A-gear-with-outer-radius-of-r-5cm-move-in-a-clockwise-direction-causing-an-interlocking-gear-with-an-outer-radius-of-r-4cm-to-move-in-a-counter-clockwise-direction-at-an-angular-speed-of-w-25rev-

Question Number 186370 by MathsFan last updated on 04/Feb/23

$$$$A gear with outer radius of r'=5cm move in a clockwise direction causing an interlocking gear with an outer radius of r"=4cm to move in a counter-clockwise direction at an angular speed of w"=25rev/min. What is the angular speed (w') in the outer gear.

Answered by mr W last updated on 04/Feb/23

Commented by mr W last updated on 04/Feb/23

$$r_1{\omega }_1=r_2{\omega }_2$$$$\Rightarrow {\omega }_1=\frac{4\times 25}{5}=20rev/min$$

Commented by MathsFan last updated on 04/Feb/23

$$\mathrm{thank}\mathrm{you}\mathrm{sir}$$

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