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NASA has confirmed that China’s Three Gorges Dam has slowed Earth’s rotation, increasing the length of a day by 0.06 microseconds. Dr. Benjamin Fong Chao of NASA’s Goddard Space Flight Center says the shift is due to the enormous volume of water—about 10 trillion gallons—stored in the dam’s reservoir, located 175 meters above sea level. By redistributing this mass, the dam has subtly altered Earth’s moment of inertia, similar to how a spinning figure skater slows down when extending their arms.
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In mathematics, the disk method is a technique used to calculate the volume of a solid generated by rotating a curve around an axis. The idea is to imagine slicing the solid into very thin circular disks perpendicular to the axis of rotation. Each disk has an area that depends on the distance from the axis, and by summing the volumes of all these disks, we approximate the entire solid. This process is formalized using integration, where the radius of each disk comes from the function being rotat
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