A hydraulic lift is used to raise a 15,000-N object. Theradius of the lift shaft

Question

A hydraulic lift is used to raise a 15,000-N object. Theradius of the lift shaft is 8 cm and that of the input cylinder 1cm. Find (a) the pressure in the life cylinder in N/cm^2, (b)the pressure in the input cylinder, (c) the input force, (d) themechanical advantage. I got this wrong on my homework. My teacher did not go overthe question with us nor gave us the answer to this question.Please help. A hydraulic lift is used to raise a 15,000-N object. Theradius of the lift shaft is 8 cm and that of the input cylinder 1cm. Find (a) the pressure in the life cylinder in N/cm^2, (b)the pressure in the input cylinder, (c) the input force, (d) themechanical advantage. I got this wrong on my homework. My teacher did not go overthe question with us nor gave us the answer to this question.Please help.

Explanation / Answer

Weight of the object W = 15000 N The radius of the lift shaft r = 8 cm Area of cross section A = r ^ 2                                    = 201.06 cm ^ 2 Radius of the input cylinder r ' = 1 cm Area of cross section of input cylinder A ' = r ' ^2                                                               = 3.14 cm ^ 2 (a) the pressure in the life cylinder P = W / A                                                        =74.6  N/cm^2 (b) the pressure in the input cylinder P ' = W / A'                                                            = 4774.64 Pa (c) the input force = P ' A ' = 15000 N

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