Question

The earth has a radius of 6.38 × 106 m and turns on its axis once every 23.9 h.

Answer 1

Answer:

a) V = 465.9 m/s

b) θ = 70.529°

Explanation:

Let's first calculate angular velocity of earth:

$\omega=\frac{2\pi}{23.9h}*1h/3600s$

Velocity of a person on Ecuador will be:

$V_E = \omega*R$

$V_E = 465.9 m/s$

For part b, since angular velocity is the same:

$\frac{\omega*R}{3}=\omega*(R*cos\theta )$

Solving for θ:

$\theta=acos(1/3)$

$\theta=70.529\°$