The earth has a diameter of 12 742 km. Calculate the following: 2.2.1 The angular velocity of the tree that is on the equator

Question

Create a detailed image of a globe model representing the Earth. Overlay this on a black background to mimic space, accentuating the globe with subtle light effects to represent Sun reflection. Position the globe so the equator is clearly visible. On the equator, illustrate a lone tree standing tall, and show motion lines around the tree to denote its angular velocity. Maintain an overall aura of a scientific study.

The earth has a diameter of 12 742 km. Calculate the following: 2.2.1 The angular velocity of the tree that is on the equator

Answer 1

The angular velocity of the tree on the equator can be calculated using the formula:

Angular velocity (ω) = 2π / T

Where T is the time it takes for the earth to complete one full rotation. Since the earth completes one full rotation in one day (24 hours), T = 24 hours.

Now we convert the time to seconds:
24 hours x 60 minutes/hour x 60 seconds/minute = 86,400 seconds

Now we can calculate the angular velocity:

ω = 2π / 86,400 seconds
ω ≈ 7.27 x 10^-5 rad/s

Therefore, the angular velocity of the tree on the equator is approximately 7.27 x 10^-5 radians per second.