In a circle of radius r , an arc subtending angle θ radians has length r θ and its sector has area r 2 θ /2 . A train's wheel has diameter 1 m and makes five revolutions per second. Approximately

Question

In a circle of radius r , an arc subtending angle θ radians has length r θ and its sector has area r 2 θ /2 . A train's wheel has diameter 1 m and makes five revolutions per second. Approximately how fast does the train travel?

TestHub · Accepted Answer

The wheel covers 5π m/s, equal to 18π ≈ 56.55 km/h, approximately 57 km/h.

Mathematics - Trigonometric Equation Question with Solution | TestHub

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