A bug is on the rim of a 78 rev/min, 12 in. diameter record. The record moves from rest to its final angular speed in 2.91 s. Find the bug’s centripetal acceleration 1.5 s after the bug starts from rest. (1 in = 2.54 cm). Answer in units of m/s 2 .

Centripetal Acceleration = 2.701 m/s²

Explanation:

Given:

Starting from rest so initial angular velocity  ωi = 0 rad/s

Final angular velocity ωf= 78 rev/min =78 × 2π /60 rad/s = 8.168 rad/s

Radius of Rim =d/2 =12/6= 6 in = 6× 2.54 cm =15.24 cm = 0.1524 m

angular acceleration α = (ωf - ωi)/t = (8.168 rad/s - 0 rad/s)/2.91 s

α =2.807 rad/s²

now to find angular velocity at 1.5 s we have

ω = α × t =  2.807 rad/s² × 1.5 s = 4.210 rad/s

so centripetal acceleration ac = ω² r =  (4.210 rad/s)² × 0.1524 m

ac= 2.701 m/s²

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.

d is the correct answer