If a bicycle wheel has traveled f/π feet after n complete revolutions, what is the length in feet of the diameter of the bicycle wheel?
A. f/nπ^2
B. π^2/fn
C. nf/π^2
D. nf/π^2
E. f/n
thanks reiny
(F/pi) feet......in N rotation
?.............in 1 rotation
(F/ pi × N)feet
C= 2pi r
(F/ pi × N) = 2pi r
r = ( F/ 2(pi^2)N)
Answer....Dia = F/(pi N^2)
I need help on this too lol
Emily's bicycle wheel has a diameter of 18 inches.
If the wheel makes 20 revolutions, approximately how far will the bicycle have traveled?
To find the length in feet of the diameter of a bicycle wheel, we need to understand the relationship between distance traveled, number of revolutions, and the diameter of the wheel.
In one revolution, the circumference of a circle (which represents the path traveled by a point on the rim of the wheel) is equal to the diameter of the circle multiplied by π (π is approximately 3.14159).
Therefore, the distance traveled in one revolution is given by the formula: distance = circumference = diameter × π.
We are given that the wheel has traveled f/π feet after n complete revolutions. This means that the total distance traveled is f/π times the number of revolutions.
To find the length of the diameter, we need to divide the total distance traveled by the number of revolutions.
Length of diameter = Total distance traveled / Number of revolutions
Length of diameter = (f/π) / n
Simplifying, we can write the length of the diameter as:
Length of diameter = f / (nπ)
Comparing this equation to the answer choices, we can see that the correct answer is option C. nf/π^2.
n rotations = f/π ft
1 rotation = fπ/n ft
2πr = fπ/n
r = f/(2n) ft
diameter = 2r = f/n ft