Answer:
The rate at which radar must rotate is 0.335 rad/s.
Explanation:
Given that,
Velocity = 65 m/h = 29.0576 m/s
Angle = 15°
Suppose, the radius given by
[tex]r=(100\cos2\theta)\ m[/tex]
We need to calculate the rate at which radar must rotate
Using formula of linear velocity
[tex]v=r\omega[/tex]
[tex]\omega=\dfrac{v}{r}[/tex]
Where, v = velocity
r = radius
Put the value into the formula
[tex]\omega=\dfrac{29.0576}{100\cos30}[/tex]
[tex]\omega=0.335\ rad/s[/tex]
Hence, The rate at which radar must rotate is 0.335 rad/s.