Physics
29.09.2021 21:39
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The earth has a radius of 6.38 × 106 m and turns on its axis once every 23.9 h.

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

(a) what is the tangential speed (in m/s) of a person living in ecuador, a country that lies on the equator?

(b) at what latitude (i.e., the angle theta in the drawing) is the tangential speed one-third that of a person living in ecuador?
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jaelynnm
jaelynnm
4,4(90 marks)

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\°

onegirl435
onegirl435
4,6(19 marks)
The last one is the correct answer

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