Question

RELATIVE RATE SOMEONE HELP?! 100 POINTS

Answer 1

Explanation:

The light's rotation rate is 3 revolutions per minute.

At the wall which is 11 miles away, 1 complete revolution covers a distance of 2*π*radius = 2*3.14*11 = 69.08 miles.

So the light dot is traveling at 3*69.08 = 207.24 miles per hour.

But the wall is flat - the horizontal projection component is 207.24*sin(π/3) = 179.5 miles per hour

Answer 2

Explanation:

ang vel, ω = 2pi*rpm = 6pi per minute

tangential speed = r*ω where r is radius n in this case is 11 miles

=11*6pi miles per minute

projected horizontal speed on wall = tangential speed * cos Θ

=11*6pi*cos(pi/3)

=103.67 miles per hour