The purpose of this lab was to use an accelerometer on a spinning table to some how show the relation ship between angular acceleration and angular velocity.
Experiment:
We first used the accelerometer to calculate the average acceleration of the sensor as it spun in a circle. As we found the acceleration we also timed the amount it would take for the table to spin two or 4 rotation and calculated the average time it one period or full rotation took. With the angular acceleration we can calculate the time of a rotation manually and with that data we will be able to find it angular velocity.
Here is a picture of the spinning table with the accelerometer:
Here is a picture of the raw data collected for time and angular acceleration:
Experiment:
We first used the accelerometer to calculate the average acceleration of the sensor as it spun in a circle. As we found the acceleration we also timed the amount it would take for the table to spin two or 4 rotation and calculated the average time it one period or full rotation took. With the angular acceleration we can calculate the time of a rotation manually and with that data we will be able to find it angular velocity.
Here is a picture of the spinning table with the accelerometer:
Here is a picture of the raw data collected for time and angular acceleration:
Now we can use the formula w = 2PI / T to find angular velocity. Then with that data we can plug our data into logger pro and graph angular acceleration vs angular velocity squared to what I assume is radius in the equation a = rw^2 which should produce a linear graph of because the radius of the spinning table is constant which also show the relation between angular acceleration and angular velocity.
Here is the graph of the data:
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