Let's find out the Mechanical Efficiency of a simple machine, the Wedge.
What is a Wedge?
It is a machine to raise load like a screw jack. It consists of three sliding pairs. Frame(A), Wedge(W) and Sliders(S). When a force(F) is applied to the wedge, the slider is raised in the guides raising the load.
Mechanical efficiency of the wedge = Load raised when friction is considered/Load raised when friction is neglected when the force applied is the same
Important parameters: Wedge Angle = 30° Coefficient of friction between between Slider(S) and Frame(A) = 0.105 Coefficient of friction between between Slider(S) and Frame(W) = 0.141
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Downloadable CAD and Simulation Data
(3DXML File)
Calculation of Mechanical Efficiency from Simulation data:
Case I: When friction is neglected
Force applied = 2 N
Load raised = Weight of the wedge + Force on spring
where,
Weight of the wedge = Mass of Wedge * Acceleration due to gravity = 0.167 * 9.81 = 1.64 N
and Force on spring = 1.79 N (From the simulation)
Load raised = 1.64 + 1.79 = 3.43 N
Case II: When friction is considered
Force applied = 2 N
Load raised = Weight of the wedge + Force on spring
where,
Weight of the wedge = Mass of Wedge * Acceleration due to gravity = 0.167 * 9.81 = 1.64 N
and Force on spring = 0.58 N (From the simulation)
Load raised = 1.64 + .58 = 2.25 N
Mechanical efficiency =
load raised when friction is considered/Load raised when friction is neglected
= 2.25/3.43
= 0.66
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