A mineshaft has an elevator hung from a single steel-wire cable of diameter 2.5 cm. Young's modulus of the cable is 10×1010N/m2. When the cable is fully extended, the end of the cable is 600 m below the support. How much does the fully extended cable stretch when 1000 kg of ore is loaded into the elevator?
stress = F/A
= m*g/(pi*d^2/4)
= 1000*9.8/(pi*0.025^2/4)
= 1.996*10^7 N/m^2
we know, young's modulus, Y = stress/strain
strain = streess/Y
delta_L/L = stress/Y
delta_L = L*stress/Y
= 600*1.996*10^7/(10*10^10)
= 0.12 m or 12 cm <<<<<<--------Answer
A mineshaft has an elevator hung from a single steel-wire cable of diameter 2.5 cm. Young's modulus of the cable is 10×...
A mineshaft has an elevator hung from a single steel-wire cable of diameter 2.5 cm. Young's modulus of the cable is 10×1010N/m2. When the cable is fully extended, the end of the cable is 900 m below the support. How much does the fully extended cable stretch when 1200 kg of ore is loaded into the elevator?
How much force does it take to stretch a 10-m-long, 1.0 cm -diameter steel cable by 3.0 mm ? The Young's modulus of steel is 20×1010N/m2.
A particular human hair has a Young's modulus of 3.18 × 109 N/m2 and a diameter of 152 μm. If a 268 g object is suspended by the single strand of hair that is originally 16.0 cm long, by how much A L hair will the hair stretch? If the same object were hung from an aluminum wire of the same dimensions as the hair, by how much Δ LAI would the aluminum stretch? If the strand of hair is...
Orb spiders make silk with a typical diameter of 0.15 mm. The Young's modulus of spider silk is 0.2×1010N/m2 and its tensile strength is 1000×106N/m2. Part A: A typical large orb spider has a mass of 0.50 g. If this spider suspends itself from a single 12-cm-long strand of silk, by how much will the silk stretch? (answer in mm) Part B: What is the maximum weight that a single thread of this silk could support? (answer in N)
Steel Young's Modulus (Y) 20 X 1010 N/m2 Shear Modulus (S) 8.1 X 1010 N/m2 Bulk Modulus (B) 16 X 1010 N/m2 The table to the above represents various properties of steel. You have steel wire 4.4 meters in length that stretches 0.12 cm when subjected to a force of 300 N. 1)What is the diameter of the wire? d1 =__________ cm 3)What would the diameter of the wire be if you wanted the wire to stretch 0.06 cm less...
Find the minimum diameter of an l = 16.7 m long steel wire that will stretch no more than 9.53 mm when a mass of 361 kg is hung on the lower end. (Hint: The Young's modulus of steel is 200.0 GPa.)
A particular human hair has a Young's modulus of 3.80 x 10 N/m² and a diameter of 150 um. If a 234 g object is suspended by the single strand of hair that is originally 15.0 cm long, by how much AL hair will the hair stretch? AL hair = m If the same object were hung from an aluminum wire of the same dimensions as the hair, by how much ALA would the aluminum stretch? ALAI = ALA =...
A mass of 50. kg is suspended from a steel wire of diameter 1.0 mm and length 11.2 m. How much will the wire stretch? (The Young's modulus for steel is 20 × 10^10 N/m^2) The answer is 34.9 mm Showing all work please explain how this answer came about.
A particular human hair has a Young's modulus of 3.54 × 10 9 N/m 2 and a diameter of 143 μm. If a 215 g object is suspended by the single strand of hair that is originally 19.0 cm long, by how much Δ L hair will the hair stretch? Δ L hair = m If the same object were hung from an aluminum wire of the same dimensions as the hair, by how much Δ L Al would the...
A thin-walled pipe of 10 cm diameter is used to carry hot steam at a pressure of 2.5 MPa. The pipe is made with a steel with Young's modulus of 200 GPa, yield strength of 1000 MPa and fracture toughness (KIe) of 2.85x107 Nm32. Determine the minimum thickness of the pipe using the leak-before-break criterion assuming a semi-circular shape of the cracks in the vessel wall and a safety factor of 9. (b) 17 marks] A thin-walled pipe of 10...