Question

Help please:
Point P moves with angular velocity "w" on a circle of radius "r". In each case, find the distance "s" traveled by the point in time "t"
w= 10rad/sec, r = 6 ft, t = 2 min

Answer 1

v= w*r

Answer 2

\[2 \min \times\frac{10rad}{1 \sec}\times\frac{1revolution}{2pi rad}\times\frac{12pi feet}{1 revolution}\times\frac{60 \sec}{1 \min}=7200 feet\]

Answer 3

ok hold on let me think ^^!

Answer 4

is there an easier way to do this?

Answer 5

in my book, the angular velocity formula is: w=theta/t (where theta measured in radians)

Answer 6

can i use that formula some how ?

Answer 7

@Mertsj hi ?

Answer 8

Yes you can. I was trying to help you understand why it is what it is.

Answer 9

They gave you the angular velocity when they said w=10 rad/sec

Answer 10

i think i got the answer but im not sure

Answer 11

just plug it in the formulas i guess, to find v then use v=rw which is 6x10=60

Answer 12

then when u got v=60 just multiply that with t=2, 60x2=120

Answer 13

i dont know, cuz there's a similar problem to that in here, but the t is in second

Answer 14

The linear velocity can be found by the formula linear velocity = angular velocity times radius. In your case linear velocity = 10 rad/sec times 6 feet. That would be 60 feet per second. in two minutes, there are 120 seconds so multiply that by 60 feet per second. 60(120)=7200 feet

Answer 15

oh 60x120

Answer 16

so if t=1 minute then i just take 60(60) ?

Answer 17

You have to pay attention to the units, yes. If you have feet in 1 second and you want feet in 1 minute you would multiply by 60

Answer 18

oh i see.. cool :D thanks Mertsj

Answer 19

yw

Answer 20

one more thing..

Answer 21

You must be watching "The Five" That's what they always say at the end of their show.

Answer 22

lol ^^!

Answer 23

Is there anyway that i can graph this using the calculator?
y=cos1/3x ?

Answer 24

in radian btw

Answer 25

I can on mine. Doesn't yours have a setting for radians or degrees?

Answer 26

I have TI-84 and yes it does have radian and degrees

Answer 27

Then enter it like y =cos ((1/3)x)

Answer 28

Otherwise the calculator might think it is 1 over 3x

Answer 29

oh nice

Answer 30

Did it work?

Answer 31

but it look different from the answer

Answer 32

how do i zoom in to fit 1cycle only ?

Answer 33

Define the domain

Answer 34

it look totally different >.<

Answer 35

btw the period of the graph tells when the graph stop/end right ?

Answer 36

The graph goes on and on forever but the period covers 1 complete cycle. In the case of y = cos(1/3)x, the period is 6 pi or 1080 degrees

Answer 37

So you could set your domain from -3pi to 3 pi or from 0 to 6 pi. That would give you a complete cycle.

Answer 38

for all the graphs ? or just this one ?