Final answer:
The speed of Earth's rotation near the equator is calculated by dividing the distance rotated in a given time, resulting in a speed of 1.0625 kilometers per second, or about 3,825 kilometers per hour, which is roughly 2,295 miles per hour after conversion.
Step-by-step explanation:
To calculate the speed of Earth's rotation near the equator, we use the information given that the Earth rotates approximately 3 4 kilometers every 3 2 seconds. The speed is the distance traveled divided by the time taken, so:
Speed = Distance / Time = 34 km / 32 sec = 1.0625 km/sec
To get a sense of this linear velocity, imagine yourself standing at the equator; you would be moving eastward at this speed due to the Earth's rotation. In one hour, you would cover a distance of 1.0625 km/sec multiplied by 3 600 seconds (the number of seconds in one hour), resulting in 3,825 kilometers per hour. To convert this into miles per hour, multiply by 0.6 (as per the conversion trick), giving you approximately 2,295 miles per hour.