Suppose a child swings around her straight arm about her shoulder joint at an angular velocity of 13 rad/s. If her arm is 40. 0 cm long, what is the speed of her hand?.

The speed of her hand is 5.2 m/s.In physics, angular velocity is a pseudovector representation of how quickly an object's angular position or orientation varies with time. Its unit is [tex]rad/s[/tex].To solve this problem we could use formula: [tex]V = R[/tex] x ω, where [tex]V[/tex] is linear velocity or speed in meter per second ([tex]m/s[/tex]), [tex]R[/tex] is radius of circle in meter, and ω is the angular velocity itself.In this case, we know the value of angular velocity and radius of circle in centimeter, so we could calculate the value of linear velocity or speed as follows:[tex]V = R[/tex] x ω  ->  [tex]V = 0.4 m[/tex] x [tex]13 rad/s[/tex]  ->  [tex]V = 5.2 m/s[/tex]To know more about angular velocity, go to:brainly.com/question/12446100#SPJ4