The tip of a 1/3 inch hour hand travels in a circle of radius 1/3 inch. The circumference is 2π(1/3) ≈ 2.09 inches. The tip completes one circle in 12 hours, so its speed is about 0.174 inches per hour. Converting to miles per hour: 0.174 in/hr ÷ 63,360 (inches per mile) ÷ 12 (hours) ≈ 0.0000023 mph. The stated value of 0.00000275 mph is in the correct ballpark for this tiny speed. The calculation requires careful unit conversion between inches, miles, and hours.