Solution of a bicycle wheel with diameter of 65cm, during the journey the wheel makes 1000 complete revolution.how many meters does the bicycle travel
1 rotation would be 1 circumference of the wheel
1 rot. = πd = 65π cm
so 1000. rot = 65000π cm = 650π metres or appr 2042 metres
To find out how many meters the bicycle travels, we need to calculate the distance covered by the wheel for 1000 complete revolutions.
First, let's calculate the circumference of the bicycle wheel. The circumference is equal to the distance traveled in one revolution. The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.
Given the diameter of the wheel is 65 cm, we can substitute this value in the formula:
C = π * 65 cm
The value of π (pi) is approximately 3.14. Therefore:
C = 3.14 * 65 cm
= 204.1 cm
Now, we know that the wheel travels a total of 1000 complete revolutions. So, to find the distance traveled by the bicycle, we need to multiply the circumference by the number of revolutions:
Distance traveled = Circumference * Number of revolutions
= 204.1 cm * 1000
After evaluating this expression, we get:
Distance traveled = 204,100 cm
However, it is more convenient to express the answer in meters. To do that, we need to convert centimeters to meters. There are 100 centimeters in 1 meter, so:
Distance traveled = 204,100 cm / 100
= 2,041 meters
Therefore, the bicycle travels a total of 2,041 meters during the journey.