David is riding on a flying carousel which swings him in circles of radius r=4.0r=4.0m, at a height of h=6h=6 m above the ground. the carousel rotates counterclockwise once every 5 sec.
when he is on the west side of the carousel, david's hat falls off.

where does the hat land (relative to the point where it fell off)?

5.55935324 m

Explanation:

r = Radius = 4 m

h = Height = 6 m

Frequency is

Angular speed is given by

Tangential velocity of the hat is given by

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

g = Acceleration due to gravity = 9.81 m/s²

From equation of motion

Distance = Speed×Time

The hat will land 5.55935324 m away from the point of release

since you're a real machine, your ama is always less than your ima, because you can never totally eliminate friction.

i don't know that i agree with that but what's the question ?