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OpenStudy (18jonea):

Two bugs are sitting on a turntable, going around with the record at 33 1/3 RPM. One bug sits 3.390 x 10^-2 m from the point of rotation; the other sits 2.540 x 10^-2 m meters from the point of rotation. If the first bug has a tangential speed of 7.5 cm/s, what is the rotational speed of the second bug?

OpenStudy (18jonea):

@harman.singh

OpenStudy (518nad):

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OpenStudy (18jonea):

can you give me an equation that i can do please?

OpenStudy (518nad):

:( forget this equation pls

OpenStudy (18jonea):

what equation?

OpenStudy (518nad):

whatever he's giving u

OpenStudy (518nad):

you know about circles, and its perimeter right, thats all u need to know

OpenStudy (18jonea):

ok well can you give me an equation please if his isnt right

OpenStudy (518nad):

his equation is right, nothing wrong with it

OpenStudy (518nad):

I just want you to understand the basics here

OpenStudy (518nad):

okay so 7.5 cm/s is the speed of the bug, in 1 minute, we've rotated 33+1/3 times right

OpenStudy (18jonea):

right

OpenStudy (518nad):

so that means uve gone around the circle or the perimeter of that circle wher the bug is at a total of 33+1/3 times

OpenStudy (518nad):

now if u go 7.5 cm /s how many cm is that in 60 secs aka a min

OpenStudy (18jonea):

450

OpenStudy (518nad):

right

OpenStudy (518nad):

anyway this is just me trying to make u think about whats going on here

OpenStudy (518nad):

now lets look at the 2nd bug

OpenStudy (518nad):

2.540 x 10^-2 m, so how much perimeter is that for 33 +1/3 rotations

OpenStudy (518nad):

radius is 2.540 x 10^-2 m, what is the total perimeter in 33+1/3 rotations?

OpenStudy (18jonea):

254

OpenStudy (518nad):

k the distances are different as u can see so the tangential speed is different

OpenStudy (518nad):

how about rotation? rotation is how much angle has changed about the point of rotation

OpenStudy (518nad):

rev/second is a rotational speed

OpenStudy (518nad):

we started with 33rev/min , and thats the same at all radius away

OpenStudy (518nad):

so how many rev is that in 1 sec

OpenStudy (18jonea):

.55

OpenStudy (518nad):

yeah

OpenStudy (518nad):

thats all there is to it

OpenStudy (518nad):

im guessing ur questions continues to ask about the bugs tangential speeds and stuff next?

OpenStudy (18jonea):

ok so what would the answer though 44.4 RPM 25 RPM 33 1/3 RPM 66 2/3 RPM c? and yes that is the next question

OpenStudy (518nad):

33 1/3 RPM

OpenStudy (518nad):

the rotational speed has not changed

OpenStudy (518nad):

its the tangential speed that changes

OpenStudy (18jonea):

ok can you help me with this one? Two bugs are sitting on a turntable, going around with the record at 33 1/3 RPM. One bug sits 3.390 x 10^-2 m from the point of rotation; the other sits 2.540 x 10^-2 m meters from the point of rotation. If the first bug has a tangential speed of 7.5 cm/s, what is the tangential speed of the second bug? 16.00 cm/s 5.625 cm/s 3.750 cm/s 10.01 cm/s

OpenStudy (518nad):

you should be able to do this now

OpenStudy (518nad):

we found the perimeter it was travelling in total in that min remember

OpenStudy (18jonea):

254?

OpenStudy (518nad):

let me see

OpenStudy (518nad):

2pi*R = ? tell me right units

OpenStudy (18jonea):

wait what is the radius again

OpenStudy (518nad):

2.540 x 10^-2 m

OpenStudy (18jonea):

ok 254 times (2 pi)=1595.12

OpenStudy (518nad):

units?

OpenStudy (18jonea):

im not sure

OpenStudy (518nad):

centimeters..

OpenStudy (18jonea):

oh ok so 1595.12 cm

OpenStudy (518nad):

does it make sense why its centimeter?

OpenStudy (18jonea):

yes

OpenStudy (518nad):

circumference is the perimeter but ok

OpenStudy (18jonea):

yes sorry

OpenStudy (518nad):

a circle has 2pi the proportion of the radius

OpenStudy (518nad):

now that is the perimeter for 1 revolution right

OpenStudy (518nad):

how many revolutions are we travelling here for 1 second

OpenStudy (518nad):

from your rotational speed

OpenStudy (518nad):

you found this earlier too

OpenStudy (18jonea):

33 1/3rpm

OpenStudy (518nad):

what does rpm stand for

OpenStudy (18jonea):

rotations per minute

OpenStudy (518nad):

okay so how many rotations per sec is this

OpenStudy (18jonea):

.55

OpenStudy (518nad):

right keep units pls

OpenStudy (18jonea):

rps

OpenStudy (518nad):

0.55 rotations per sec

OpenStudy (518nad):

now so how much length is this for us

OpenStudy (518nad):

1 rotation we saw was 1595.12 cm

OpenStudy (518nad):

0.55 rotation =?

OpenStudy (18jonea):

1 second

OpenStudy (518nad):

what length is int 0.55 rotation

OpenStudy (518nad):

1 rot = 1595.12 cm 0.55 rot = ________ cm

OpenStudy (18jonea):

877.316 cm

OpenStudy (518nad):

yes

OpenStudy (518nad):

since we went 0.55 rot in 1 sec We also went 877.316 cm in 1 sec

OpenStudy (518nad):

and the heck that makes no sense--.- they messed up some numbers or something

OpenStudy (18jonea):

ok so what would the answer be out of these choices 16.00 cm/s 5.625 cm/s 3.750 cm/s 10.01 cm/s

OpenStudy (518nad):

Two bugs are sitting on a turntable, going around with the record at 33 1/3 RPM. One bug sits 3.390 x 10^-2 m from the point of rotation; the other sits 2.540 x 10^-2 m meters from the point of rotation. If the first bug has a tangential speed of 7.5 cm/s, what is the tangential speed of the second bug?

OpenStudy (518nad):

well i wasnt gonna go straight to this but, evnetually u wud have found out that really all that matters is the proportion of the radius here

OpenStudy (518nad):

2.54/3.39 * 7.5=?

OpenStudy (18jonea):

5.619cm/s?

OpenStudy (518nad):

nothign is wrong, the radius is 2.54 cm not 254 cm

OpenStudy (518nad):

but yes

OpenStudy (18jonea):

so the closest is 5.625 cm/s

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