The tendon from the leg extensor muscles (i.e., the quadriceps tendon) attaches

Question

The tendon from the leg extensor muscles (i.e., the quadriceps tendon) attaches to the tibia bone at 1.5 in (3.8 cm: 0.038 m) away from the axis of rotation of the knee joint. The foot is 15 in (38.1 cm: 0.381 m) away from the axis of rotation of the knee joint. What arc length does the foot move through when the leg extensor muscles contract and their point of insertion on the tibia moves through an arc length of 2 in (5.1 cm: 0.051 m)? 30 in (76.2 cm: 0.762 m) 20 in (50.8 cm 0.508 m) 15 in (38.1 cm: 0.381 m) 1.5 in (3.8 cm: 0.038 m)

Explanation / Answer

Arc length by which tibia moves = 2 in

distance of tibia from point of rotation = 1.5 in

Distance of foot from point of rotation = 15 in

Angle subtended by the foot and tibia at the point of rotation will be equal

Therefore , Arc length the foot moves = (2/1.5)*15 = 20 in (50.8 cm, 0.508m)

Second option is correct

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