Unit of Mechanical Advantage of a machine?

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SUMMARY

The mechanical advantage (M.A) of a simple machine is defined as the ratio of load to effort, expressed mathematically as M.A = Load/Effort. This ratio is dimensionless because it involves the division of two forces, resulting in the cancellation of units. Consequently, mechanical advantage does not possess any specific units, making it a pure numerical value that indicates the efficiency of the machine.

PREREQUISITES
  • Understanding of basic physics concepts, particularly forces.
  • Familiarity with the principles of simple machines.
  • Knowledge of ratios and dimensionless quantities.
  • Basic mathematical skills for calculating mechanical advantage.
NEXT STEPS
  • Research the different types of simple machines and their mechanical advantages.
  • Explore the concept of efficiency in machines and how it relates to mechanical advantage.
  • Learn about the applications of mechanical advantage in real-world scenarios.
  • Study the relationship between mechanical advantage and work done in physics.
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Students of physics, engineers, and anyone interested in understanding the principles of mechanical systems and their efficiencies.

Aladin
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Why the mechanical advantage of a simple machine has no units?
M.A=Load/Effort.
thank you.
 
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Aladin said:
Why the mechanical advantage of a simple machine has no units?
M.A=Load/Effort.
thank you.
Because you are dividing a force by a force. It is simply a dimensionless number.

AM
 
It's a ratio of similar quantities. The units cancel.
 

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