mcarloni
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A gymnast is performing a floor routine. In a tumbling run she spins through the air, increasing her angular velocity from 2.90 to 5.40 rev/s while rotating through one half of a revolution. How much time does this maneuver take?
Knowns:
w0 = 2.9 rev/sec * 2pi rad = 18.22 rad/sec
w = 5.4 rev/sec * 2pi rad = 33.92 rad/sec
θ = 180?
θ = 1/2 (w0 + w) t
180 = 1/2 (18.22 + 33.92) t
180 = 1/2 (52.14) t
(/180) 180 t = 26.07 (/180)
t = .1448
I know this is incorrect, and would appreciate help in the right direction.
Knowns:
w0 = 2.9 rev/sec * 2pi rad = 18.22 rad/sec
w = 5.4 rev/sec * 2pi rad = 33.92 rad/sec
θ = 180?
θ = 1/2 (w0 + w) t
180 = 1/2 (18.22 + 33.92) t
180 = 1/2 (52.14) t
(/180) 180 t = 26.07 (/180)
t = .1448
I know this is incorrect, and would appreciate help in the right direction.