Answer:
The time taken by dryer to come up to speed is 1.075 seconds.
Explanation:
Initial angular speed, [tex]\omega_i=0[/tex]
Final angular speed, [tex]\omega_f=4.3\ rad/s[/tex]
The dryer reaches its operating speed with an average angular acceleration of, [tex]a=4\ rad/s^2[/tex]
Let t is the time taken by dryer to come up to speed. Using first equation of motion as :
[tex]\omega_f=\omega_i+\alpha t\\\\t=\dfrac{\omega_f}{\alpha }\\\\t=\dfrac{4.3}{4}\\\\t=1.075\ s[/tex]
So, the time taken by dryer to come up to speed is 1.075 seconds.