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The differential gear of an automobile axle allows the wheel on the left side of an automobile to rotate at a different angular speed than the wheel on the right side. An automobile is driving at a fix speed around a circular track on level ground, completing each lap in 15.7 second. The distance between the tires on the left and right sides of the automobile is 1.80 meter, and the radius of each wheel is 0.360 meter. Find the difference between the angular speeds of the wheels on the left and right sides of the automobile?

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