A certain part of an aircraft engine has a volume of 1.6ft 3 . (a) Find the weig

Question

A certain part of an aircraft engine has a volume of 1.6ft3. (a) Find the weight of the piece when it is made ofiron. (b) If the same piece is made of aluminum, find theweight and determine how much weight is saved by using aluminuminstead of iron. Please explain this question in detail for both a and b. Thank you. A certain part of an aircraft engine has a volume of 1.6ft3. (a) Find the weight of the piece when it is made ofiron. (b) If the same piece is made of aluminum, find theweight and determine how much weight is saved by using aluminuminstead of iron. Please explain this question in detail for both a and b. Thank you.

Explanation / Answer

        Volume, V = 1.6 ft^3                          = 1.6 * 0.0283 m^3                          = 0.04528 m^3          Density of Iron,Fe = 7800 kg/m^3          Density ofAluminum, Al = 2700 kg/m^3          (a)            Massof Iron piece, M = Fe V                                              = 7800 * 0.04528                                              = 353.2 Kg            Weightof Iron piece, W = M g                                                 = 353.2 * 9.8                                                 = 3461.2 N         (b)           Massof Aluminum piece, M' = Al V                                                        = 2700 * 0.04528                                                        = 122.3 kg            Weightof Aluminum piece, W' = M' g                                                           = 122.3 * 9.8                                                           = 1198.1 N            Saving of mass by using aluminum, m = M - M' = 353.2 - 122.3= 230.9 kg            Saving of weight by using aluminum, W = W - W' = 3461.2-1198.1 = 2263.1 N

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