A vehicle has wheels which are 3.40 feet in diameter. If the vehicle travels on these wheels at a constant rate of 60 mph, then, correct to the nearest whole revolution, how many revolutions does any one wheel make in one minute?
2006-09-01 10:05:39 · 14 answers · asked by Olivia 4 in Education & Reference ➔ Homework Help
Circumfrence: distance around the outside of the tire:
C=2*(PIE)*R or C=(PIE)*D
Where R=radius, C=circumfrence, D=diameter
You need the distance traveled in one minute, divided by the distance around the tire ( circumfrence). This would be equal to the revoloutions.
Distance = Rate * time = (60 miles/Hour)* 60 seconds
Distance/Cirumfrence=revolutions
So: D=R*T=(60miles/hour)*( 1 minute).
but the units dont quite match, hours and minutes, so use
a conversion 1hr = 60 minutes. multiply by( 1hr/60minutes)
D=R*T=(60miles/hour)*( 1 hour/60minutes)* (1 minute)=
The units of hour and minutes both cancle out, as they appear on the top and the bottom. This leaves units of miles.
The 60 on the top and bottom also cancle out.
So: D=R*T=(60mi/hr)*(1hr/60min) * 1min= 1 mile.
this makes sense as 60 miles per hour, for only 1 minute is 1 mile. a mile per minute.
Now the Circumfrence C=(PIE)*D=3.1415*3.4ft=10.681ft
So the distance traveled in one minute divided by the tire circumfrence of 1 mile would be your answer.
1 mile can be converted into feet. 1 mile=5280ft.
So multiply the 1 mile * (5280ft/mile)= 5280ft.
So: 5280ft/10.681ft=revolutions=494.335 revolutions.
Note the units of feet cancle.
To the nearest revolution is 494 revolutions.
Austin Semiconductor
2006-09-01 10:11:19 · answer #1 · answered by Austin Semiconductor 5 · 0⤊ 0⤋
Any one wheel makes just as many as all the other wheels.
Or a little more than 494 (60 mph is 1 mile a minute, not too hard to figure out).
2006-09-01 17:26:03 · answer #2 · answered by Anonymous · 1⤊ 0⤋
You can do the math but to figure it out...
Figure out the distance the car will go in 1 min.
Calculate the circumference of the wheel using the diameter
Divide the distance by the circumference of the wheel
This will tell you how many revolutions.
Always try to break a problem like this down into parts before starting to solve. This will make it easier.
2006-09-01 17:25:21 · answer #3 · answered by jdomanico 4 · 0⤊ 0⤋
The circumference of the wheel is 2 X pi X r which equals about 10.7 feet. The distance of travel is one mile at 60 miles per hour or one mile per minute. Or, 5,280 ft. So, divide the distance to travel by the circumference of the wheel to find the number of times the wheel has to spin totally around to cover the distance. So, around 493 or 494. I leave it to you to refine the numbers.
2006-09-01 17:18:36 · answer #4 · answered by Monica M 2 · 2⤊ 0⤋
Find circonference of wheel= diameter x 3.1416
Find how may miles per minute= miles per hour / by 60
Find how many revolutions per minute= 5280 feet / circonference of the wheel.
I think!
2006-09-01 17:17:18 · answer #5 · answered by Anonymous · 0⤊ 0⤋
find out the number of feet in 1 mile and divide it by the 3.4 feet, then round your answer
2006-09-01 17:12:33 · answer #6 · answered by bluewonder 2 · 1⤊ 0⤋
about 2,000 revolutions in a minute
2006-09-01 17:14:25 · answer #7 · answered by tommiesonn 2 · 0⤊ 0⤋
Can't work that one out without knowing the driver's name
2006-09-01 17:08:08 · answer #8 · answered by Anonymous · 0⤊ 1⤋
I think it might be 247
2006-09-01 17:36:37 · answer #9 · answered by popgoestheweasel 4 · 0⤊ 0⤋
there should be a formula in your book for that, perhaps you need to convert 60mph to minutes?
2006-09-01 17:13:22 · answer #10 · answered by greenoreo14 1 · 0⤊ 0⤋