AP Physics 1 5.1: Rotational Kinematics

Represent rotational motion over time using angular displacement, angular velocity, and angular acceleration about a specified axis.

Exam points

Relate angular displacement, angular velocity, and angular acceleration when describing rotation over time.
Use clockwise and counterclockwise conventions consistently for one-dimensional rotational descriptions.

Covered syllabus points

5.1.A—Describe the rotation of a system with respect to time using angular displacement, angular velocity, and angular…

[Maximum number: 2]

(7 points, suggested time 13 minutes)

Two pulleys with different radii are attached to each other so that they rotate together about a horizontal axle through their common center. There is negligible friction in the axle. Object 1 hangs from a light string wrapped around the larger pulley, while object 2 hangs from another light string wrapped around the smaller pulley, as shown in the figure above.
$m_{0}$ is the mass of object 1.
$1.5 m_{0}$ is the mass of object 2.
$r_{0}$ is the radius of the smaller pulley.
$2 r_{0}$ is the radius of the larger pulley.

On the axes below, sketch a graph of the angular velocity $\omega$ of the system consisting of the two pulleys as a function of time t. Include the entire time interval shown. The pulleys are released at t=0, and the string is cut at $t=t_{C}$ .

For a linear graph between 0 and $t_{C}$ , with an initial angular velocity of zero and nonzero slope 1 point
Scoring note: The slope can be positive or negative.
For a change in the sign of the slope at $t=t_{C}$ 1 point
AND
no discontinuity.
Example response for part (c)

Figure for Answer to Question 5.1 Rotational Kinematics question 1 — AP Physics 1: Algebra-Based

Total for part (c)

for question 57 points

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Covered syllabus points

5.1 Rotational Kinematics question 1