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Encyclopedia > Mechanical advantage

In physics and engineering, mechanical advantage (MA) is the factor by which a mechanism multiplies the force put into it. Following are simple machines where the mechanical advantage is calculated. Physics (Greek: (phúsis), nature and (phusiké), knowledge of nature) is the science concerned with the discovery and characterization of universal laws which govern matter, energy, space, and time. ... Engineering is the design, analysis, and/or construction of works for practical purposes. ... In physics, a simple machine is any device that only requires the application of a single force to work. ...

  • The beam shown is in static equilibrium around the fulcrum. This is due to the moment created by vector force "A" counterclockwise (moment A*a) being in equlibrium with the moment created by vector force "B" clockwise (moment B*b). The relatively low vector force "B" is translated in a relatively high vector force "A". The force is thus increased in the ratio of the forces A : B, which is equal to the ratio of the distances to the fulcrum b : a. This ratio is called the mechanical advantage. This idealised situation does not take into account friction. For more explanation, see also lever.
  • Wheel and axle: A wheel is essentially a lever with one arm the distance between the axle and the outer point of the wheel, and the other the radius of the axle. Typically this is a fairly large difference, leading to a proportionately large mechanical advantage. This allows even simple wheels with wooden axles running in wooden blocks to still turn freely, because their friction is overwhelmed by the rotational force of the wheel multiplied by the mechanical advantage.
  • Pulley: Pulleys change the direction of a tension force on a flexible material, e.g. a rope or cable. In addition, pulleys can be "added together" to create mechanical advantage, by having the flexible material looped over several pulleys in turn. More loops and pulleys increases the mechanical advantage.

HEY SUNNY IS GANGSTAAA MAN :) AND so is raman >.> Image File history File links Balancedbeam. ... It has been suggested that this article or section be merged with torque. ... Levers can be used to exert a large force over a small distance at one end by exerting only a small force over a greater distance at the other. ... The force bearing on the axle has an eccentricity e with the point of contact to the rolling surface and exerts a moment about the contact point. ... An axle is a central shaft for a rotating wheel or gear. ... Friction is the force that opposes the relative motion or tendency toward such motion of two surfaces in contact. ... Pulleys on a ship. ...

Contents

Type of mechanical advantage

There are two types of mechanical advantage:

  1. Ideal mechanical advantage (IMA)
  2. Actual mechanical advantage (AMA)

Ideal mechanical advantage

The ideal mechanical advantage is the mechanical advantage of an ideal machine. It is usually calculated using physics principles because there is no ideal machine. It is 'theoretical.' An ideal machine is a machine that cannot exist in reality for a number of reasons: It is frictionless. ...


The IMA of a machine can be found with the following formula:

IMA = frac {D_E} {D_R}

where

DE equals the effort distance
DR equals the resistance distance.

...

Actual mechanical advantage

The actual mechanical advantage is the mechanical advantage of a real machine. Actual mechanical advantage takes into consideration real world factors such as energy lost in friction. In this way, it differs from the ideal mechanical advantage, which is a sort of 'theoretical limit' to the efficiency of the MA. In physics, a simple machine is any device that only requires the application of a single force to work. ...


The AMA of a machine is calculated with the following formula:

AMA = frac {R} {E_{actual}}

where

R is the resistance force,
Eactual is the actual effort force.

In physics, resistance force is the force which an effort force must overcome in order to do work on an object. ... In physics, effort force is the force used to move an object over a distance. ...

Example, graphically shown

The vertical vector force "V" is transmitted through the bars (with a vector force "F") of which one is anchored on the right side and the other pushes away a block on the left against a vector force "H". The angle α should be relatively small, say less than 5 degrees, for best performance. The ratio "H/V" equals the mechanical advantage MA. Image File history File links Kneehingeleverage. ...


In the equations the friction on the block on the left (illustrated by normal vector force "N") is ignored, as is friction in the hinges. The friction in the hinges will have less influence on the mechanical advantage with a large 'bar length'/'hinge pin diameter' ratio. However, in that case one has to be increasingly aware of material deformation.


Calculation: for angle α=0.5 degree the MA=57.3; α=1 > MA=28.6; α=2 > MA=14.3; α=3 > MA=9.5; α=5 > MA=5.7


See also


  Results from FactBites:
 
Mechanical advantage - Wikipedia, the free encyclopedia (1113 words)
In physics and engineering, mechanical advantage (MA) is the factor by which a mechanism multiplies the force put into it.
In this way, it differs from the ideal mechanical advantage, which is a sort of 'theoretical limit' to the efficiency.
In the equations the friction on the block on the left (illustrated by normal vector force "N") is ignored, as is friction in the hinges.
Cantilever Geometry (2754 words)
In the case of bicycle brakes, the mechanical advantage of the system represents the ratio between the amount of force that presses the brake shoes against the rim and the amount of force that the rider's fingers have to apply to the brake levers to create this braking force.
Traditional cantilever brakes, however, allow the mechanic to adjust the mechanical advantage to a considerable extent, mainly by adjusting the length of the transverse cable and the height of the cable yoke.
The lever's mechanical advantage is determined by the distance from the lever's pivot to the cable end, and by the effective length of the brake lever from its pivot to where the rider's fingers grip it.
  More results at FactBites »


 

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