A certain merry go round has a radius of 5 meters and an angular velocity of 1/4 pi radians per second. A) how long does it take the merry go round to make one complete revolution? B) How many turns does it make in one minute?

I need the equations as well as an explanation

Question

A certain merry go round has a radius of 5 meters and an angular velocity of 1/4 pi radians per second. A) how long does it take the merry go round to make one complete revolution? B) How many turns does it make in one minute? 

I need the equations as well as an explanation

jdoe0001 · Answer

|dw:1395525581732:dw|    so how long do you think it'd take for a complete revolution ?

anonymous · Answer

$$V=r \omega $$
$$C=2\pi r$$
$$V= (5)(\pi/4)$$
V= 3.9 m/s 

V=d/t
$$C=2\pi(5) = 10\pi$$
$$3.9=\frac{ 10\pi }{ x }$$
x=8 seconds

jdoe0001 · Answer

yeap

anonymous · Answer

Is this correct? Is there a simpler way? Maybe using combined equations?

anonymous · Answer

How about part B

jdoe0001 · Answer

part B is just saying
how many revolutions will it do in 60 secs

well, we already know it takes 8secs for 1 revolution, so that'd be simple

anonymous · Answer

ahh I see 7.5 revolutions

jdoe0001 · Answer

yeap