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4. A `30`-`cm`-long and `5.0`-`cm`-width wedge cut in a block with a force of `40\ N` and produce `200\ N` output force as shown. Find
a) Ideal mechanical advantage (IMA)?
b) The theoretical output Force?
d) Actual mechanical advantage (AMA)?
e) Efficiency?
4. A 30-cm-long and 5.0-cm-width wedge cut in a block with a force of 40\ N and produce 200\ N output force as shown. Find
a) Ideal mechanical advantage (IMA)?
b) The theoretical output Force?
d) Actual mechanical advantage (AMA)?
e) Efficiency?  `IMA = F_(out)/F_(i n)=L/W`
Efficiency`= (AMA)/(IMA)`
a)
`IMA =6.0`
b)
`F_(out)= 240\ N`
c)
`AMA = 5.0`
d)
Efficiency`=0.83`
Given:
Actual `F_(out) = 200\ N`
`F_(i n) = 40\ N`
`L = 30\ m`
`W= 5.0\ m`
Equations:
`IMA = F_(out)/F_(i n)=L/W`
Efficiency`= (AMA)/(IMA)`
Solution:
a)
`IMA =L/w = (30\ m)/(5.0\ m)`
`IMA =6.0`
b)
Theoretical `F_(out)`
`IMA = F_(out)/F_(i n)`
`F_(out)= F_(i n)timesIMA`
`F_(out)= (40\ N)times6.0`
`F_(out)= 240\ N`
c)
`AMA = F_(out)/F_(i n) ` where `F_(i n)` is the actual `F_(i n)`
`AMA = (200\ N)/(40\ N) `
`AMA = 5.0`
d)
Efficiency`= (AMA)/(IMA) = (5.0)/(6.0)`
Efficiency`=0.83` |