The distance covered by a circular wheel of diameter d in 100 revoluti...
Distance covered by a circular wheel of diameter d in 100 revolution
A circular wheel is a common object in our daily life. It is a basic component of various machines like vehicles, bicycles, etc. The distance covered by a circular wheel depends on its diameter and the number of revolutions it makes. In this article, we will discuss the distance covered by a circular wheel of diameter d in 100 revolutions.
Formula to Calculate Distance Covered by a Circular Wheel
The distance covered by a circular wheel in one revolution can be calculated by the formula:
Distance covered in one revolution (d) = πd
where π is the mathematical constant with an approximate value of 3.14 and d is the diameter of the circular wheel.
Calculation of Distance Covered by a Circular Wheel in 100 Revolutions
The distance covered by a circular wheel of diameter d in 100 revolutions can be calculated by the formula:
Distance covered in 100 revolutions = (πd) x 100
Let us consider an example to understand this formula:
Example: A circular wheel has a diameter of 20 cm. Calculate the distance covered by the wheel in 100 revolutions.
Solution:
Given, diameter of the circular wheel (d) = 20 cm
Distance covered in one revolution (πd) = π x 20 = 62.8 cm
Distance covered in 100 revolutions = (πd) x 100 = 62.8 x 100 = 6280 cm
Therefore, the distance covered by the circular wheel of diameter 20 cm in 100 revolutions is 6280 cm.
Conclusion
The distance covered by a circular wheel of diameter d in 100 revolutions can be calculated by using the formula (πd) x 100. This formula is useful in calculating the distance covered by circular wheels in various machines.