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AP Physics C: Mechanics
5.2 Connecting Linear and Rotational Motion
BeginnerMCQMathematicalProportional Analysis12.9k
A circle representing a rotating disc viewed from above. A central dot marks the fixed axis of rotation with a curved arrow labeled \(\omega\) indicating counterclockwise rotation. A horizontal dashed radial line extends from the center to the right edge. Point \(X\) is marked as a solid dot on the line at a distance labeled \(r\) from the center. Point \(Y\) is marked as a solid dot farther along the same line at a distance labeled \(2r\) from the center. No other labels, lines, text, or axes appear.
Top view of the rotating disc showing Points X and Y.
A thin circular disc rotates in a horizontal plane about a fixed central axis with a constant angular speed \(\omega\). Point \(X\) is located at a radial distance \(r\) from the axis of rotation, where its tangential speed is \(v_X\) and the magnitude of its centripetal acceleration is \(a_{c,X}\). Point \(Y\) is located on the disc at a radial distance \(2r\) from the axis of rotation.

Which row in the table correctly compares the tangential speed \(v_Y\) and centripetal acceleration \(a_{c,Y}\) of Point \(Y\) to those of Point \(X\)?

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