As we know that angular speed is given as
[tex]\omega_i = 36 rad/s[/tex]
[tex]\omega_f = 34.2 rad/s[/tex]
times taken as
[tex]\Delta t = 0.595 s[/tex]
now we have
[tex]\alpha = \frac{\omega_f - \omega_i}{\Delta t}[/tex]
now we have
[tex]\aplha = \frac{34.2 - 36}{0.595}[/tex]
[tex]\alpha = -3.03 rad/s^2[/tex]
Now to find the number of revolutions we can use another equation
[tex]N = \frac{(\omega_f + \omega_i)t}{4\pi}[/tex]
Now we have
[tex]N = \frac{(36 + 34.2)(0.595)}{4\pi}[/tex]
[tex]N = 3.32 rev[/tex]
