A water mill grinds corn to make cornmeal. The water wheel has a radius of 18 feet. The wheel is rotating at 8 revolutions per minute. Find the linear speed, in feet per minute, of the water.

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 = wteqn(2)

w= angular speed= 8 rev per minute= (8 × 2π)

t= time

Velocity can also be expressed as

V= s/teqn(3)

Where

V= velocity

s= distance

t= time

Substitute eqn(2) into eqn(3)

V=( r θ)/ teqn(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

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