Problem: Asbestos is a fibrous silicate mineral with remarkably high tensile strength. But it is no longer used because airborne asbestos particles can cause lung cancer. Grunerite, a type of asbestos, has a tensile strength of 3.5 x 102 kg/mm2 (thus, a strand of grunerite with a 1-mm 2 cross-sectional area can hold up to 3.5 x 102 kg). The tensile strengths of aluminum and Steel No. 5137 are 2.5 x 104 lb/in2 and 5.0 x 104 lb/in2, respectively. Calculate the cross-sectional areas (in mm2) of wires of aluminum and of Steel No. 5137 that have the same tensile strength as a fiber of grunerite with a crosssectional area of 1.0 μm2.

FREE Expert Solution

First step is to find the mass that a grunerite with a crosssectional area of 1.0 μmcan hold. 

This can be solved by multiplying 1.0 μm2 to the tensile strength and with proper conversion of μm2.to mm2

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Problem Details

Asbestos is a fibrous silicate mineral with remarkably high tensile strength. But it is no longer used because airborne asbestos particles can cause lung cancer. Grunerite, a type of asbestos, has a tensile strength of 3.5 x 102 kg/mm2 (thus, a strand of grunerite with a 1-mm 2 cross-sectional area can hold up to 3.5 x 102 kg). The tensile strengths of aluminum and Steel No. 5137 are 2.5 x 104 lb/in2 and 5.0 x 104 lb/in2, respectively. Calculate the cross-sectional areas (in mm2) of wires of aluminum and of Steel No. 5137 that have the same tensile strength as a fiber of grunerite with a crosssectional area of 1.0 μm2.

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