Answer:
The linear speed is approximately 354.88361 m/s
Step-by-step explanation:
The given parameters are;
The time it takes the Earth to make one complete rotation = 24 hrs.
The distance of the location of the person in North America from the axis, r = 4.88 × 10⁶ m
The rotation per 24 hours = 1 rev/(24 h)
24 hours = 24 hours ×60 minutes/hour × 60 seconds/minute = 86,400 seconds
Therefore, we have, the rotation rate per second, n = 1 rev/(86,400 s)
The angular speed, ω = 2·π·(1 rev/(86,400 s)) ≈ 7.2722052 × 10⁻⁵ rad/s
The linear speed, v = ω × r
Therefore, v ≈ 7.2722052 × 10⁻⁵ rad/s × 4.88 × 10⁶ m = 354.88361 m/s.
The linear speed, v ≈ 354.88361 m/s.