A disk with mass m = 11.8 kg and radius R = 0.31 m begins at rest and accelerate
ID: 1912923 • Letter: A
Question
A disk with mass m = 11.8 kg and radius R = 0.31 m begins at rest and accelerates uniformly for t = 17.2 s, to a final angular speed of ? = 31.0 rad/s.
1) What is the angular acceleration of the disk? rad/s2
2) What is the angular displacement over the 17.2 s? rad
3) What is the moment of inertia of the disk? kg-m2
4) What is the change in rotational energy of the disk? J
5) What is the tangential component of the acceleration of a point on the rim of the disk when the disk has accelerated to half its final angular speed? m/s2
6) What is the magnitude of the radial component of the acceleration of a point on the rim of the disk when the disk has accelerated to half its final angular speed? m/s2
7) What is the final speed of a point on the disk half-way between the center of the disk and the rim? m/s
8) What is the total distance a point on the rim of the disk travels during the 17.2 seconds? m
A disk with mass m = 11.8 kg and radius R = 0.31 m begins at rest and accelerates uniformly for t = 17.2 s, to a final angular speed of ? = 31.0 rad/s. 1) What is the angular acceleration of the disk? rad/s2 2) What is the angular displacement over the 17.2 s? rad 3) What is the moment of inertia of the disk? kg-m2 4) What is the change in rotational energy of the disk? J 5) What is the tangential component of the acceleration of a point on the rim of the disk when the disk has accelerated to half its final angular speed? m/s2 6) What is the magnitude of the radial component of the acceleration of a point on the rim of the disk when the disk has accelerated to half its final angular speed? m/s2 7) What is the final speed of a point on the disk half-way between the center of the disk and the rim? m/s 8) What is the total distance a point on the rim of the disk travels during the 17.2 seconds? mExplanation / Answer
w2=t==>= 31/17.2= 1.8
b)w^2=2s==>s= 266.9
c)I=mr^2/2 =0.566
d)1/2Iw^2= 0.916
e)a=v^2/r =rw^2 =0.31*1.8^21.004
f)r1w1=r2w2==> 2*1.8=3.6
g)w^2=2s==>s= 266.9 266.9*2*3.14*0.31= 519.6
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