A winch system has a wheel radius of $30\text{ cm}$ attached to an axle radius of $6\text{ cm}$. If an…

A winch system has a wheel radius of $30\text{ cm}$ attached to an axle radius of $6\text{ cm}$. If an effort force of $50\text{ N}$ is applied on the outer rim of the wheel, what maximum load weight can be lifted by the rope wound around the axle (ignoring friction)?
  1. $10\text{ N}$
  2. $250\text{ N}$
  3. $300\text{ N}$
  4. $180\text{ N}$

Solution

Mechanical Advantage $= \text{Radius of Wheel} / \text{Radius of Axle} = 30 / 6 = 5$. Thus, Maximum Load $= \text{Effort} \times 5 = 50\text{ N} \times 5 = 250\text{ N}$.

Asked in: Homi Bhabha Practice

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