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

Answer 1

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.