A dancer completes 3.8 revolutions in a pirouette. What is her angular displacement?
In Rad.
D = 3.8rev * 6.28rad/rev = 23.86 Rad.
To find the angular displacement, we need to know how much each revolution is in radians. Since one revolution is equal to 2π radians, we can multiply the number of revolutions by 2π to get the angular displacement in radians.
Angular Displacement = 3.8 revolutions * 2π radians/revolution
Angular Displacement = 7.6π radians
So, the dancer's angular displacement is 7.6π radians.