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A 24.0 cm long screwdriver is used as a lever to open a can of paint. If the fulcrum is 0.500 cm away from the end of the screwdriver, what is the screwdriver's ideal mechanical advantage?

Respuesta :

The ideal mechanical advantage of the screwdriver is 47

Explanation:

In this problem, the screwdriver acts as a lever.

The Ideal Mechanical Advantage (IMA) of a lever is given by:

[tex]IMA=\frac{d_i}{d_o}[/tex]

where:

[tex]d_i[/tex] is the distance of the point of application of the input force from the fulcrum

[tex]d_o[/tex] is the distance of the output force from the fulcrum

In this problem, we have:

[tex]d_o = 0.500 cm[/tex], since the fulcrum is 0.500 cm from the end

[tex]d_i = 24.0 cm - 0.500 cm = 23.5 cm[/tex] (the distance between the fulcrum and the point where are we holding the screwdriver)

Substutiting,

[tex]IMA=\frac{23.50 cm}{0.50 cm}=47[/tex]

Learn more about levers here:

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