178 Anatomy & Physiology Essentials Copyright Goodheart-Willcox Co., Inc. the nature of the work or exercise being done, how often the muscle is used, the muscle fiber composition of the muscle, and the temperature and humidity of the environment. Muscle fatigue is characterized by reduced ability to produce force and slowed contraction speed. Also, movements can vary significantly, the definition of muscular endurance is specific to each physical activity. In general, muscle fatigue can be thought of as the opposite of muscular endurance. The faster a muscle fatigues, the less endurance it has. A variety of factors affect the rate at which a muscle fatigues, including Calculating Muscle Force Fm (muscle force) W (weight) dW dF Joint center of rotation Do you know how much force your muscle must generate to hold a 5-pound weight in the position shown in the illustration? To hold the weight in this position, the torque at the elbow joint generated by the muscle (muscle torque) must balance the torque produced by the weight (weight torque) at the elbow. Muscle torque is the product of muscle force and the perpendicular distance of that force from the center of rotation at the joint. The formula is: Tm = Fm × dF where Tm = muscle torque, Fm = muscle force, and dF = the perpendicular distance. Weight torque is the product of the weight and the perpendicular distance of that weight from the center of rotation at the joint. This formula is: TW = W × dW where TW = weight torque, W = weight, and dW = the perpendicular distance. Suppose that the weight in the illustration is 5 pounds, and that it is being held at a distance (dW) of 12 inches from the center of the joint. The distance of the muscle attachment from the joint center (dF) is 1 inch. How much force must the muscle produce to support the weight? Tm = TW Fm × dF = W × dW Fm × 1″ = 5 lb × 12″ Fm = 60 lb Are you surprised? To support just 5 pounds in the hand, the muscle must generate 60 pounds of force. Because muscles attach so closely to joints, the human musculoskeletal system is designed more for movement speed than for strength. Now you try: Suppose that the weight (W) in this picture is 10 pounds, the dW is 15 inches, and the dF is 1 inch. What is the Fm? Figure 6.10 © Body Scientific International
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178 Anatomy & Physiology Essentials Copyright Goodheart-Willcox Co., Inc. the nature of the work or exercise being done, how often the muscle is used, the muscle fiber composition of the muscle, and the temperature and humidity of the environment. Muscle fatigue is characterized by reduced ability to produce force and slowed contraction speed. Also, movements can vary significantly, the definition of muscular endurance is specific to each physical activity. In general, muscle fatigue can be thought of as the opposite of muscular endurance. The faster a muscle fatigues, the less endurance it has. A variety of factors affect the rate at which a muscle fatigues, including Calculating Muscle Force Fm (muscle force) W (weight) dW dF Joint center of rotation Do you know how much force your muscle must generate to hold a 5-pound weight in the position shown in the illustration? To hold the weight in this position, the torque at the elbow joint generated by the muscle (muscle torque) must balance the torque produced by the weight (weight torque) at the elbow. Muscle torque is the product of muscle force and the perpendicular distance of that force from the center of rotation at the joint. The formula is: Tm = Fm × dF where Tm = muscle torque, Fm = muscle force, and dF = the perpendicular distance. Weight torque is the product of the weight and the perpendicular distance of that weight from the center of rotation at the joint. This formula is: TW = W × dW where TW = weight torque, W = weight, and dW = the perpendicular distance. Suppose that the weight in the illustration is 5 pounds, and that it is being held at a distance (dW) of 12 inches from the center of the joint. The distance of the muscle attachment from the joint center (dF) is 1 inch. How much force must the muscle produce to support the weight? Tm = TW Fm × dF = W × dW Fm × 1″ = 5 lb × 12″ Fm = 60 lb Are you surprised? To support just 5 pounds in the hand, the muscle must generate 60 pounds of force. Because muscles attach so closely to joints, the human musculoskeletal system is designed more for movement speed than for strength. Now you try: Suppose that the weight (W) in this picture is 10 pounds, the dW is 15 inches, and the dF is 1 inch. What is the Fm? Figure 6.10 © Body Scientific International

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