Two coins, having radius 1cm are kept on table touching each other. One of them is fixed and the other one is rotated around it such that it is constantly in contact. (note that sides are not slipping). In one complete rotation, what is the distance travelled by a point on the edge of rotating coin.
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Answer:
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Given : Two coins, having radius 1 cm are kept on table touching each other.
One of them is fixed and the other one is rotated around it such that it is constantly in contact. (note that sides are not slipping).
To Find : In one complete rotation, what is the distance travelled by a point on the edge of rotating coin.
Solution:
One of them is fixed and the other one is rotated around it such that it is constantly in contact.
Sides are not slipping
Ref the figure attached
Center of rotating circle is moving with Radius ( which is Equal to Radius of inner coin and outer coin )
Hence Distance covered by any point on edge of outer/rotating coin would be same as center of outer coin has moved.
Distance covered is 2π(radius of fixed coin + radius of moving coin)
= 2π ( 1 + 1)
= 4π
= 4 * 3.14
= 12.56 cm
Distance travelled by a point on the edge of rotating coin is 12.56 cm
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Two coins, having radius 1cm are kept on table touching each other
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