A Ferris wheel has a radius of 25 feet. The wheel is rotating at two revolutions per minute. Find the linear speed, in feet per minute, of a seat on this Ferris wheel. ...?

Linear velocity and angular velocity are related by the formula:
v = ωr

ω = n2πr/t, where n is the number of rotations, t is the time taken, r is the radius.
ω = 2 x 2π x 25/1
ω = 100π

v = 100π x 25
= 2500π feet per minute