1. Chapter 7 Rotational Motion and the Law of Gravity
Angular Acceleration &
Angular Kinematics
HMH Physics Ch 7 pages
Section 2 pages

2. Define Angular Acceleration.
Calculate Angular Acceleration.
Solve circular motion problems using Angular Kinematic equations.
Relate angular motion to linear motion.

3. ave = ave = Angular Acceleration  angular velocity rad
Occurs when angular speed changes
 angular velocity rad
t change of time s2
 = f i
t = tf - ti
ave =
ave =

4. A car’s tire rotates at an initial angular speed of 21. 5 rad/s
A car’s tire rotates at an initial angular speed of 21.5 rad/s. The driver accelerates and after 3.5 s the tire’s angular speed is rad/s. What is the tire’s average angular acceleration during the 3.5 s time interval?

5. What is the average angular acceleration of a ferris wheel that starts out at 0.50 rad/s then speeds up to rad/s in 0.50 s?

6. Kinematic equations for constant angular acceleration
Angular Linear or Tangential
f = i + Δt vf = vi + aΔt
Δθ = iΔt + ½(Δt) Δx = viΔt + ½a(Δt)2
f2= i2 + 2Δθ vf2 = vi2 + 2aΔx
Δθ = ½(I + f)Δt Δx = ½(vI + vf)Δt

7. The wheel on an upside-down bicycle moves through 11. 0 rad in 2. 0 s
The wheel on an upside-down bicycle moves through 11.0 rad in 2.0 s. What is the wheel’s angular acceleration if its initial speed is 2.0 rad/s?

8. A wheel accelerates with an angular acceleration of 22. 4 rad/s2
A wheel accelerates with an angular acceleration of 22.4 rad/s2. If the wheel begins with an angular speed of 10.8 rad/s, what is the wheel’s angular speed after 3 full turns?