Purpose: Today in class we used a wheel powered by a small motor which was rotating, known as an accelerometer, which we placed against a a flat disk which then spun in continuous circles which helped us to record the data as a piece of tape passed through a photo gate. By doing so we were able to establish a relationship between angular acceleration and time which lead us to establishing a relationship between centripetal acceleration and angular velocity. Ca=mv^2/r. w=2(pi)/t.
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| Accelerometer is at the farthest left and the photo gate is the small black object that is attached to the pole under the paper towels.
Procedure: Due to time constraints, professor did the lab for the whole class. He first began by placing the accelerometer next to the disk with the taped photogate. By using the small generator to the far left, (next to the scooter wheel) we were able to power the wheel with different hertz of electricity allowing for the wheel to accelerate at different speeds. By using logger pro the photo gate captures the revolution per second of the wheel spinning. We used this data to record the acceleration, period, and angular acceleration.
Angular acceleration vs. acceleration
This is the data for acceleration, rotations, period, and centripetal acceleration.
Results: As we plot our data in the table we find that our results are true and the radius of the disk spinning is nearly identical to the slope of the line, which we find by comparing our acceleration and omega. We find that the radius is .1386 nearly identical to the spinning wheel, off by only a few hundredths, showing that angular velocity and acceleration do share a relationship.
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