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A pipe of circular cross-section of inne...

A pipe of circular cross-section of inner radius `r` and outer radius `2r` is bent into a semi circle as shown in the diagram. A fluid of density `rho=10^(3)kg//m^(3)` is flowing through it. The breaking stress of the material of the pipe is `3xx10^(7)n//m^(2)`. The maximum velocity with which the fluid can flow in the pipe is `kxx100 m//s`. find value of `k`.

Text Solution

Verified by Experts

`2rhoAv^(2)=2F`
`sigma=(F)/(3pir^(2))=(rhoA)/(3pi)`
`sigma=(rhov^(2))/(3)`
`v=30m//s`
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