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A body of mass m=10kg is attached to one...

A body of mass m=10kg is attached to one end of a wire of length 0.3 m. The maximum angulr speed (in rad `s^(-1)`) with which it can be rotated about its other end in space station is (Breaking stress of wire `=4.8 xx 10^(7)Nm^(-2)` and area of cross-section of the wire `=10^(-2) cm^(2)` is:

A

`4rad//s`

B

`8rad//s`

C

`10rad//s`

D

`32rad//s`

Text Solution

Verified by Experts

The correct Answer is:
A
`mromega^(2)=` Breaking stress `xx` cross sectional area
`=10xx0.3omega^(2)=4.8xx10^(7)xx10^(-6)=48`
or `omega^(2)=48/3=16` or `omega=4rad//s`
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