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Explore Angular Acceleration and Kinematics in Rotational Motion

Learn how to define and calculate angular acceleration, solve circular motion problems, and relate angular motion to linear motion. Explore kinematic equations for constant angular acceleration and their applications.

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Explore Angular Acceleration and Kinematics in Rotational Motion

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  1. Chapter 7Rotational Motion and the Law of Gravity Angular Acceleration & Angular Kinematics HMH Physics Ch 7 pages 224-269 Section 2 pages 226-231

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

  3. Angular Acceleration • 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. The driver accelerates and after 3.5 s the tire’s angular speed is 28.0 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 0.60 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)2 Δx = viΔt + ½a(Δt)2 • f2= i2 + 2Δθvf2 = 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. 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. If the wheel begins with an angular speed of 10.8 rad/s, what is the wheel’s angular speed after 3 full turns?

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