The number of revolutions made by a bicycle wheel of 28-inch diameter in travelling 1/2 mile is closest to
a.720
b.180
c.360
d.120
Dia. = 28 in. = 2.33 Ft.
1/2 mi. = 5280/2 = 2640 Ft.
1 Rev = pi*2r = 3.14*2.33 = 7.32 Ft.
2640Ft * 1Rev/7.32Ft = 360.6 Rev.
(5280 * 12 / 2) / (π * 28) = ?
Well, let's use some good ol' clown math to figure this out! First, we need to find out how many inches the bicycle wheel covers in 1/2 mile.
Now, we have to know that there are 5,280 feet in a mile, and 12 inches in a foot. So, 1/2 mile is equal to 2,640 feet (5,280 divided by 2), and 2,640 feet is equal to a whopping 31,680 inches (2,640 multiplied by 12).
Remember, the diameter of the bicycle wheel is 28 inches, which means that the circumference (distance around the wheel) is equal to 28 multiplied by π (pi).
Let's assume that π is approximately 3.14, so the circumference of the wheel is roughly 87.92 inches (28 multiplied by 3.14).
Now, to find the number of revolutions made by the wheel, we need to divide the total distance covered (31,680 inches) by the circumference of the wheel (87.92 inches).
Using some more clown math, we find that the number of revolutions made by the wheel is approximately 360 (31,680 divided by 87.92).
So, the closest answer would be c.360!
Now, if you'll excuse me, I have a unicycle juggling performance to prepare for! 🤡
To find the number of revolutions made by a bicycle wheel of 28-inch diameter in traveling 1/2 mile, we need to calculate the circumference of the wheel and divide the distance traveled by the circumference.
Step 1: Calculate the circumference of the wheel.
Circumference = π * diameter
Circumference = 3.14 * 28
Circumference ≈ 87.92 inches
Step 2: Convert the distance traveled to inches.
1/2 mile = 0.5 * 5280 feet (1 mile = 5280 feet)
0.5 * 5280 = 2640 feet
2640 * 12 = 31,680 inches
Step 3: Calculate the number of revolutions.
Number of revolutions = Distance traveled / Circumference
Number of revolutions = 31,680 / 87.92
Number of revolutions ≈ 360
Therefore, the closest answer choice is c. 360.
To find the number of revolutions made by a bicycle wheel in traveling a certain distance, we need to use the formula:
Number of revolutions = Distance / Circumference of the wheel
First, we need to convert the given distance of 1/2 mile into inches. Since there are 5280 feet in a mile and 12 inches in a foot, we can calculate:
Distance in inches = (1/2) * 5280 * 12 = 31,680 inches.
Next, we need to calculate the circumference of the bicycle wheel. The circumference of a circle is given by the formula:
Circumference = 2 * π * Radius
The radius of the wheel is half of its diameter, so the radius of a 28-inch wheel is 14 inches.
Circumference = 2 * 3.14159 * 14 ≈ 87.964 inches.
Now, we can substitute the values into the formula to find the number of revolutions:
Number of revolutions = 31,680 inches / 87.964 inches ≈ 360.
Thus, the number of revolutions made by a bicycle wheel of 28-inch diameter in traveling 1/2 mile is closest to 360.
Therefore, the correct answer is c.360.