Physics
Derive a relationship between mechanical advantage, velocity ratio and efficiency of a machine.
Machines
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Answer
Suppose a machine overcomes a load L by the application of effort E.
Let,
the displacement of effort = dE and
the displacement of the load = dL in time t.
But we know that,
and
Substituting the above two values in the formula for efficiency we get
Hence, the mechanical advantage of a machine is equal to the product of its efficiency and velocity ratio.
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