Final answer:
The distance a wheelbarrow with a 10-inch diameter wheel travels after 5 rotations is approximately 157.08 inches. This calculation is determined by first finding the circumference of the wheel and then multiplying it by the number of rotations.
Step-by-step explanation:
The subject of this question is Mathematics, and it is at the Middle School level. To find the distance a wheelbarrow travels after 5 rotations of a wheel with a diameter of 10 inches, we need to calculate the circumference of the wheel and then multiply that by the number of rotations. The circumference (C) of a circle is calculated using the formula C = πd, where d is the diameter of the wheel and π is approximately 3.1416.
First, we calculate the circumference of the wheel:
C = π × 10 in = 31.416 in (approximately).
Next, we determine the distance traveled after 5 rotations:
Distance = 5 × circumference = 5 × 31.416 in = 157.08 in.
Therefore, the wheelbarrow travels approximately 157.08 inches after 5 rotations of the wheel.