Respuesta :
Answer:
Her angular velocity when tucked is greater than when straight by a factor of 0.23
Explanation:
Moment of inertia (I) = mr^2 = mv^2/w^2
m is mass of the diver
v is diver's linear velocity
w is her angular velocity
When straight, I = 14 kg.m^2
mv^2/w^2 = 14
w^2 = mv^2/14
w = sqrt(mv^2/14) = 0.27sqrt(mv^2)
When tucked, I = 4 kg.m^2
w^2 = mv^2/4
w = sqrt(mv^2/4) = 0.5sqrt(mv^2)
Her angular velocity when tucked is greater than when straight by 0.23 (0.5 - 0.27 = 0.23)
Answer:
tucked angular velocity is 3.5times greater than straight angular veocity.
EXPLANATION:
Assumptions:
✓Any external force acting on the driver is neglected.(both air. Resistance and gravity)
✓based on this the angular momentum of the driver when she's straight and when she's tucks is constant.
I(straight) ×ω(straight)= I(tucked)× ω(tucked)
Is×ωs=It× ωt
Is×ωs/It=ωt
ωt=ls×ωs/lt=ls×ωs /lt
ωt=14/4ωs
ωt=3.5ωs
From above calculation, tucked angular velocity is 3.5times greater than straight angular velocity.