Answered: To develop muscle tone, a woman lifts a…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 39P

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To develop muscle tone, a woman lifts a 3.70 kg mass held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. Ignore gravity. (a) What is the angular acceleration if the mass is 24.0 cm from the elbow joint, her forearm having a moment of inertia of 0.250 kg · m², and the muscle force being 760 N at an effective perpendicular lever arm of 2.50 cm? (b) How much work does she do?

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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