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Question

Two children are riding a merry-go-round. Child (P) rides on the outside rim of the merry-go-round, while Child (L) rides on the inside rim of the merry-goround. At the end of the ride, identify the correct statements about children?


A
Child (P) had the largest angular displacement
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B
Child (L) had the largest tangential displacement
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C
Child (P) has the largest tangential velocity
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D
Child (L) had the largest angular velocity
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E
Child (L) had the largest linear acceleration
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Solution

The correct option is C Child (P) has the largest tangential velocity
As both children are covering equal angle in equal time therefore their angular displacement and velocity  $$\omega$$ , will be equal .
   Now , tangential velocity is given by ,
                   $$v=r\omega$$ ,
 where $$r=$$radius , $$\omega=$$ angular velocity , 
 since $$\omega $$ is same for both children but radius of child(P) is greater than child(L) ,therefore , child(P) has the largest tangential velocity.

Physics

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