If a merry go round makes one revolution every 15 seconds, how far from the center does a person have to stand in order to travel at a linear speed of 5m/second.
Let w=angular velocity
v=linear velocity
r=radius of circle
1 revolution=2pi radian
therfor
w=2pi/15 rad/s
NOTE:v=wr
r=v/w
since v=5m/s
therfor r=(5X15)/2pi
r=(75x7)/(2x22)=11.93=12m
hence the person will have to stand at a distance of 12m(approx) from the centre