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?
d =2.5cm , r = 1.25 cm , Y = 10*10^10 N/m^2, m =1200 kg
Young modulus Y = F/A/DL/L = mg*L/A*DL
10*10^10 = (1200*9.8*900)/(3.14*1.25*1.25*10^-4*DL)
DL = 0.216 m
A mineshaft has an elevator hung from a single steel-wire cable of diameter 2.5 cm. Young's...
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?
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