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Unit 2: Applications of Translation and Rotational Motion determines how far that point travels during a rotation. Figure 2. Examples of objects undergoing rotational motion Degrees and Radians To measure how much an object has rotated, we use angles. The most familiar unit is the degree, with a full circle equal to 360 degrees. When calculating rotational quantities, however, we often use radians, which are based on the geometry of the circle. One radian is the angle formed when the arc length is equal to the radius of the circle. Figure 3. The length of one radian, and the conversion between degrees and radians. The conversion between degrees and radians is: 2.3. Rotational Motion 3

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