The two-gear combination shown in the drawing is being used to lift the load L with a constant upward speed of 2.50 m/s. The rope that is attached to the load is being wound onto a cylinder behind the big gear. The depth of the teeth of gears is negligible compared to the radii. Determine the angular velocity (magnitude) of the smaller gear.

Engineering

Physics

Moment of Inertia

Question

25 × $\frac{17}{30}$ rad/s

$\frac{17}{250}$ rad/s

25 × $\frac{30}{70}$ rad/s

$\frac{250}{70}$ rad/s

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V₁ = V₂ = w₂ R₂ ⟹ w₂ = $\frac{V_{1}}{R_{2}}$ = $\frac{250}{17}$ rad/s

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