A majorette in the Rose Bowl Parade tosses a baton into the air with an initial angular velocity of 2.5 rev/s. If the baton undergoes a constant acceleration while airborne of 0.2 rev/s 2 , and its angular velocity is 0.8 rev/s when the majorette catches it, how many revolutions did it make in the air (14 rev)
An angular version of one of the equations of constant acceleration may be used:
2 2 = 1 2 + 2 or = ( 2 2 – 1 2 ) / 2
= ((0.8 rev/s) 2 – (2.5 rev/s) 2 ) / 2(-0.2 rev/s 2 )
= 14 rev