SOLUTION: The rotation of the smaller wheel on the figure causes the larger wheel to rotate. Through how many degrees will the larger wheel rotate if the smaller wheel rotates through 90 deg

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Question 477389: The rotation of the smaller wheel on the figure causes the larger wheel to rotate. Through how many degrees will the larger wheel rotate if the smaller wheel rotates through 90 degrees?
Smaller wheel - 2cm
Larger wheel - 6cm
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The arc length travelled should be the same for both wheels.
==> r%5B1%5D%2A%28theta%29%5B1%5D+=+r%5B2%5D%2A%28theta%29%5B2%5D
==> %282%29%2A%28pi%2F2%29+=+%286%29%2A%28theta%29%5B2%5D
==> %28theta%29%5B2%5D+=+pi%2F6radians, or 30 degrees.