An ant sits on a CD at a distance of 17 cm from the center if it sits there for 42 seconds it travels a total distance of 913 cm?

Answer 1

-- First of all, an ant sitting 17 cm from the center of a CD remains placidly at rest,

as the radius of a CD is only 6 cm.

-- His old-fashioned cousin, the country ant, sitting 17 cm from the center

of a vinyl record, travels a total distance of (34 pi) cm in each revolution.

If he travels a total of 913 cm in 42 seconds, then his speed per minute is

(913 cm / 42 sec) x (60 sec / minute) = 1,304.286 cm/minute (rounded)

His angular speed is 1,304.286/(34 pi) = 12.21 Rev Per Minute (rounded)

(Country Ant is sitting on the vinyl record that was used for the Saturday night dance

at the church that ended about an hour ago. In use, the record turned at 78 RPM.

After the dance ended and everyone went home, around 9:30, the Victrola eventually

ran out of gas, as there was no one left to crank it up, and it is now coasting to a stop.

In the next 42 seconds, he will travel somewhat less than 913 cm. He is experiencing

a definite case of αλφα ... angular deceleration ... and will wake up feeling quite unwell

in the morning.)