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Bicycle wheel accelerates. Here\'s what I know. The mass of the weight is 100 gr

ID: 1347399 • Letter: B

Question

Bicycle wheel accelerates.

Here's what I know. The mass of the weight is 100 grams (0.1 kg). The time it takes the mass to fall 90 cm (0.9 m) is 1.0667 s. If you need to know how many revolutions the bike wheel makes during the 0.9 m, that is approximately 0.49 rev. Radius is 0.31 m. Magnitude of the acceleration of the weight is 1.58 m/s^2. Here's the question I'm stuck on. Please list all steps to complete, so I can learn for future problems. Thanks

a. Determine the rotational inertia of the wheel around its center of mass.

10 20 30- Bicycle wheel accelerates suspended mass = 100 ± 0.1 grams 40 60 frames+0 60 frames per second 70 80 © 2012 Peter Bohacek 90

Explanation / Answer

m = 0.1 kg

R = 0.31 m

Rotational inertia of wheel I =mR2 = 0.1(0.31)2

I =0.00961 kg.m2