A dancer completes 3.4 revolutions in a pirouette. What is her angular displacement? In rad.
To find the angular displacement, we need to know the number of revolutions completed by the dancer and convert it into radians.
1 revolution is equivalent to 2π radians. So, to convert the number of revolutions to radians, we will multiply it by 2π.
Given that the dancer completes 3.4 revolutions, we can calculate the angular displacement as follows:
Angular displacement = number of revolutions x 2π
= 3.4 x 2π
≈ 3.4 x 6.28318
≈ 20.95671 radians
Therefore, the dancer's angular displacement is approximately 20.95671 radians.