Calculate the efficiency of a four wheel pulley system if it is used to lift a load off 500 n by using effort of 300n .(Ans 41.66)
Answers
The mechanical advantage (MA) of a machine is a measure of how much the force is multiplied. It is the ratio of load/effort:
M
A
=
L
E
Because energy is conserved, this is done as a trade - off against the distance the effort moves compared with the load.
The ideal mechanical advantage (IMA) is the ratio of the distance moved by the effort/distance moved by the load.
I
M
A
=
D
e
D
l
If we divide MA by IMA we get:
L
×
D
l
E
×
D
e
= Work done on the load / Work done by the effort.
In an ideal world this ratio would equal However there are energy losses due to friction etc. We usually express this ratio in terms of efficiency
E
:
E
=
M
A
I
M
A
×
100
In this case:
M
A
=
L
E
=
21
×
9.8
91.5
=
2.25
M
A
I
M
A
×
100
=
75
∴
I
M
A
=
M
A
×
100
75
=
225
75
=
3
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