The distance covered in one revolution is the circumference of the wheel, which is given by the formula C = π d, where d is the diameter. We can use the approximation π = (22)/(7) to find the diameter.

The distance covered in one revolution is the circumference of the wheel, which is given by the formula C = π d, where d is the diameter. We can use the approximation π = (22)/(7) to find the diameter.

By substituting the circumference and the value of π, we calculate the diameter of the wheel to be 70 centimeters.

If a bicycle wheel makes 5000 revolutions in moving 11 km, then the diameter of the wheel is :

Answer: The diameter of the wheel is 70 cm.

Step-by-step solution

Step 1: Convert distance to centimeters

First, we need to convert the total distance covered from kilometers to centimeters to ensure consistent units throughout the calculation. We know that 1 kilometer is equal to 1000 meters, and 1 meter is equal to 100 centimeters.

Step 2: Calculate total distance in centimeters

Multiplying the conversion factors, we find that 11 kilometers is equivalent to 1,100,000 centimeters.

Step 3: Calculate distance covered in one revolution

The distance covered in one revolution of the wheel is equal to its circumference. We can find this by dividing the total distance covered by the total number of revolutions.

Step 4: Simplify distance per revolution

Performing the division, we find that the wheel covers 220 centimeters in one complete revolution.

Step 5: Calculate the diameter

The distance covered in one revolution is the circumference of the wheel, which is given by the formula $C = \pi d$ , where $d$ is the diameter. We can use the approximation $\pi = \frac{22}{7}$ to find the diameter.

Step 6: Solve for diameter

By substituting the circumference and the value of $\pi$ , we calculate the diameter of the wheel to be 70 centimeters.

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