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

The correct option is C Child (P) has the largest tangential velocityAs 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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