensor; mod el PS-2138 includes probe and straps only.
PS-2138
PS-2547
PS-2139
Required or Op t io nal Eq ui pm e n t
PASPORT Interface (required)
Second Goniometer Probe (optional)
See PASCO catalog or www.pasco.com
PS-2138
Introduction
With the PASPORT Goniometer students can analyze
motions such as walking, running, throwing and
kicking. They can also explore the physics of rotational
dynamics using their arms and legs as experimental
apparatus.
The Goniometer, in conjunction with a PASPORT
interface, measures and records the angle, angular
velocity and angular acceleration of an elbow, knee or
hip. The sensor can be used with a single Goniometer
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3
GoniometerProbe Mounting
Increasing
Angle
Increasing
Angle
RightLeft
Probe (included) or with an optional second probe to measure two joints
simultaneously. You can use multiple sensors together to support even
more probes. The probe is easily attached to the body using the included
hook-and-loop mounting straps.
The Goniometer Probe consists of two arms and a potentiometer. As the
angle between the arms changes, the resistance of the potentiometer
changes. The Angle Sensor, connected to the probe, measures the
resistance of the potentiometer and converts it to an angle measurement.
The sensor also calculates the angular velocity and angular acceleration
from the rate at which the angle changes. The data is sent digitally to your
PASPORT interface at up to 100 samples per second.
The probe measures zero degrees (or radians) when it is
fully open. A clockwise rotation of the narrow arm relative
to the wide arm (as pictured) is measured as increasing
Angle
angle.
Probe Mounting
The mounting straps can be used in two ways. The easier method is to
place the straps on the limbs, then stick the probe to the outside of the
straps. For more secure attachme nt, tuck the probe arms inside the
overlapping portions of the straps.
When mounting the Goniometer probe, the wide and narrow arms of the
probe are interchangeable; the only difference will be the sign of the data
collected. Attach the wide arm of the probe to the subject’s upper arm when
used on the left elbow, and to the subject’s forearm when used on the right
elbow. This will result in a flexion of either joint measured as a positive
displacement. Similar revers als can be applied to knee and hip mounting.
Elbow
Place one strap around the
upper arm midway between
the elbow and shoulder.
Place a second strap around
the lower arm midway
between the elbow and wrist.
With the hand relaxed, bend
the elbow at a right angle.
Align the probe’s hinge with
the elbow. Attach one arm of
the probe to the subject’s upper arm parallel to the humerus.
Extend the elbow and attach the other probe arm parallel to the ulna. Flex
and extend the elbow a few times to check for proper alignment.
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Model No. PS-2138 Sensor Setup
Knee
Place the large strap around the thigh just above the knee. Place
a small strap around the upper part of the calf (combine both
small straps end-to-end if neces sar y) .
Bend the knee at a right angle. Align the probe’s hinge with the
knee. Attach one arm of the probe to the thigh parallel to the
femur.
Extend the knee and attach the other probe arm parallel to the
tibia.
Flex and extend the knee to check for proper alignment. Have
the subject stand on both feet and make sure that the probe does
not shift significantly .
Hip
Place the large strap around the waist. Combine both small
straps end-to-end (if necessary) and place them around the
upper thigh.
Have the subject stand and place his or her foot on a chair so
that the thigh is horizontal. Align the probe’s hinge with the
hip joint. Attach one arm of the probe to the thigh parallel to
the tibia.
Have the subject stand on both feet; attach the other probe arm
vertically to the waist strap.
Move the hip joint through its full range of forward and
backward rotation to check for proper alignment.
Sensor Setup
Connect one or two Goniometer Probes to the Angle Sensor. Connect the
Angle Sensor to a PASPORT interface. The interface will collect data for
angle, angular velocity , and angular acceleration from each probe. You can
select units of degrees or radians in the software.
The default sampling rate of the sensor is 20 Hz. In most cases this is
sufficient, but for faster movements you may wish to increase the rate to 50
or 100 Hz.
Optional Data Smoothing
The sensor calculates the angular velocity and angular acceleration from
the measured angle data. The angular velocity is the change in angle
between consecutive samples divided by the time between samples.
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GoniometerSuggested Activities
TL∝
*For a detailed
analysis of t he leg
as a physical
pendulum see : A.
Dumont and C.
Waltham , 1997,
Walking,
The
Physics Teacher
,
35 (6): 372–376.
Angular acceleration is the change between consecutive velocity
calculations divided by the time between samples.
The Goniometer is very sensitive to small variations in the angular
velocity , s o you may see a lot of variation i n angular acceleration. To make
the angular acceleration data easier for students to interpret, use the smooth
function (in DataStudio) or reduce/smooth averaging (Xplorer GLX). See
DataStudio online help or the GLX users’ manual for details.
Optional Calibration
The Goniometer does not normally require calibration. To incr ease the
accuracy of measurements made over a limited range of motion, the
Goniometer may be manually calibrated. In DataStudio, click the Calibrate
button in the Experiment Setup window. Set the probe at a known angle,
enter the angle under Point 1 and click the Set button. Set the probe at
another known angle, enter the angle under Point 2 and click the Set
button.
Suggest ed Activiti es
Analysis of Gait and other motions
Collect angle data of the knee while walking. Does it approximate simple
harmonic motion? Explain what you observe.
Collect angle data of the hips during walking, fast walking and running.
•How does the angle of forward rotation compare to the angle of
backward rotation?
•Compare the left and right hips. Are they symmetrical?
•Compare the range of movement and period of oscillation for walking,
fast walking and running? What patterns do you observe?
•Compare data from different students walking at the same speed (walk
side-by-side or use a motion sensor to monitor speed).
•For that class, make histograms of range of motion and period of
oscillation. Do any patterns emerge?
•Make graphs of range of motion and period vs. height. Is there a
correlation?
Measure the period of the leg swinging freely and compare it to the period
of oscillation when the subject is walking at his or her most comfortable
pace. For the class, investigate the relations hi p between leg length, L, and
walking period, T. For all pendulums ; is this true for human legs*?
Analyze non-periodic movements such as throwing, kicking, and lifting.
When performing the movements, move only the joint that is being
measured. You can collect data on the linear motion of lifted, kicked and
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Model No. PS-2138 Suggested Activities
thrown objects using Photogate Tape (ME-6664), a Photogate (ME-9204B)
and a Digital Adapter (PS-2159).
Collect data from two or more joints simultaneously while walking,
running, jumping, throwing, kicking, etc. How do the joints work together
when performing these actions?
Oscillations
Collect data for the following:
•Lower leg freely dangling about the knee showing simple harmonic
motion, subject seated on a high surface.
•Leg with unbent knee freely dangling about the hip, subject standing on
the opposite foot on a low surface.
•Leg with knee bent at right angle freely dangling about the hip.
Do angle, angular velocity, and angular acceleration approximate simple
harmonic motion? Determine the period, frequency and amplitude of the
oscillations.
What is the relationship between the phases of angle, angular velocity, and
angular acceleration?
How does bending the knee affect the frequency of the dangling leg?
Skeletal Parts
Mount the Goniometer on articulated skeletal parts. In conjunction with
force sensors attached with string the points of tendon attachment, measure
the forces exerted by muscles when lifting objects of various mass, or
performing throwing and kicking movements.
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GoniometerSuggested Activities
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