Answer:
a)
125.6 rad/s
b)
25.12 rad/s²
Explanation:
a)
t = time required by the fan to get up to final operating speed = 5 sec
w = final operating rotational speed = 1200 rpm
we know that :
1 revolution = 2π rad
1 min = 60 sec
w = [tex]1200\frac{rev}{min}\frac{2\pi rad}{1 rev}\frac{1 min}{60 sec}[/tex]
w = [tex]\frac{1200\times 2\pi }{60}\frac{rad}{s}[/tex]
w = 125.6 rad/s
b)
w₀ = initial angular speed = 0 rad/s
α = angular acceleration
using the equation
w = w₀ + α t
125.6 = 0 + α (5)
α = 25.12 rad/s²
