Dhabitah, a 60 kg diver is positioned so that her radius of gyration is 0.5 m as she leaves the board with an angular velocity of 4 rads-1. Compute Dhabitah’s angular velocity when she assumes a tuck position, altering her radius of gyration to 0.25 m. Explain how the diver applied the conservation of angular momentum to perform a somersault.
Answer
Given data are
Mass of diver m=60kg
radius of gyration is K1
0.5 m
an angular velocity of ω1=
1 4 rads-1
Now
radius of gyration is K2=0.25 m
an angular velocity of ω 2
= ?
applied the conservation of angular momentum to perform
So values putting
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