12. Rotational Kinematics
Rotational Velocity & Acceleration
12. Rotational Kinematics Rotational Velocity & Acceleration
6PRACTICE PROBLEM
A toy Ferris wheel spins such that its angular position follows the equation θ(t) = X + Yt - Zt3, where θ is measured in radians, t is measured in seconds, and X, Y, and Z are constants. At t = 0, the angular position of the wheel is θ = π/5 while the angular velocity is 1.60 rad/s. At another instance of time, t = 1.40 s, the wheel has an angular acceleration of 1.30 rad/s2. Determine the angular acceleration of the wheel at the moment when θ = π/5 rad.
A toy Ferris wheel spins such that its angular position follows the equation θ(t) = X + Yt - Zt3, where θ is measured in radians, t is measured in seconds, and X, Y, and Z are constants. At t = 0, the angular position of the wheel is θ = π/5 while the angular velocity is 1.60 rad/s. At another instance of time, t = 1.40 s, the wheel has an angular acceleration of 1.30 rad/s2. Determine the angular acceleration of the wheel at the moment when θ = π/5 rad.