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Answer :
The front wheel makes 9 complete revolutions.
First, we need to convert the diameter of the front wheel from inches to feet:
18 inches = 1.5 feet
The circumference of the front wheel is:
circumference = π × diameter = π × 1.5 feet ≈ 4.71 feet
To find out how many complete revolutions the front wheel makes while traveling 42 feet, we can use the following formula:
number of revolutions = distance traveled / circumference
Plugging in the values, we get:
number of revolutions = 42 feet / 4.71 feet per revolution ≈ 8.92 revolutions
Since the front wheel needs to make complete revolutions, we can round the answer to the nearest whole number:
The front wheel makes 9 complete revolutions.
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To find the number of complete revolutions the bike's front wheel makes, calculate the wheel's circumference using its diameter and then divide the total distance traveled by the wheel's circumference. The front wheel makes approximately 8.91 revolutions.
To determine how many complete revolutions the front wheel of a bike makes when it has traveled 42 feet, first, we need to calculate the circumference of the wheel. The wheel's diameter is given as 18 inches. Since the circumference of a circle is (π d), where (d) is the diameter, we find the circumference:
Circumference = (π × 18 inches
Circumference = (18 × 3.14159 inches
Circumference approx. 56.55 inches
Next, we convert the total distance traveled from feet to inches for easy comparison:
42 feet \\times 12 inches/foot = 504 inches
Then we divide the total distance traveled (in inches) by the circumference of the wheel to find the number of wheel revolutions:
Number of revolutions = Total distance / Circumference
Number of revolutions = 504 inches / 56.55 inches per revolution
Number of revolutions approx. 8.91
Therefore, the front wheel makes about 8.91 complete revolutions when you ride your bike 42 feet.
