Answer :
When the child swings her hand around her arm, it moves at a speed of 5.2 m/s.
Angular velocity is the rate of change of a spinning body's angular location. Linear velocity, on the other hand, is referred to as the rate at which displacement changes with respect to time when an object moves along a straight line. The formula below can express the relationship between both velocities.
[tex]V=R[/tex]ω
where [tex]V[/tex] is linear velocity in m/s, [tex]R[/tex] is radius of the circular motion in meters, and ω is angular velocity in rad/s.
In this case, the value of angular velocity and radius have already been given.
ω = 13 rad/s
[tex]R[/tex] = 0,4 m
Next, we could calculate the value of linear velocity by using the mentioned formula.
[tex]V=R[/tex]ω
[tex]V =[/tex] 0,4 m x 13 rad/s
[tex]V =[/tex] 5.2 m/s
To know more about angular velocity and linear velocity, go to:
brainly.com/question/13649539
#SPJ4
