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What would be the greatest length of a s...

What would be the greatest length of a steel wire, which when fixed at one end can hang freely without breaking? Density of steel = `7800(kg)/m^3` Breaking stress of steel = `7.8 xx 10^8 N/M^2,g = 10m/s^2`

Text Solution

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Breaking stress = `(mg)/A = (ALDg)/A = Ldg`
`therefore L = "Breaking dtress"/(dg) = (7.8 xx 10^8)/(7.8 xx 10^3 xx 10)`
`10^4 m = 10km`.
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