9.55 revolutions
Chat with our AI personalities
That would depend upon the size of the tire. My car has tires that are about 221/4" in diameter which means they have circumference: circumference = π x diameter ≈69.9" which is the distance travelled in one complete revolution of the tire. 1 mile = 63360 in ⇒ revolutions = 1 mile ÷ circumference_of_tire ≈ 63360 in ÷ 69.9 in ≈ 906.43 revolutions per mile My bicycle has tires that are about 271/2" in diameter meaning the number of revolutions is: revolutions ≈ 63360 in ÷ (π x 271/2 in) ≈ 733.39 revolutions per mile
6 i think
A scale drawing.
The number of revolutions will be equal to the distance of the trip divided by the circumference of the wheel. We're already given the trip distance, and the circumference can be worked out from the radius we're given. Recall: the circumference of a circle is equal to pi multiplied by twice it's radius; or more formally:c = 2πrIn this case, r is equal to 28cm, so we can say:c = 2π28cm≈ 2 × 3.14159265 × 28cm≈ 175.929cmNow we can take the distance of the trip, 3km, and divide it by the circumference of the wheel, 175.929 centimeters. That will give us the number of revolutions for the wheel:R ≈ 3km / 175.929cmWe will of course have to convert the units first. There are one hundred thousand centimeters in a kilometer, so we can say:R ≈ 300000cm / 175.929cm∴ R ≈ 1705.232That gives us the number of revolutions that would be required, but the question asks how many complete revolutions are needed. This means the last 0.232 revolutions would not be part of our final answer. Instead we can say:R = 1705So the wheel must do one thousand, seven hundred and five complete revolutions for a three kilometer journey.
Oh, dude, the second hand on a clock makes a full revolution every minute. So, in an hour, it would make 60 revolutions. But hey, who's really counting, right? Just watch it go round and round, like time slipping away while you're stuck in a never-ending cycle of existential dread. Enjoy!