The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0" in a time interval of 80.5 ms. Assume that the eye starts at rest, rotates with a constant angular acceleration during the first half of the interval, and then the rotation slows with a constant angular acceleration during the second half until it comes to rest. What is the magnitude of the angular acceleration of the eye?
The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0" in a time interval of 80.5 ms. Assume that the eye starts at rest, rotates with a constant angular acceleration during the first half of the interval, and then the rotation slows with a constant angular acceleration during the second half until it comes to rest. What is the magnitude of the angular acceleration of the eye?
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Step 1: Know the concepts and relations to be used:
VIEWStep 2: Obtain the expression for the final angular velocity of the object for first half time interval:
VIEWStep 3: Derive the relation between the total angular displacement and the total time:
VIEWStep 4: Calculate the magnitude of the angular acceleration:
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