During a certain time interval, the angular position of a swinging door is described by θ = 5.00 + 10.0t + 2.00t2, where θ is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0 and (b) at t = 3.00 s.

The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant rate as the platform moves through an angle Δθ = 5.5 radians. The platform has a radius of R = 12 cm. Calculate the angular acceleration of the platform α in rad/s2.

An object rotates about a fixed axis, and the angular position of a reference line on the object is given by θ = 0.580e6t, where θ is in radians and t is in seconds. Consider a point on the object that is 7.00 cm from the axis of rotation. At t = 0, what are the magnitudes of the point's (a) tangential component of acceleration and (b) radial component of acceleration?

A Ferris wheel has a radius of 30 m and its centre is 32 m above the ground. It rotates once every 48 s. Ethan gets on the Feris wheel at the lowest point and then the wheel starts to rotate. The amount of time it takes Ethan to reach 38 m above the ground for the first time, to the nearest tenth of a second, is S. Your answer

An astronaut is being tested in a centrifuge. The centrifuge has a radius of 9.10 m and, in starting, rotates according to θ = 0.390t2, where t is in seconds and θ is in radians. When t = 2.60 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration? (a) Number Enter your answer for part (a) in accordance to the question statement Units Choose the answer for part (a) from the menu in accordance to the question statement                                                           radrad/srad/s^2kg·m^2N·mkg·m^2/srad^2/s^2 (b) Number Enter your answer for part (b) in accordance to the question statement Units Choose the answer for part (b) from the menu in accordance to the question statement                                                           This answer has no units° (degrees)mkgsm/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3times (c) Number Enter your answer for part (c)…

A point on the second hand of a clock has a centripetal acceleration of 0.128 cm/s2. How far is this point, in cm, from the rotational axis? Ac=v2/r T=2pir/v