Calculating the Number of Revolutions:

To determine the number of revolutions a cycle wheel of diameter 40 cm would make to cover a distance of 176 meters, we need to consider the relationship between the circumference of the wheel and the distance covered.

1. Finding the Circumference of the Wheel:

The circumference of a circle can be calculated using the formula:

Circumference = π * diameter

Given that the diameter of the wheel is 40 cm, we can calculate its circumference as follows:

Circumference = π * 40 cm
Circumference ≈ 3.14 * 40 cm
Circumference ≈ 125.6 cm

Thus, the circumference of the cycle wheel is approximately 125.6 cm.

2. Calculating the Number of Revolutions:

To find the number of revolutions required to cover a distance of 176 meters, we need to convert the distance into centimeters and then divide it by the circumference of the wheel.

Since 1 meter is equal to 100 centimeters, the distance of 176 meters can be converted to centimeters as follows:

Distance in centimeters = 176 meters * 100 cm/meter
Distance in centimeters = 17,600 cm

Now, we can calculate the number of revolutions using the following formula:

Number of revolutions = Distance in centimeters / Circumference
Number of revolutions = 17,600 cm / 125.6 cm
Number of revolutions ≈ 140

Therefore, a cycle wheel of diameter 40 cm would make approximately 140 revolutions to cover a distance of 176 meters.

Conclusion:

In conclusion, to calculate the number of revolutions required for a cycle wheel of diameter 40 cm to cover a distance of 176 meters, we first found the circumference of the wheel using the formula π * diameter. Then, we converted the distance into centimeters and divided it by the circumference to obtain the number of revolutions. The final result indicates that approximately 140 revolutions would be needed to cover the given distance.

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