Answer:
α = 1215.71 rad/s²
Explanation:
The angular acceleration of an object is defined as the time rate of change of angular velocity of he object. The formula for the angular acceleration of an object is given as follows:
α = (ωf - ωi)/Δt
where,
α = angular acceleration of the disk = ?
ωf = Final Angular Velocity = 0 rad/s (Since disk finally stops)
ωi = Initial Angular Velocity = (5050 rpm)(2π rad/rev)(1 min/60 s)
ωi = 528.83 rad/s
Δt = time interval = 0.435 s
Therefore,
α = (0 rad/s - 528.83 rad/s)/(0.435 s)
α = - 1215.71 rad/s²
here, negative sign indicates that the direction of acceleration is opposite to the direction of angular velocity or the angular motion. So, the magnitude of acceleration will be:
<u>α = 1215.71 rad/s²</u>
Answer:
![\omega_{f} = 1000000\,\frac{rev}{day}](https://tex.z-dn.net/?f=%5Comega_%7Bf%7D%20%3D%201000000%5C%2C%5Cfrac%7Brev%7D%7Bday%7D)
Explanation:
The law of conservation of angular momentum states that angular momentum remains constant when there is no external moment or forces applied to the system. Let assume that star can be modelled as an sphere, then:
![\frac{2}{5}\cdot M\cdot R_{o}^{2} \cdot \omega_{o} = \frac{2}{5}\cdot M\cdot R_{f}^{2} \cdot \omega_{f}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%5Ccdot%20M%5Ccdot%20R_%7Bo%7D%5E%7B2%7D%20%5Ccdot%20%5Comega_%7Bo%7D%20%3D%20%5Cfrac%7B2%7D%7B5%7D%5Ccdot%20M%5Ccdot%20R_%7Bf%7D%5E%7B2%7D%20%5Ccdot%20%5Comega_%7Bf%7D)
The final angular speed is:
![\omega_{f} = \omega_{o}\cdot (\frac{R_{o}}{R_{f}})^{2}](https://tex.z-dn.net/?f=%5Comega_%7Bf%7D%20%3D%20%5Comega_%7Bo%7D%5Ccdot%20%28%5Cfrac%7BR_%7Bo%7D%7D%7BR_%7Bf%7D%7D%29%5E%7B2%7D)
![\omega_{f} = (1\,\frac{rev}{day} )\cdot (\frac{10000\,km}{10\,km} )^{2}](https://tex.z-dn.net/?f=%5Comega_%7Bf%7D%20%3D%20%281%5C%2C%5Cfrac%7Brev%7D%7Bday%7D%20%29%5Ccdot%20%28%5Cfrac%7B10000%5C%2Ckm%7D%7B10%5C%2Ckm%7D%20%29%5E%7B2%7D)
![\omega_{f} = 1000000\,\frac{rev}{day}](https://tex.z-dn.net/?f=%5Comega_%7Bf%7D%20%3D%201000000%5C%2C%5Cfrac%7Brev%7D%7Bday%7D)
Answer:
by the animeals and himens getting vood
Explanation: