To determine the distance covered by a wheel in 5 revolutions, follow these steps:
1. Determine the radius of the wheel: The radius given is 0.14 meters.
2. Calculate the circumference of the wheel:
The circumference \(C\) of a wheel can be calculated using the formula:
[tex]\[
C = 2 \pi r
\][/tex]
where \(r\) is the radius of the wheel.
Plugging in the value of the radius:
[tex]\[
C = 2 \pi (0.14)
\][/tex]
The calculated circumference is approximately \(0.8796459430051422\) meters.
3. Calculate the distance covered in 5 revolutions:
The distance covered \(D\) in \(n\) revolutions is given by:
[tex]\[
D = n \times C
\][/tex]
Here, \(n\) is 5 revolutions:
[tex]\[
D = 5 \times 0.8796459430051422
\][/tex]
The distance covered in 5 revolutions is approximately \(4.398229715025711\) meters.
4. Convert the distance from meters to centimeters:
Since \(1\) meter is equal to \(100\) centimeters:
[tex]\[
D_{\text{cm}} = 4.398229715025711 \times 100
\][/tex]
Converting the distance into centimeters, we get approximately \(439.82297150257114\) centimeters.
Therefore, the distance covered by the wheel in 5 revolutions is approximately \(440\) cm.
Thus, the correct answer is:
d. 440 cm
