A bicycle wheel has a diameter of 65cm paring a journey, the wheel makes 1000 complete revolutions
.how many metres does the bicycle travel
,Use the value 3.14 for r.
the circumference of the wheel is ... π d
for each revolution of the wheel , the bicycle travels one circumference
total travel (in metres) ... 3.14 * .65 * 1000
answer
What is the answer
To find out how many meters the bicycle travels, we need to first calculate the circumference of the wheel and then multiply it by the number of revolutions.
The formula for the circumference of a circle is given by:
C = 2πr
Given that the diameter of the bicycle wheel is 65 cm, we can calculate the radius (r) by dividing the diameter by 2:
r = diameter / 2 = 65 cm / 2 = 32.5 cm
Now, converting the radius to meters:
r (in meters) = 32.5 cm / 100 = 0.325 m (using 1 meter = 100 centimeters)
Substituting the value of r into the circumference formula:
C = 2π(0.325)
Using the value of π = 3.14:
C ≈ 2 × 3.14 × 0.325
Now, calculating the circumference:
C ≈ 2.0285 meters
To find the distance traveled, we multiply the circumference by the number of complete revolutions:
Distance = C × number of revolutions = 2.0285 meters × 1000 revolutions
Finally, calculating the distance traveled by the bicycle:
Distance = 2028.5 meters
Hence, the bicycle travels approximately 2028.5 meters.