mountain bike wheel has diameter of 40 inches , in how many turns will the bike be able to cover 1 km?
note :
circumference of circle = pi ((radius)^2)
radius = diameter/2
The formula is C = pi * d
40 inches = 101.6 cm = 1.016 m
C = 3.14 * 1.016
c = 3.19024 m
1000 / 3.19024 = ________ turns
K THANKS , BUT WHY YOU divide 1000 /3.19024
You need to know how many turns the wheel made in 1 kilometer
1 km = 1000 m
Thanks alot for you :)
You are very welcome.
To find out how many turns a mountain bike wheel with a diameter of 40 inches would require to cover a distance of 1 km, we need to compute the circumference of the wheel first.
Given that the radius of the wheel is half the diameter (40 inches), the radius would be 40/2 = 20 inches.
To calculate the circumference of the wheel, we use the formula:
Circumference = 2 * π * Radius.
Substituting the known values, we get:
Circumference = 2 * π * 20 inches.
Next, we need to convert the circumference from inches to kilometers, as we have to cover 1 km. As there are 2.54 cm in an inch and 100 cm in a meter, and 1000 meters in a kilometer, the conversion factor is:
(2.54 cm/inch) * (1 m/100 cm) * (1 km/1000 m) = 0.0000254 km/inch.
Multiplying the circumference by the conversion factor, we get:
Circumference (in km) = (2 * π * 20 inches) * (0.0000254 km/inch).
Now, we can calculate the number of turns needed to cover 1 km by dividing 1 km by the circumference in kilometers:
Number of turns = 1 km / Circumference (in km).
Substituting the calculated circumference value, we get:
Number of turns = 1 km / [(2 * π * 20 inches) * (0.0000254 km/inch)].
By evaluating this expression, we can determine the number of turns a mountain bike wheel with a diameter of 40 inches would need to cover a distance of 1 km.