initially marry go round is at rest
after t= 2 minutes its final angular speed is 4 rpm
[tex]w_f = 2 \pi *\frac{4}{60}[/tex]
[tex]w_f = 0.42 rad/s[/tex]
now by using kinematics we will have
[tex]w_f = w_0 + \alpha * t[/tex]
[tex]0.42 = 0 + \alpha * (2*60)[/tex]
[tex]\alpha = 3.5 * 10^{-3} rad/s^2[/tex]
[tex]\alpha = 3.5 * 10^{-3} * \frac{60*60}{2\pi}[/tex]
[tex]\alpha = 2 rev/min^2[/tex]
