Assume that a 1.30-kg ball is thrown solely by the action of the forearm, which rotates about the elbow joint under the action of the triceps muscle, the figure. The ball is accelerated uniformly from rest to 8.3 m/s in 0.30 s , at which point it is released. Assume that the forearm has a mass of 3.7 kg and rotates like a uniform rod about an axis at its end. Neglect gravity. (Figure 1) Calculate the angular acceleration of the arm. Express your answer to two significant figures and include the appropriate units. Calculate the force required of the triceps muscle.
Assume that a 1.30-kg ball is thrown solely by the action of the forearm, which rotates about the elbow joint under the action of the triceps muscle, the figure. The ball is accelerated uniformly from rest to 8.3 m/s in 0.30 s , at which point it is released. Assume that the forearm has a mass of 3.7 kg and rotates like a uniform rod about an axis at its end. Neglect gravity. (Figure 1) Calculate the angular acceleration of the arm. Express your answer to two significant figures and include the appropriate units. Calculate the force required of the triceps muscle.
Assume that a 1.30-kg ball is thrown solely by the action of the forearm, which rotates about the elbow joint under the action of the triceps muscle, the figure. The ball is accelerated uniformly from rest to 8.3 m/s in 0.30 s , at which point it is released. Assume that the forearm has a mass of 3.7 kg and rotates like a uniform rod about an axis at its end. Neglect gravity. (Figure 1) Calculate the angular acceleration of the arm. Express your answer to two significant figures and include the appropriate units. Calculate the force required of the triceps muscle.
Assume that a 1.30-kg ball is thrown solely by the action of the forearm, which rotates about the elbow joint under the action of the triceps muscle, the figure. The ball is accelerated uniformly from rest to 8.3 m/s in 0.30 s , at which point it is released. Assume that the forearm has a mass of 3.7 kg and rotates like a uniform rod about an axis at its end. Neglect gravity. (Figure 1)
Calculate the angular acceleration of the arm. Express your answer to two significant figures and include the appropriate units.
Calculate the force required of the triceps muscle. Express your answer to two significant figures and include the appropriate units.
Transcribed Image Text:The image illustrates the anatomy of a human arm in the context of measuring leverage and forces applied. It specifically focuses on:
1. **Axis of Rotation (at Elbow):** This is the pivot point located at the elbow joint. It marks where the arm rotates when you flex or extend your forearm.
2. **Triceps Muscle:** This muscle is depicted along the back of the upper arm. It is responsible for extending the elbow, which straightens the arm.
3. **Lever Arm Measurements:**
- The distance from the axis of rotation (elbow) to where the ball is held is shown as 31 cm.
- The perpendicular distance from the axis of rotation to the line of action of the triceps muscle force is 2.5 cm. This measurement is significant in calculating the torque around the elbow joint.
The diagram is useful for teaching concepts such as torque, leverage, and the mechanics of muscle action in human anatomy.
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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