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Derive the relationship between MA (Mechanical Advantage), VR (Velocity Ratio), and Efficiency.

User Varad
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Final answer:

The relationship between Mechanical Advantage (MA), Velocity Ratio (VR), and Efficiency is described by MA = VR / Efficiency. A machine with high MA can multiply the input force but may have lower efficiency.

Step-by-step explanation:

The relationship between Mechanical Advantage (MA), Velocity Ratio (VR), and Efficiency can be described as:



MA = VR / Efficiency



MA represents the ratio of the output force to the input force of a machine, VR is the ratio of the distance traveled by the effort force to the distance traveled by the load, and Efficiency is the ratio of output work to input work of a machine.



For example, if a machine has a high MA, it means that it can multiply the input force, but this may come at the cost of lower efficiency. On the other hand, a machine with a low MA may have a higher efficiency but provides less force multiplication.

User Rodi
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