perimeter of wheel= 2*pie*15 /12feet
bike moves 55ft per second so distance mov ed by bike in 1 minutes = 55*60
so number of revolution made by wheel in one minutes = 12*55*60/(2*pie*15)
=420.36 rpm
wheel makes 420.36 revolution per second
2006-11-28 06:30:14
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answer #1
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answered by vivek 2
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The bike is moving 55 feet per second, and the tires have a diameter of 30 inches.
The first thing that I would do is find the circumfrence of the tires. Since we know the diameter is 30 inches, we know that the radius is 15 inches.
c = (Ï)(d) = (2)(Ï)(r) --- where c is circumfrence, (Ï) is the constant "pi", d is the diameter, and r is the radius.
Ï â 3.141592654 --- For our purpose, we will use 3.14 for pi...
c = (Ï)(d)
c = (3.14)(30)
c = 94.2 inches
We know that the bike is going 55 feet per second. Since there are 60 seconds in 1 minute, we can say that bike is moving at:
(55)(60) = 3,300 feet per minute.
Now if we convert our circumfrence from inches to feet, we get:
94.2 inches / x feet = 12 inches / 1 foot
12x = 94.2 --- Divide both sides by 12...
x = 7.85 feet
Now, summarizing what we know now:
The circumfrence of the wheels is 7.85 feet.
The bike is moving at 3,300 feet per minute.
Therefore, revolutions per minute can be found by dividing 3,300 by 7.85:
3,300 / 7.85 â 420.38
Answer: The wheels are turning at (approximately) 420.38 revolutions per minute.
2006-11-28 14:56:35
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answer #2
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answered by Anonymous
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The circumference of a circle is given by the formula:
C = pi * d
You have a given diameter of 30 inches or 2.5 feet.
C = 2.5 pi
C â 7.85 ft / revolution
So each revolution is 7.85 ft. and you go 3,300 feet per minute.(55 ft/sec * 60 seconds/min = 3,300 ft/min)
If you divide the total distance (3,300 ft) by the number of feet per revolution (7.85 ft) you'll get the number of revolutions per minute.
Dividing:
3,300 / 7.85 ft. â 420 rpm
2006-11-28 14:42:15
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answer #3
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answered by Puzzling 7
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55/22/7*30/12
55*7*12/22*30
=7 revolutions/sec
=420 rpm
2006-11-28 14:33:57
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answer #4
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answered by raj 7
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calculate the length of the wheel based on the diameter then you will now how many wheels/minute the bike is going
2006-11-28 14:28:40
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answer #5
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answered by Tiguerón 1
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C = pi(30)
f = v/C = [55 ft/s]/[pi(30 in)/(12 in/ft)](60 s/min) ~= 420 rpm
2006-11-28 14:29:17
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answer #6
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answered by jacinablackbox 4
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The tires' circumference is pi*diameter = 94.25 inches. That's how far one revolution takes you.
You can take it from there...
2006-11-28 14:26:58
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answer #7
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answered by Anonymous
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