Automobile traveling at 65 mph constant on the road described below. Find rate at which radar must rotate when theta = 15 deg. Ans: theta_dot = 0.219 rad/s.

Respuesta :

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.