Final answer:
To find the distance the wheelbarrow travels after 16 full rotations, calculate the wheel's circumference using the formula C = 2πr and then multiply by 16. The total distance is 160π inches approximately 50.26 inches.
Step-by-step explanation:
The distance that the wheelbarrow travels after 16 full rotations can be calculated by finding the circumference of the wheel and then multiplying it by the number of rotations.
Step 1: Find the circumference of the wheel.
Since the diameter of the wheel is 10 inches, the radius is 5 inches (half of the diameter). The circumference C of a circle is given by C = 2πr, where r is the radius.
C = 2 π (5 in) = 10π inches
Step 2: Calculate the total distance traveled.
The total distance D the wheelbarrow travels after 16 full rotations is found by multiplying the circumference by the number of rotations.
D = 16 × 10π inches = 160π inches approximately 50.26 inches.