Calculate the linear speed due to the Earth's rotation for a person at a point on its surface located at 60.0° N latitude.The radius of the Earth is 6.40 × 10⁶ m. A)403 m/s B)233 m/s C)37.0 m/s D)74.1 m/s

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Quizplus · Accepted Answer

The linear speed (v) due to Earth's rotation for a person at a latitude can be calculated using the formula v = ωr, where ω is the angular velocity of the Earth (2π radians per 24 hours or 2π/86400 radians per second) and r is the radius of the circle that the person's motion describes on the Earth's surface. At 60° N latitude, the effective radius (r) is the Earth's radius times the cosine of the latitude (6.40 × 10^6 * cos(60°)). Thus, v = ωr = (2π/86400) * (6.40 × 10^6 * cos(60°)) ≈ 233 m/s.

Calculate the Linear Speed Due to the Earth's Rotation for a Person