Kiley's in-line skate wheels have a 43-mm diameter. How many meters will Kiley travel after 5,000 revolutions of the wheels on her in-line skates? Round your answer to the nearest tenth of a meter.
C = pi * d
C = 3.14 * 43
C = 135.02 mm
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5,000 * 135.02 = 675,100 mm
675,100 / 1000 = ______ m
0.6751
To find the total distance traveled, we need to calculate the circumference of the wheel.
1. Calculate the circumference of the wheel:
Circumference of a circle = 2 * π * radius
Given that the diameter is 43 mm, we can calculate the radius:
Radius = diameter / 2 = 43 mm / 2 = 21.5 mm
Convert the radius from millimeters to meters:
Radius = 21.5 mm / 1000 = 0.0215 m
Calculate the circumference using the formula:
Circumference = 2 * π * 0.0215 m = 0.1352 m
2. Calculate the total distance traveled:
Total distance = circumference * number of revolutions
Given that Kiley completes 5,000 revolutions:
Total distance = 0.1352 m * 5,000 = 676 meters
Therefore, Kiley will travel approximately 676 meters after 5,000 revolutions of the in-line skate wheels.
To find the distance Kiley will travel, we need to calculate the circumference of the wheels and then multiply it by the number of revolutions.
The circumference of a circle can be calculated using the formula:
Circumference = 2 * π * radius
Given that the diameter of Kiley's in-line skate wheels is 43 mm, the radius can be calculated by dividing the diameter by 2:
Radius = 43 mm / 2 = 21.5 mm
Now we need to convert the radius to meters since the final answer requires the result in meters.
1 meter = 1000 mm, so to convert mm to meters, we divide by 1000:
Radius = 21.5 mm / 1000 = 0.0215 meters
Now we can calculate the circumference:
Circumference = 2 * π * 0.0215
Circumference ≈ 0.1351 meters
After finding the circumference, we can multiply it by the number of revolutions:
Distance = Circumference * number of revolutions
Distance = 0.1351 * 5000
Distance ≈ 675.5 meters
Therefore, Kiley will travel approximately 675.5 meters after 5,000 revolutions of the wheels on her in-line skates. Rounded to the nearest tenth of a meter, the answer is 675.5 meters.