Problem: 1 There three interlocking gears are mounted between two fixed surfaces

Question

Problem: 1

There three interlocking gears are mounted between two fixed surfaces as shown. The center gear is called a "sun" gear and has a angular velocity of 5 rad/s counter-clockwise. The three small gears, called "planet" gears, link the sun gear to the stationary other ring gear. Determine the angular velocity magnitude of the planet gears. The radius of the sun and planet gears are 20 in and 5 in, respectively. There three interlocking gears are mounted between two fixed surfaces as shown. The center gear is called a sun gear and has a angular velocity of 5 rad/s counter-clockwise. The three small gears, called planet gears, link the sun gear to the stationary other ring gear. Determine the angular velocity magnitude of the planet gears. The radius of the sun and planet gears are 20 in and 5 in, respectively.

Explanation / Answer

Note that they should traverse the same angle at the same time.

Thus, it should be that

rsun w sun = rplanet wplanet

Thus,

wplanet = rsun wsun / rplanet

= 20 rad/s   [ANSWER]

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