find the revolutions of a bicycle wheel of diameter 0.8m when the bike goes a distance of 25m down the street.
Each revolution the wheel turns moves the bike forward by pi*D = 2.51 meters
(unless the wheel is skidding).
To go 25 meters, the number of wheel turns is therefore
25/(pi*D) = 9.95
To find the number of revolutions of a bicycle wheel when the bike travels a certain distance, you need to use the formula:
Number of revolutions = Distance traveled ÷ Circumference of the wheel
The circumference of a circle can be calculated using the formula:
Circumference = π × Diameter
In this case, the diameter of the bicycle wheel is given as 0.8m, so the circumference would be:
Circumference = π × 0.8m
Using the value of π (pi) as approximately 3.14, the circumference would be:
Circumference = 3.14 × 0.8m
Now, let's calculate the circumference:
Circumference = 2.512m (rounded to three decimal places)
With the circumference calculated, you can now find the number of wheel revolutions:
Number of revolutions = 25m ÷ 2.512m
Number of revolutions ≈ 9.953 (rounded to three decimal places)
Therefore, the bicycle wheel will complete approximately 9.953 revolutions when the bike goes a distance of 25m down the street.