physics

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Two gears A and B are in contact. The radius of gear A is twice that of gear B. (a) when A’s angular velocity 6.00 Hz counter clockwise, what is B’s angular velocity? (b) If A’s radius to the tip of the teeth is 10.0 cm what is the linear speed of a point on the tip of a gear tooth? What is the linear speed of a point on the tip of B’s gear tooth?

  • physics -

    Think about it. The speed of the gears' boundaries must match. Since A has a larger radius, it turns more slowly in rpm.

    So, if A is 6Hz ccw, B is 12Hz cw.

    The linear speed must match,or the teeth will strip!

    A's speed is 2π(10)*6 = 120πcm/s
    B's speed is the same: 2π(5)*12

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