Question

I REALLY NEED HELP!!!!!!!!!!

A truck with 32-in.-diameter wheels is traveling at 60 mi/h. Find the angular speed of
the wheels in rad/min. How many revolutions per minute do the wheels make?

Answer 1

does any1 know how to do this?

Answer 2

?

Answer 3

heheh

Answer 4

u know what i mean

any way do u know how t do this problem?

Answer 5

the truck is going 60 miles per hour

how many inches would that be? well
keep in mind there are 5250 feet in 1 mile, and 12 inches per foot
\(\bf 60\ miles \implies (60 \times 5280) ft = 316800\\
\textit{how many inches? well, }316800 \times 12 = 3801600\\
\textit{so there are 3801600 inches in 60 miles}\)

Answer 6

so the truck is really going at 3801600 miles per hour
well, what's that in minutes? well, there are 60 minutes per hour, so 3801600/60
well, how many is that in seconds? well, since there are 60 secs per minute it'd be THAT AMOUNT divided by 60

Answer 7

wait isnt it 3801600 inches per hr?

Answer 8

ohh shoot, yes, inches per hour indeed

Answer 9

right, we were converting to inches 60 * 5280 * 12

Answer 10

and so, how many inches is the truck going per second?
well \(\bf \cfrac{3801600}{60(mins)} = 63360 \qquad \qquad \cfrac{63360}{60(secs)} = 1056\)

Answer 11

so we can say that the truck is really going at 1056 inches per second

actually we don't need the secs unit, just the minute

Answer 12

so the truck is going at 63360 inches per minute

Answer 13

so we want 63360 in/ min?

Answer 14

is the radians the inches?

Answer 15

so now let's take a peek at the wheel
the diameter is 32 inches long

that means the radius is half that, 16 inches
so we want to know the circumference of the wheel

Answer 16

radians is the angular unit

Answer 17

when asked on "angular speed" all they're really asking is "how many angles per time unit are there"

Answer 18

in this case is just " how many angles per minute is the truck going"

Answer 19

angles per minute?

Answer 20

well, heehhe, radians in this case, but yes, I gather angles might sound more something you may know

Answer 21

ohh i understand

Answer 22

you know what a geometric angle is right? just the opening between two lines

Answer 23

ya

Answer 24

and to get that, we need to know from the point a spot on the whee touches the road and goes around, till the point it gets back again to the same point
that is the circumference