Imagine you are looking at a wheel from the top. There is a notch on that wheel. When you turn the wheel, the notch will move along the circular path of that wheel. When the notch moves completely in one whole turn, it has moved 360 degrees. Remember there are 360 degrees in a circle. When the notch moves only around half of the circle, it has moved only 180 degrees. The notch should be on the opposite side it started on. One 1/6 of a turn will be equal to 1/6 of 360 or 60 degrees. So the notch will have only moved 60 degrees if you turn the wheel 1/6.
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Imagine you are looking at a wheel from the top. There is a notch on that wheel. When you turn the wheel, the notch will move along the circular path of that wheel. When the notch moves completely in one whole turn, it has moved 360 degrees. Remember there are 360 degrees in a circle.
When the notch moves only around half of the circle, it has moved only 180 degrees. The notch should be on the opposite side it started on.
One 1/6 of a turn will be equal to 1/6 of 360 or 60 degrees. So the notch will have only moved 60 degrees if you turn the wheel 1/6.