Answer: 23.66 in
Explanation:
Drive wheel of engine is larger than pulley of rotary pump
Drive wheel diameter = 13 in
Since radius = diameter / 2
drive wheel radius = 6.5 in
Pulley diameter = 5in
Pulley radius = 2.5 in
Horizontal Distance between pulleys = 2ft
Note : 1 foot = 12 inches
Converting distance to inches ;
Horizontal Distance between pulleys = 2×12 = 24 inches
Difference in height of pulleys = radius 1st pulley - radius of second pulley ;
Height difference = 6.5 - 2.5 = 4 in
From the diagram attached ;
AB = sqrt(BC^2 - AC^2)
Length of belt (AB) = sqrt( 24^2 - 4^2)
Length of belt = sqrt(576 - 16)
Length of belt = sqrt(560)
Length of belt = 23.66 in