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A small but heavy block of mass 10 kg is...

A small but heavy block of mass `10 kg` is attached to a wire `0.3 m` long. Its breaking stress is `4.8 xx 10^(7) N//m^(2)`. The area of the cross section of the wire is `10^(-6) m^(2)`. The maximum angular velocity with which the block can be rotated in the horizontal circle 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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