the earth rotates once every 24 hrs. a person in north america is 4.88*10^6 m from the earth's axis. what is the person's linear speed?

The linear speed is approximately 354.88361 m/s

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.