Find the minimum diameter the larger cylinder of a hydraulic press can have if it is to lift a 1.1 x 10^4 N car with an applied liquid pressure of 420 N/cm^2 in the smaller cylinder, having a diameter of 1.5 cm.

diameter = 5.78 cm .

Explanation:

According to Pascal's law, pressure will be equally transferred from smaller to larger cylinder.  

Let the radius of larger cylinder be r cm

cross sectional area = π r²

pressure created on larger cylinder = 1.1 x 10⁴ / π r²

This pressure must be equal to 420 N / cm²

1.1 x 10⁴ / π r² =  420

r² = 8.34

r = 2.89 cm

diameter = 5.78 cm .

the minimum amperage that the current in this wire would have to have so that its weight is completely supported by the magnetic force due to earth's field, assuming that no other forces except gravity act on it

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