Question 1039894: Jessica stretches her arms out 0.6 m from the center of her body while holding a 2 kg mass in each hand. She then spins around on an ice rink at 1.1 m/s.
a.What is the combined angular momentum of the masses?
Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! While spinning at a constant rpm, Jessica has a constant angular velocity,
which the problem ignores,
and various parts of her body have different linear velocities,
with her fingertips traveling in circles, faster than her nose,
and the top point of her head not moving much.
The 2 kg masses must be traveling in circles at a tangential velocity of 1.1 m/s.
Assuming those weights are small, so that you can consider the whole 2 kg mass to be at 0.6 m from the center of rotation,
the angular momentum can be calculated as
where
= radius of rotation, in meters,
= mass in kg, and
= tangential speed in m/s.
So the answer is = .
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