Question

An object moves in uniform circular motion at 25 m/s and takes 1.0 second to go a quarter circle. What is the radius of the circle ? helpppppp me

Answer 1

If it takes 1 second to go a quarter circle, it takes 4 seconds to go the whole circle.
The circumference of the circle is the distance traveled, so that's \(2\pi r\).

\[v=\frac{2\pi r}{T}\]
where v = 25 m/s and T = 4.0 s
Solve for r

Answer 2

heres the thing i know that it takes 4 second to go the whole circle and i know thats the formula but idk how to plug them i keep getting wrong numbers :(

Answer 3

@peachpi

Answer 4

put up what you have so I can see what you're doing

Answer 5

4x25 =100 for a whole circle

Answer 6

idk im lost

Answer 7

(2xpix4)/1 ??

Answer 8

v is the velocity, so plug in 25 for v
T is the time, that's 4
You should have this.\[25=\frac{ 2\pi r }{ 4 }\]

Answer 9

r is what you're solving for

Answer 10

so multiply both sides by 4 to get
\(100=2\pi r\)

Answer 11

Now divide both sides by \(2\pi\) and let me know what you get

Answer 12

i got 0.062

Answer 13

oh no
i mean 157.07

Answer 14

I got 15.9

Answer 15

see 0.06 is one of my answers but 157.07 is not and that what i had gotton before you come to help me

Answer 16

Is that one of your answers?

Answer 17

how you got 15.9 ?

Answer 18

I have 16 in my answers i just need know how you got it so i would do it myself next time please

Answer 19

multiply 2π first then divide 100 by that
100/(2π) = 100/6.28 = 15.9

Answer 20

yeah it would be 16 to 2 sig figs

Answer 21

oh thats explains it yeah i put them all together in the calc and thats why it gave me 157
THANK you so MUCH

Answer 22

you're welcome.