The radius of a cycle wheel is 35 cm. Find the number of turns required tocover 1540 m.
Question
The radius of a cycle wheel is 35 cm. Find the number of turns required to cover 1540 m.
Solution
Step 1: First, we need to find the circumference of the wheel, which is the distance covered in one complete rotation. The formula for the circumference of a circle is 2πr, where r is the radius.
So, the circumference = 2 * 3.14 * 35 cm = 220 cm.
Step 2: We need to convert this circumference to meters because the distance to be covered is given in meters.
So, the circumference = 220/100 = 2.2 m.
Step 3: Now, we can find the number of turns required to cover 1540 m.
The number of turns = Total distance / Distance covered in one turn
So, the number of turns = 1540 / 2.2 = 700 turns.
Therefore, the cycle wheel needs to make 700 turns to cover a distance of 1540 m.
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