In "Rumpelstiltskin" the millers daughter is spinning straw into gold on a spinning wheel that turns at a speed of 7.5 m/s making one revolution every 0.5 so. How long is a strand of gold that makes one complete turn around the wheel?

Question

anonymous · Answer

$$\omega(which is angular speed)=\left(2pi\div 0.5)$$ which equals 4 pi
so as v=r(omega) then
$$7.5=r(\omega)$$

giving radius as (15div8pi)
then use circumference=2pi(15div8pi)

therefore answer=(15div4)
which equals 3.75m
so length of string equals 3.75m 
Done... :D