10.1 Angular Acceleration Uniform Circular Motion and Gravitation discussed only uniform circular motion, which is motion in a circle at constant speed and, hence, constant angular velocity. Recall that angular velocity m was defined as the time rate of change of angle 0: (10.1) At where is the angle of rotation as seen in Figure 10.3. The relationship between angular velocity o and linear velocity v was also defined in Rotation Angle and Angular Velocity as v = ro (10.2) or 0 = }, (10.3) where r is the radius of curvature, also seen in Figure 10.3. According to the sign convention, the counter clockwise direction is considered as positive direction and clockwise direction as negative Δθ Direction of rotation Figure 10.3 This figure shows uniform circular motion and some of its defined quantities.
10.1 Angular Acceleration Uniform Circular Motion and Gravitation discussed only uniform circular motion, which is motion in a circle at constant speed and, hence, constant angular velocity. Recall that angular velocity m was defined as the time rate of change of angle 0: (10.1) At where is the angle of rotation as seen in Figure 10.3. The relationship between angular velocity o and linear velocity v was also defined in Rotation Angle and Angular Velocity as v = ro (10.2) or 0 = }, (10.3) where r is the radius of curvature, also seen in Figure 10.3. According to the sign convention, the counter clockwise direction is considered as positive direction and clockwise direction as negative Δθ Direction of rotation Figure 10.3 This figure shows uniform circular motion and some of its defined quantities.
10.1 Angular Acceleration Uniform Circular Motion and Gravitation discussed only uniform circular motion, which is motion in a circle at constant speed and, hence, constant angular velocity. Recall that angular velocity m was defined as the time rate of change of angle 0: (10.1) At where is the angle of rotation as seen in Figure 10.3. The relationship between angular velocity o and linear velocity v was also defined in Rotation Angle and Angular Velocity as v = ro (10.2) or 0 = }, (10.3) where r is the radius of curvature, also seen in Figure 10.3. According to the sign convention, the counter clockwise direction is considered as positive direction and clockwise direction as negative Δθ Direction of rotation Figure 10.3 This figure shows uniform circular motion and some of its defined quantities.
Angular Acceleration • Describe uniform circular motion. • Explain non-uniform circular motion. • Calculate angular acceleration of an object. • Observe the link between linear and angular acceleration.
Transcribed Image Text:10.1 Angular Acceleration
Uniform Circular Motion and Gravitation discussed only uniform circular motion, which is motion in a circle at constant speed
and, hence, constant angular velocity. Recall that angular velocity m was defined as the time rate of change of angle 0:
(10.1)
At
where is the angle of rotation as seen in Figure 10.3. The relationship between angular velocity o and linear velocity v was
also defined in Rotation Angle and Angular Velocity as
v = ro
(10.2)
or
0 = },
(10.3)
where r is the radius of curvature, also seen in Figure 10.3. According to the sign convention, the counter clockwise direction is
considered as positive direction and clockwise direction as negative
Δθ
Direction of rotation
Figure 10.3 This figure shows uniform circular motion and some of its defined quantities.
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 .
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
