Answered: A soccer player extends her lower leg…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter10: Rotational Motion And Angular Momentum

Section: Chapter Questions

Problem 13PE: A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above...

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Question

A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above the knee in front of her leg. She produces an angular acceleration of 30 rad/s2and her lower leg has a moment of inertia of 0.75 kgm2. What is the force exerted by the muscle if its effective perpendicular lever arm is 1.9 cm?

[Answer: 1.18×103N.]

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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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