PASCO ME-8091 Wilberforce Pendulum User Manual
Page 11

Wilberforce Pendulum
Model No. ME-8091
10
®
5. Pull on the bob to begin moving the pendulum in a vertical
direction. The crossbar will rotate as the pendulum bobs up and 
down.
6. In DataStudio, click the Start button to begin collecting data.
Observe the data in real-time as the pendulum oscillates. (If using 
the pendulum without a computer and interface, use a stopwatch to 
time both the vertical and rotational periods of the oscillations and 
the time when the periods become equal.) 
7. Move the masses on the crossbar to a new position and repeat steps
4 through 6. (Encourage students to move the masses on the 
crossbar to various positions to see the affect that mass position has 
on the period and angular velocity. Have students adjust the 
masses until the periods of the vertical and rotational oscillations 
are the same.)
Note: The periods of the vertical and rotational oscillations must be 
exactly the same (quantitatively equal) for the oscillations to switch 
completely between the vertical and rotational modes. If the periods 
are not equal, adjust the masses on the crossbar and pull the pendulum 
again. This may take a few runs of trial and error.)
Table 1: Oscillatory Periods with Varying Mass on a Pendulum Bob
*To measure the period in DataStudio, use the Smart Tool to measure
the difference between wave crests or troughs.
Run
No.
Distance of 
Mass from 
Pendulum 
Bob (cm)
Oscillatory 
Period 
(seconds)
*
Maximum
Angular
Velocity
(rad/s)
Maximum
Force
(N/m)
1
vertical:
rotational:
2
vertical:
rotational:
3
vertical:
rotational:
4
vertical:
rotational:
5
vertical:
rotational:
Tip:  If the masses on the 
crossbar are not equidis-
tant from the center, the 
crossbar will not spin 
smoothly. 
