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physics

mechanics

Easy

Question

$A space b o b space o f space m a s s space 10 space k g space i s space a t t a c h e d space t o space w i r e space 0.3 space m space l o n g. space space I t s space b r e a k i n g space s t r e s s space i s space space 4.8 cross times 10 to the power of 7 N divided by m squared. T h e space a r e a space o f space c r o s s space s e c t i o n space o f space t h e space w i r e space i s space 1 straight O to the power of negative 6 end exponent straight m squared space space T h e space m a x i m u m space a n g u l a r space v e l o c i t y space w i t h space w h i c h space i t space c a n space b e space r o t a t e d space i n space a space h o r i z o n t a l space c i r c l e$

$4 r a d / s e c$
$8 r a d / s e c$
$2 r a d / s e c$
$1 r a d / s e c$

The correct answer is: $4 r a d / s e c$

$C e n t r i p e t a l space f o r c e space equals space b r e a k i n g space f o r c e space rightwards double arrow h space b r e a k i n g space s t r e s s space chi space c r o s s space s e c t i o n a l space a r e a table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell not stretchy rightwards double arrow r not stretchy rightwards double arrow h less than 5 r divided by 2 end cell row cell therefore h greater than 5 r divided by 2 end cell end table$

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