Question
Download Solution PDFThe velocity ratio of a simple machine is the ratio of distance traveled by the ________ to the distance traveled by the ________ in the machine.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Mechanical advantage:
- It is a number that tells us how many times a simple machine multiplies the effort force.
- is defined as the ratio of output force to input force.
- The mechanical advantage of a machine gives its efficiency.
- Formula, \(MA=\frac{F_0}{F_i}\), where, F0 = output force, Fi = input force
- It is a unitless and dimensionless quantity.
Efficiency:
- The efficiency of a machine is the ratio of the work done on the load by the machine to the work done on the machine by the effort.
- Thus, it is the ratio of useful work done by the machine output to the work done by the machine input.
- It is represented by the Greek symbol η.
- Formula, efficiency, \(\eta=\frac{mechanical\, \, advantage}{velocity \, \, ratio}\)
Velocity ratio:
- The ratio of the distance moved by the point at which the effort is applied in a simple machine to the distance moved by the point at which the load is applied at the same time.
- Formula, \(velocity\, \, ratio=\frac{distance\, \, moved\,\, by\,\, effort}{distance \,\, moved\,\, by\,\, load}\)
- In the case of an ideal (frictionless and weightless) machine, velocity ratio = mechanical advantage.
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