Answered

The radius of the earth is 4000 miles. How fast is someone on the equator moving compared to someone at the north pole due to daily rotation of the Earth (in miles per hour)?

Answer :

olaposi007

Answer: speed at the equator =

1047.33 miles per hour

Step-by-step explanation:

The radius of earth is 4000miles

The earth rotates on its axis, hence we calculate the circumference at the equator

Circumference, C = 2 π R

C = 2 x 3.142 x 4000miles

C = 25,136 miles

Since the total time of one complete rotation about it's axis is 24hours

Hence, the speed at the equator is

speed = 25,136/24 = 1047.33 miles per hour

The speed of the person on the equator due to daily rotation of the earth is;

Speed = 1047.221 miles per hour

  • We are told that the radius of the earth is; R = 4000 miles.

Formula for circumference is;

C = 2πR

Thus;

C = 2 × π × 4000miles

C = 25,132.74 miles

C ≈ 25133 miles

  • Now, the time it takes for the earth to complete one full rotation about it's axis is 24 hours.

We know that formula for speed is;

speed = distance/time

Thus;

Speed on the equator is;

speed = 25133/24 = 1047.221 mph

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