A bicycle with 26inch diameter wheels is travelingat 10 mph. To the nearest whole number
how may revolutions does each wheel make per minute?
C = pi*D = 3.14*26 = 81.68 in.=6.81 Ft.
= Circumference.
10mi/h*5280Ft/mi*1rev/6.81Ft*1h/60min =
129.2 Rev/min.
Well, let's do some math with a humorous twist, shall we? So, we have a bicycle with 26-inch diameter wheels travelling at 10 mph? Let's see...
First, we need to find the circumference of each wheel. Using the formula C = πd (circumference equals pi times diameter), we can calculate it as follows:
C = 3.14 x 26 inches
C ≈ 81.64 inches
Now, we need to convert mph to inches per minute because it's conversion party time! And let's not forget that there are 60 minutes in an hour:
10 mph = 10 x 5280 feet per hour
10 x 5280 = 52,800 feet per hour
52,800 feet per hour = 52,800 x 12 inches per hour
52,800 x 12 = 633,600 inches per hour
And finally, we divide the inches per hour by 60 to get inches per minute:
633,600 inches per hour ÷ 60 = 10,560 inches per minute
Now, let's put it all together: in one minute, each wheel of the bicycle makes approximately 10,560 ÷ 81.64 revolutions. So, to the nearest whole number, each wheel makes about 129 revolutions per minute.
That's a lot of spinning! Keep those wheels turning like a mixtape DJ at a circus party!
To find the number of revolutions per minute, we need to determine the distance traveled by the bicycle in one minute and divide it by the circumference of the wheel.
Step 1: Convert the speed from miles per hour to inches per minute:
10 mph = 10 * 5280 feet per hour = 52,800 feet per hour
52,800 feet per hour = 52,800 * 12 inches per hour = 633,600 inches per hour
633,600 inches per hour = 633,600 inches / 60 minutes = 10,560 inches per minute
Step 2: Calculate the circumference of the wheel:
The diameter of the wheel is given as 26 inches, so the radius is 26/2 = 13 inches.
The circumference of a circle is given by the formula: circumference = 2 * π * radius
Substituting the values: circumference = 2 * 3.14 * 13 = 81.64 inches (approx)
Step 3: Calculate the number of revolutions per minute:
Number of revolutions per minute = Distance traveled in one minute / Circumference of the wheel
Number of revolutions per minute = 10,560 inches / 81.64 inches
Number of revolutions per minute ≈ 129 revolutions (to the nearest whole number)
Therefore, each wheel makes approximately 129 revolutions per minute.
To find the number of revolutions per minute (RPM) of a bicycle wheel, we need to use the formula:
RPM = (Speed in miles per hour) / (Wheel circumference in miles)
First, let's convert the speed of 10 mph to miles per minute by dividing it by 60 (since there are 60 minutes in an hour):
Speed in miles per minute = 10 mph / 60 = 0.1667 miles per minute (rounded to 4 decimal places)
To find the wheel circumference in miles, we need to convert the diameter of the wheel (26 inches) to miles. First, we need to convert inches to miles by dividing by 12 (since there are 12 inches in a foot) and then dividing by 5280 (since there are 5280 feet in a mile):
Wheel circumference in miles = (26 inches / 12) / 5280 = 0.0004087 miles (rounded to 7 decimal places)
Now, we can calculate the RPM by dividing the speed in miles per minute by the wheel circumference in miles:
RPM = 0.1667 miles per minute / 0.0004087 miles = 407.6 revolutions per minute (rounded to the nearest whole number)
Therefore, each wheel of the bicycle makes approximately 408 revolutions per minute.