A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a light beam. We receive a radio pulse for each rotation of the star. The period T of rotation is found by measuring the time between pulses. The pulsar in the Crab nebula has a period of rotation of T = 0.033 s that is increasing at the rate of
1.26×10−5s/y
. (a) What is the pulsar’s angular acceleration α? (b) If α is constant, how many years from now will the pulsar stop rotating? (c) The pulsar originated in a supernova explosion seen in the year 1054. Assuming constant α, find the initial T.

α

b)t = 2619.8 years

c) T(i) =  0.0208536s  

Explanation:

Given that ,

The period of pulsar T = 0.033 s

The period increase at a rate of   = 1.26×10⁻⁵s/y

a) Pulsar angular speed is

ω = θ / T = 2π / T

θ = one revolution of pulsar

T = period of pulsar

Pulsar angular acceleration is given by

b) ω₀ = θ / T

0 = 190.4 - 2.303 × 10⁻⁹

c) 2018 - 1054

= 964years

The pulsar is originated in a supernova explosion 964 years ago.

then the initial period of pulsar

T(i) =  0.0208536s

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.

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2