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Consider a spherical globe rotating about an axis passing through its poles. There are three points P, Q, and R situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere. Let P, Q, and R move with speeds v_P, v_Q, and v_R respectively. Which one of the following options is CORRECT?

1. v_P < v_R < v_Q
2. v_P < v_Q < v_R
3. v_P > v_R > v_Q
4. v_P = v_R ≠ v_Q

Correct answer: v_P > v_R > v_Q

Solution

All points share the same angular velocity, so linear speed v = omega*R*cos(latitude). The equator (P) has the largest radius, the pole (Q) has zero, and the mid-latitude point (R) is in between, giving vP > vR > vQ, option index 2.

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