Question

F12-33. The ca . R has a speed of 55 ft/s. Determine the angular velocity 8 of the radial line OA at this instant.

Answer 1

Answer:

0.1375 rad/s

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