High School

The radius of the Earth is 4000 miles. What is the linear velocity of a point near the equator?

(Hint: The Earth revolves every 24 hours.)

Answer :

The linear velocity of a point near the equator can be calculated using the formula v = 2 * π * r / t where v is the linear velocity, r is the radius of the Earth, and t is the time taken for one revolution. Given that the radius of the Earth is 4000 miles and the Earth revolves every 24 hours, the linear velocity is approximately 1046.67 miles per hour.

The linear velocity of a point near the equator can be calculated using the formula:

v = 2 * π * r / t

where v is the linear velocity, π is approximately 3.14, r is the radius of the Earth, and t is the time taken for one revolution.

Given that the radius of the Earth is 4000 miles and the Earth revolves every 24 hours, we can substitute these values into the formula:

v = 2 * 3.14 * 4000 / 24

Simplifying the expression gives the linear velocity as approximately 1046.67 miles per hour.

Learn more about the topic of linear velocity here:

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