Math  /  Algebra

Question(I) In pedaling a bicycle uphill, a cyclist exerts a downward force of 420 N during each stroke. If the diameter of the circle traced by each pedal is 36 cm , calculate how much work is done in each stroke.

Studdy Solution
Calculate the work done using the formula for work, which is the product of force and distance.
Work=Force×Distance \text{Work} = \text{Force} \times \text{Distance}
Substitute the given force and the calculated distance:
Work=420 N×1.131 m \text{Work} = 420 \text{ N} \times 1.131 \text{ m}
Work474.42 J \text{Work} \approx 474.42 \text{ J}
The work done in each stroke is approximately:
474.42 J \boxed{474.42 \text{ J}}

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