A baton twirler throws a spinning baton directly upward.As it goes up and returns to the twirler's hand, the baton turnsthrough four revolutions. Igno

Tyra

Tyra

Answered question

2021-02-19

A baton twirler throws a spinning baton directly upward.As it goes up and returns to the twirlers

Answer & Explanation

Nichole Watt

Nichole Watt

Skilled2021-02-20Added 100 answers

θ=4rev
ω=1.9rev/s
How long was the baton in the air?
t=θω
This is the total time in the air. The time it took torise to its maximum height is half this time: t12=12t=θ2ω
What was the baton's initial, linear velocity?
v0=qt12
v0=qt12=g(θ2ω)
To what height would it rise, given this initialvelocity?
v2=2ay
=22a=0v022(g)=v022g=(gθ2ω)2g2=g8(θω)2=5.433m

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