Answer:
904.9 feet per minute
Step-by-step explanation:
The Angular distance can be calculated using below expression
S= r θ ..............eqn(1)
Where
θ = angular distance travelled
r= Radius= radius of 18 feet
But angular distance can also be expressed as
θ = wt...................eqn(2)
w= angular speed= 8 rev per minute= (8 × 2π)
t= time
Velocity can also be expressed as
V= s/t............eqn(3)
Where
V= velocity
s= distance
t= time
Substitute eqn(2) into eqn(3)
V=( r θ)/ t................eqn(4)
Substitute eqn(2) into eqn(4)
V=( r w t)/ t
V= r w ..............eqn(5)
V= 18×(8 ×2π)
=288π
= 904.9 feet per minute
Hence, the linear speed, in feet per minute, of the water. is 904.9 feet per minute