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To find the speed of a point on the edge of a rotating fan, we can use the formula ( v = r \cdot \omega ), where ( r ) is the radius and ( \omega ) is the angular velocity in radians per second. First, convert the revolutions per minute to radians per second: ( \omega = 1840 \times \frac{2\pi \text{ radians}}{1 \text{ revolution}} \times \frac{1 \text{ minute}}{60 \text{ seconds}} \approx 192.5 \text{ rad/s} ). Then, substitute ( r = 0.183 ) m into the formula: ( v \approx 0.183 \cdot 192.5 \approx 35.24 \text{ m/s} ). Thus, the speed of the point is approximately 35.24 m/s.

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1mo ago

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