Question

how long would it take the voyager, traveling at warp 8, to cross the entire radius of the milky way?

Answer 1

the radius of the milky way is 2.94 x 10^17 miles

Answer 2

Warp 8 = 1024c = 186,000*1024 = 190,464,000 miles per second.

Speed = Distance/time

190,464,000 = 2.94 x 10^17/x

You should be able to take it from there. x = time in seconds.

Answer 3

where did you get the 186,000?

Answer 4

It's the speed of light in miles/sec

Answer 5

It's 186,282.397 miles/second to be exact, but mostly it's rounded to 186,000 for ease of use.

Answer 6

That's meters per second. It's the same speed, just in a different unit. If you converted one number to the other (i.e. meters to miles or miles to meters) you would find them equivalent.

Answer 7

It would also work just as well. Instead of substituting C = 186,000 miles/second, you would substitute C = 299,792, 458 meters/second. You'd still get the same time (as long as you remember to convert your galaxy radius distance to meters as well. You always must work in the same unit!).

Answer 8

I got 1.019702238*10^25, is that correct?

Answer 9

It depends on which calculation you did. Did you use meters or miles for the distance?

Answer 10

meters

Answer 11

it also says on the worksheet that warp 8 = 8*the speed of light

Answer 12

Well, in that case, replace the "1024" with "8" and then tell your teacher that Warp 8 in real Star Trek isn't 8x the speed of light, it's 1024x :P

Answer 13

so would i do 186,282.397 miles/seconds * 8? and then divide by 2.94*10^17?

Answer 14

okay and will do:)

Answer 15

Speed = Distance/time. To find time, we do Time = Distance/Speed

Answer 16

So if you're going to work in miles, you would do 186,282.397 * 8 to get your speed at Warp 8 in miles/second.

Your distance is a given. Just plug it in after that.

If you're going to work in meters, it would be 299,792,458 * 8 to get your speed at Warp 8 in meters/second. Then you would have to convert the distance from miles to meters (hint: there are 1609.34 meters in a mile), then plug in.

Doing it either way should give you the same answer.

Answer 17

so it would be 8*186,282,397=1790259176m/s, which is the distance and dividing it by time would mean dividing 1790259176m/s by 2.94*10^17=6.089316925*10^25?

Answer 18

The 8*186,282.397 (be careful, it's not one hundred and eight six million, it's one hundred and eighty six thousand. There is only one comma, the other mark is a decimal point) is your speed, not distance. The distance is the given, the radius of the Milky Way Galaxy. Time is your unknown, that's what you're looking for.

Answer 19

never mind i figured it out! thanks for your help!!!!!!

Answer 20

just to make sure the answer is 5.068908762*10^22 seconds?

Answer 21

No, that's not what I got. If you write out your calculations, I can show you where you're going wrong.

Answer 22

okay,
8.186,282.397*8=1490259.176m/s
t=d/s
t=2.94*10^17miles/1490259.176m/s=1.972811204*10^11

Answer 23

Yep, that's what I got. That is the correct answer for how many seconds it would take.

Answer 24

so if the question says how long would it take the voyager, traveling at warp 8, to cross the entire radius of the milky way? 1.972811204*10^11 this would be a correct answer?

Answer 25

Don't forget your units! 1.972811204*10^11 SECONDS. Yes, that is the correct answer.

Answer 26

thats what i meant but yeah thank you once again for your help!!!!!!!!!!!

Answer 27

No problem. Anytime.