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What is the number of revolutions made by the bigger wheel, assuming that each wheel made a complete turn before they stopped.?
2 wheels shown below with centres A and B are 350cm apart. The radius of the big wheel and the radius of the small wheel is 15cm and 5cm respectively. For every 1 complete revolution made by the bigger wheel, the smaller wheel would make 2 complete revolutions. After making a certain number of revolutions, the 2 wheels were 50.6m apart.
1 Answer
- MichaelLv 76 years ago
Circumference
Big wheel
C = 2π15 = 30π
Small wheel
c = 2π5 = 10π
Distance moved per revolution of big wheel
Big Wheel
D = 30π
Small Wheel
d = 2 * 10π = 20π
Since the small wheel moves less that the large wheel they will never be 50.6 cm apart if the starting position is 350 cm apart as shown
•Assuming the wheels started in the same location
The distance they move apart per revolution of the big wheel is
x = 30π - 20π = 10π
Revolutions of large wheel to be 50.6 apart
r = 50.6 / (10π)
r = 1.61
1.61 revolution <-----
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Correction for 50.6m
Additional distance
d = 50.6 * 100 - 350 = 4710
Revolutions to be 50.6m apart
r = 4710/(10π)
r = 149.9 <-----
