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. \\n
Answered by mr W last updated on 04/Feb/23
Commented bymr W last updated on 04/Feb/23
$${r}_{\mathrm{1}} \omega_{\mathrm{1}} ={r}_{\mathrm{2}} \omega_{\mathrm{2}} \\ $$ $$\Rightarrow\omega_{\mathrm{1}} =\frac{\mathrm{4}×\mathrm{25}}{\mathrm{5}}=\mathrm{20}\:{rev}/{min} \\ $$
Commented byMathsFan last updated on 04/Feb/23
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{sir} \\ $$