Answer :
Final answer:
The approximate linear velocity of a particle on the equator of the Earth is approximately 523.6 miles per hour.
Explanation:
The approximate linear velocity of a particle on the equator of the Earth can be calculated using the formula v = rω. Here, r represents the radius of the Earth and ω represents the angular velocity. The angular velocity of the Earth can be calculated using the formula ω = 2π/T, where T represents the period of rotation of the Earth. Since the period of rotation of the Earth is approximately 24 hours, the angular velocity would be approximately 2π/24 radians per hour. Substituting these values into the formula, we get v = (4000 miles) × (2π/24 radians per hour) = 523.6 miles per hour. Therefore, the approximate linear velocity of a particle on the equator of the Earth is approximately 523.6 miles per hour.
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