A solid disk of radius 0.10 m is mounted on a vertical axis. A string of negligible mass is wrapped around the rim of the disk; passes over a small, lightweight, frictionless pulley as shown above; and is tied to a block of mass 0.05 kg. The system is released from rest, and a computer records the velocity of the falling block as a function of time, as shown below. a. Using the graph above, calculate the acceleration of the falling block. b. Use your result from part a. to calculate the rotational inertia of the disk. c. Calculate the angular momentum of the disk at time t = 0.45 s.

A solid disk of radius 0.10 m is mounted on a vertical axis. A string of negligible mass is wrapped around the rim of the disk; passes over a small, lightweight, frictionless pulley as shown above; and is tied to a block of mass 0.05 kg. The system is released from rest, and a computer records the velocity of the falling block as a function of time, as shown below. a. Using the graph above, calculate the acceleration of the falling block. b. Use your result from part a. to calculate the rotational inertia of the disk. c. Calculate the angular momentum of the disk at time t = 0.45 s.

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Question

a. Using the graph above, calculate the acceleration of the falling block.
b. Use your result from part a. to calculate the rotational inertia of the disk.
c. Calculate the angular momentum of the disk at time t = 0.45 s.
d. The disk is removed and replaced with a hoop of the same mass and radius, but with all of its mass concentrated near the rim of the hoop and connected to the axis by lightweight spokes. The experiment is then repeated. Is the angular acceleration of the hoop greater than, less than, or the same as that of the solid disk? _____Greater than _____Less than _____The same

1.75
1.50
1.25
1.00
0.75
0.50
0.25
0.00+
0.25
- Time (s)
0.55
0.30
0.35
0.40
0.45
0.50
Velocity (m/s)

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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The disk is remved and replaced with a hoop of the same mass and radius

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