A uniform 3.30 kg circular gear of radius 33.0 cm is rotating counter-clockwise about an axis through its center with an angular speed 20.3 revolutions per second. A second 1.77 kg circular gear of radius 17.7 cm that is not rotating is dropped onto the first gear so that the axis of rotation of the first gear passes through the center of the second gear (as shown). Assume the gears can be modeled as disks which have a rotational inertia of I = (1/2) MR2. What is the final angular speed of the two gears after they connect and rotate together?
17) A uniform 3.30 kg circular gear of radius 33.0 cm is rotating counter-clockwise about an axis through its center with an angular speed 20.3 revolutions per second. A second 1.77 kg circular gear of radius 17.7 cm that is not rotating is dropped onto the first gear so that the axis of rotation of the first gear passes through the center of the second gear (as shown). Assume the gears can be modeled as disks which have a rotational inertia of I = (1/2) MR2. What is the final angular speed of the two gears after they connect and rotate together?
a) 35.3 revolutions per second
b) 111 revolutions per second
c) 17.6 revolutions per second
d) 8.82 revolutions per second
e) 0.06 revolutions per second
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