- #1
starstruck_
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Homework Statement
You decide to design a bicycle that will have only 3/4 of the angular momentum of the original wheel when both wheels are traveling along a road at the same velocity. The original wheel had a diameter of d1=37cm and rotational inertia of I1=0.32 m2kg. If your new wheel has a diameter of d2= 34cm, what is its rotational inertia?
2. Relevant equation
Angular momentum denoted by L.
L= wI (where w is the angular velocity, and I is the rotational inertia)
Rotational inertia of a ring = mR2.
w= v/r (where v is the linear velocity).
The Attempt at a Solution
I know that the angular momentum for the new wheel is 3/4 of the first wheel, their linear velocities are the same, I need rotational inertia of the new wheel.
Lnew wheel= 3/4 (v/d1/2) * m*(d2/2)^2
I honestly have no clue where to start or go with this question, or whether I'm even using all of the required equations :(