a pulley revolving at 250 revolutions per minute has a diameter of 8 inches. it is belted to a second pulley which revolves at 200 revolutions per minute. find the diameter of the second pulley

If they are belted, the velocity should be the same.

Diameter * pi = Circumference

Circumference * rev/min = velocity

==>

Diameter*pi * rev/min = velocity

8*pi*250 = d*pi*200

solve for d