Question

Ok, this is quite a big one.. I just need to know what formulas to use for certain parts of the question:

Matty the moth is on a turntable spinning at (2 3/8) rotations in 8 seconds. Bob is 11cm away from the center.
A)Find the angular displacement of Bob.
B)Find the angular velocity in rads per second.
C)Find the distance that Bob traveled in 8 seconds.
D)Find the linear velocity of Bob in cm per second.

Answer 1

I already have the answers, just need the formulas and/or some examples of what to do -- studying.

Answer 2

\[\omega=\theta/t\]
\[l=s/t\]

Answer 3

w is the angular velocity.
l is the linear velocity.
s is the arc length
you can also make another equation for l by using those formula

\[s=\theta r\]

Answer 4

so l is also
\[l=\omega r\]

Answer 5

Thanks for the help

Answer 6

also do not forget to convert revolutions (rev) to radians .
theta should be in radians
you can convert it by multiplying to 2pi

Answer 7

\[\theta=revs \times2\pi rads\]
Correct?

Answer 8

yes, do you know why it is correct ?

Answer 9

1rev = 2πrads

Answer 10

correct :)

Answer 11

I guess i have been paying enough attention in trig haha, thanks again

Answer 12

your'e welcome :)