Question

what is the linear velocity of aperson standing at the equator of earth ?​

Answer 1

Answer:

Explanation:

Angular velocity is the same anywhere on Earth, because regardless where you are, you still need 24 h to make one rotation.

For the Earth to spin once it takes 23 hours 56 minutes 4 seconds, or rounded, 86 400 seconds.

So the angular velocity formula is:

2π radians/86 400 seconds equals 7.27 × 10−5 rad/s

The linear speed varies with latitude, from 1040 mph or 1600 km/h at Equator to zero at Poles.

The formula for calculating linear speed function of radius and latitude is:

V = 2π(6340km) * cos (lat) / 86 400 sec

Where:

V= linear speed in km/s at that latitude

6340km is Earth radius

lat is the desired latitude.

And if you want that speed at a certain height, you just add that height to the radius.

(!do not mix/add meters or feet with km!)