SOLUTION: Two gears are adjusted so that the smaller gear with radius of 2.5 cm drives the larger one with radius of 4.8 cm. If the smaller gear rotates through an angle of 5π/4 radians
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Question 797183: Two gears are adjusted so that the smaller gear with radius of 2.5 cm drives the larger one with radius of 4.8 cm. If the smaller gear rotates through an angle of 5π/4 radians, through what angle measurement in degrees will the larger gear rotate?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The measure of an angle in radians is the arc divided by the radius:
<--->
As the small gear rotates through an angle of radians, the point that was originally in contact with the other gear moves a distance of
along the circumference of the small gear.
In the large gear, the point that was originally in contact with the other gear moves the same distance along the circumference of the small gear.
If that distance correspond to an angle measuring radians, that distance is
.
So, -->-->-->
That's .
The points of the gears that were in contact end up at A and B after that turn.
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