Converting Between Linear & Rotational Video Lessons

Concept

# Problem: A merry-go-round is rotating at constant angular speed. Two children are riding the merry-go-round: Ana is riding at point A and Bobby is riding at point B. Part A Which child moves with greater magnitude of velocity? Ana has the greater magnitude of velocity. Bobby has the greater magnitude of velocity. Both Ana and Bobby have the same magnitude of velocity. Part B Who moves with greater magnitude of angular velocity? Ana has the greater magnitude of angular velocity. Bobby has the greater magnitude of angular velocity. Both Ana and Bobby have the same magnitude of angular velocity.

###### FREE Expert Solution

Part A

Velocity:

$\overline{){\mathbf{v}}{\mathbf{=}}{\mathbf{r}}{\mathbf{\omega }}}$

rB is greater than rA. Thus, B has greater magnitude of velocity.

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###### Problem Details

A merry-go-round is rotating at constant angular speed. Two children are riding the merry-go-round: Ana is riding at point A and Bobby is riding at point B.

Part A Which child moves with greater magnitude of velocity?

1. Ana has the greater magnitude of velocity.
2. Bobby has the greater magnitude of velocity.
3. Both Ana and Bobby have the same magnitude of velocity.

Part B Who moves with greater magnitude of angular velocity?

1. Ana has the greater magnitude of angular velocity.
2. Bobby has the greater magnitude of angular velocity.
3. Both Ana and Bobby have the same magnitude of angular velocity.