A 200 g spring loaded projectile launcher is used to launch a 10 g projectile. If the spring (spring constant 22 N/m) is compressed by 6.5 cm when the trigger is released, with what speed (in m/s) will the projectile launch immediately after the spring is released completely?   An 10 cm diameter fan starting from rest, accelerates uniformly, completing 30 revolutions in  14.2 seconds. What is the angular  acceleration of the fan in rad/s2.

An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a particular disk is spun at 880.7 rad/s while it is being read, and then is allowed to come to rest over 0.368 seconds,   what is the magnitude of the average angular acceleration of the disk? average angular acceleration:      rads2   If the disk is 0.12 m in diameter, what is the magnitude of the tangential acceleration of a point 1/9 of the way out from the center of the disk? tangential acceleration:       ms2

A rotating disk is initially spinning at w = 6 rev/s, slows down and stops in 19.7 s. What is the magnitude of the disk's average angular acceleration? %3D (in rev/s^2) 0.30 .a O 0.61 .b O 0.30- .c O 59.10 .d O

A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to 0 (t) = yt + Bt5.0 where y =8.0 rad/s and B = 3.0rad/s5.0 What is the initial value of the angular velocity?

Shohei Ohtani pitches a fastball with a horizontal velocity of 40 m/s. The horizontal distance from the point of release to home plate is 17.50 m. Justin Turner, the Red Samurai, decides to swing the bat 0.30 s after the ball has been released by Ohtani. The average angular velocity of the bat is 12 rad/s. The angular displacement of the bat from the Red Samurai’s shoulder to hitting positions above the plate is between 1.5 and 1.8 rad. A) Will the bat be in a hitting position above the plate when the ball is above the plate? Assume the pitch is in the strike zone and that if Turner hits it, it’s a homerun because the Dodgers are better than the Angels. B) Assume that Turner does hit the ball. If the bat’s instantaneous velocity is 30 rad/s at the instant of contact, and the distance from the sweet spot of the bat to the axis of rotation is 1.25 m, what is the instantaneous linear velocity of the sweet spot at the instant of ball contact?

The wheels of a sport car go from rest to 3000 rpm in 3 second. Its angular acceleration a is rad/s?. Type your answer.

A deep-sea fisherman hooks a big fish that swims away from the boat, pulling the fishing line from his fishing reel. The whole system is initially at rest, and the fishing line unwinds from the reel at a radius of 4.50 cm from its axis of rotation. The reel is given an angular acceleration of 110 rad/s2 for 2.00 s. Find the number of revolutions per minute the reel makes. the final answer must be 3 decimal places.

A rotating table, with moment of inertia 29 kg·m2, is spinning at 40 rpm. A piece of clay is dropped onto the table, where it sticks a distance 1.2 m from the rotational axis. If the final angular speed of the rotating table and clay is 32 rpm, what is the mass of the clay?

A platform is rotating with an angular speed of 3.00 rad/s and an angular acceleration of 11.0 rad/s². At a point on the platform that is 1.26 m from the axis of rotation, what is the magnitude of the total acceleration a?

A bottle is initially spinning with an angular velocity of ω = 1.5 rad/s. Over the span of t = 3.9 seconds the bottle angularly accelerates with α = 1.5 rad/s2. What is the angular velocity of the bottle after the 3.9 s?