Answer:
The wheel covered a distance of 77 meters.
Explanation:
To calculate the distance covered by the bicycle wheel, we need to find the total distance traveled when the wheel turned 50 times.
The circumference of the bicycle wheel is given as 15.4 decimetres. We know that the circumference of a circle is calculated using the formula:
C = 2πr
where C is the circumference and r is the radius of the circle. In this case, we can calculate the radius by dividing the circumference by 2π:
r = C / (2π)
Let's calculate the radius:
r = 15.4 dm / (2π) ≈ 15.4 dm / (2 * 3.14159) ≈ 2.453 dm
Now, to find the distance traveled when the wheel turned once, we use the formula:
distance = circumference = 2πr
distance = 2 * 3.14159 * 2.453 dm ≈ 15.4 dm
So, when the wheel turned 50 times, the total distance covered is:
total distance = distance per turn * number of turns
total distance = 15.4 dm * 50 = 770 dm
To convert the distance from decimeters (dm) to meters (m), we divide by 10:
total distance = 770 dm / 10 = 77 m
Therefore, the wheel covered a distance of 77 meters.