Answer :
Answer: time(t) = 1.72s
Explanation: [tex]Angular acceleration =\frac{angular velocity}{time taken}[/tex]
Let angular acceleration = α = [tex]2.69rad/s^{2}[/tex]
ω = angular velocity = 44rev/ min
the angular velocity is in rev/ min but we need to have it in rad/s , thus we do so below
recall that 1 rev = 2π and 1 min = 60s, [tex]\frac{44.2 * 2\pi }{60} \\\\ \frac{44.2 * 2*3.142}{60} \\\\= 4.63rads^{-1}[/tex]
hence 44.2rev/min = 44.2 * 2π/ 60 = 44.2 * 2 *3.142/ 60
thus angular velocity = 4.63rad/s
time taken = angular velocity/ angular acceleration
time taken = 4.63/2.69
time taken = 1.72s