A dancer completes 3.2 revolutions in a pirouette. What is her angular displacement?
2 answers
3.2 * 2pi
When a dancer completes 3 revolutions he is at the same place where it started.
3.2 - 3 = 0.2 revolutions
1 revolution = 2 π radians
( 3.2 - 3 ) ∙ 2 π = 0.2 ∙ 2 π = 0.4 π radians
OR
1 revolution = 360°
( 3.2 - 3 ) ∙ 360° = 0.2 ∙ 360° = 72°
3.2 - 3 = 0.2 revolutions
1 revolution = 2 π radians
( 3.2 - 3 ) ∙ 2 π = 0.2 ∙ 2 π = 0.4 π radians
OR
1 revolution = 360°
( 3.2 - 3 ) ∙ 360° = 0.2 ∙ 360° = 72°