Answer:
0.1375 rad/s
Step-by-step explanation:
Speed of car = 55 ft/s
We are to find angular velocity, which is θ.
There are mistakes in this question. It should be θ not 8 and r = 400 ft
Radius r = 400ft
Speed = velocity = 55 ft/s
We Express transverse of velocity
Vθ = rθ
Vθ = 400θ
Then magnitude
V = √(Vr)²+(Vθ)²
55 = √0² + 400θ²
55 = √160000θ
55 = 400θ
We find the value of θ
θ = 55/400
= 0.1375rad/s
The angular velocityθ = 0.1375 rad/s