Single Choice

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?

AChild (P) had the largest angular displacement
BChild (L) had the largest tangential displacement
CChild (P) has the largest tangential velocity
Correct Answer
DChild (L) had the largest angular velocity

Solution

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.

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