A carousel is initially at rest. At t = 0 it is given a constant angular acceleration α = 0.006 rev/s2, which increases its angular velocity. When the carousel completed 3 revolutions, determine the linear velocity in m/s of the carousel if r = 2m.

At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 5.82 m above the water. One diver runs off the edge of he cliff, tucks into a "ball," and rotates on the way down with an average angular speed of 1.83 rev/s. Ignore air resistance and etermine the number of revolutions she makes while on the way down. Number 1.99 Units rev

An electric fan is running on HIGH. After the speed setting is changed to LOW, the angular speed reduces to 800 rpm in 1.75 s. If the angular deceleration is a constant 42.0 rad/s², then find (a) the initial angular speed of the fan (when it was on HIGH) and (b) the number of revolutions that the fan turned through as it slowed from HIGH to LOW. (c) Include a diagram of the situation.

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)…

The blades in a blender rotate at a rate of 6200 rpmrpm . When the motor is turned off during operation, the blades slow to rest in 2.6 s.  What is the angular acceleration as the blades slow down?

An automobile engine slows down from 4000 rpmrpm to 1400 rpmrpm in 2.7 ss . Calculate its angular acceleration, assumed constant. Calculate the total number of revolutions the engine makes in this time.

Two Formula-one racing cars are negotiating a circular turn, and they have the same centripetal acceleration. However, the path of car A has a radius of 48 m, while that of car B is 37 m. Determine the ratio of the angular speed of car A to that of car B.