Answer:
ω = 0.436 rev/sec = 2.736 rad/sec
Explanation:
By definition, the angular acceleration is the rate of change of angular velocity, which is described by the following expression:
[tex]\alpha = \frac{wf-wo}{t-to}[/tex]
Solving for ωf :
ωf = ω₀ + α*t (assuming t₀ = 0)
Replacing by givens in the problem, ω₀ = 0.250 rev/s, t =0.207 sec, and α = 0.896 rev/s², we have:
ωf = 0.250 rev/s +( (0.896 rev/s²)*(0.207 s)) = 0.436 rev/sec
Expressed in rad/sec:
ωf [tex]= 0.436 rev/sec*2*\pi =2.736 rad/sec[/tex]
