Compact Zero
Compact Zero
A compact disk, which has a diameter of 12.0 cm, speeds up uniformly from zero to 4.10 rev/s in 3.20 s. ?
A compact disk, which has a diameter of 12.0cm, speeds up uniformly from zero to 4.10 rev/s in 3.20 s.
A)
What is the tangential acceleration of a point on the outer rim of the disk at the moment when its angular speed is 2.00 rev/s?
B) What is the tangential acceleration of a point on the outer rim of the disk at the moment when its angular speed is 3.00 rev/s?
Let:
w be the final angular speed,
t be the time to reach that speed,
alpha be the constant angular acceleration.
a be the tangential acceleration of a point on the circumference,
r be the radius.
alpha = wt / 2
= (4.10 * 2pi * 3.20 / 2) rad / s.
(a)
a = r alpha
= (0.12 * 4.10 * 2pi * 3.20 / 4)
= 2.47 m/s.
(b)
As alpha is constant, so is a.
a = 2.47 m/s.
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