Answer:
Distance covered will be 10 radian
Explanation:
We have given initial angular velocity [tex]\omega _i=8rad/sec[/tex]
As the record player finally stops so final angular velocity [tex]\omega _f=0rad/sec[/tex]
Time t = 2.5 sec
From first equation of motion we know that
[tex]\omega _f=\omega _i+\alpha t[/tex]
So [tex]0=8+\alpha \times 2.5[/tex]
[tex]\alpha =-3.2rad/sec^2[/tex]
Now we know that
[tex]\Theta =\omega _it+\frac{1}{2}\alpha t^2=0\times 2.5+\frac{1}{2}\times 3.2\
2.5^2=10rad[/tex]
So distance covered will be 10 radian
