Theory In your text, the author derived an equation for centripetal acceleration starting with a particle moving with constant speed in a circle of radius r. 1. In the space provided below, show this derivation in detail. See Section 6.2 in your book. 2. For the situation where an object tied to a string is being whirled in a circle whose plane is horizontal, draw a free body diagram and apply Newton's 2nd law to determine the magnitude of the net force responsible for the motion in terms of the speed of the object, its mass and the radius of the circle. 3. Derive the expression for the magnitude of tangential speed, v, as a function of the period of motion T and the radius of the orbit r for a particle undergoing uniform circular motion.
Theory In your text, the author derived an equation for centripetal acceleration starting with a particle moving with constant speed in a circle of radius r. 1. In the space provided below, show this derivation in detail. See Section 6.2 in your book. 2. For the situation where an object tied to a string is being whirled in a circle whose plane is horizontal, draw a free body diagram and apply Newton's 2nd law to determine the magnitude of the net force responsible for the motion in terms of the speed of the object, its mass and the radius of the circle. 3. Derive the expression for the magnitude of tangential speed, v, as a function of the period of motion T and the radius of the orbit r for a particle undergoing uniform circular motion.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:Lab 4: Centripetal Force
Introduction: The application of Newton's 2nd law to uniform circular motion is a
logical extension of the physics developed so far. The result is an important equation that
explains circular motion and is therefore essential to problems involving this very
common behavior. In this laboratory exercise, you will verify the validity of this
equation and thus become more familiar with uniform circular motion.
Theory
In your text, the author derived an equation for centripetal acceleration starting with a
particle moving with constant speed in a circle of radius r.
1. In the space provided below, show this derivation in detail. See Section 6.2 in
your book.
2. For the situation where an object tied to a string is being whirled in a circle whose
plane is horizontal, draw a free body diagram and apply Newton's 2nd law to
determine the magnitude of the net force responsible for the motion in terms of
the speed of the object, its mass and the radius of the circle.
3. Derive the expression for the magnitude of tangential speed, v, as a function of
the period of motion T and the radius of the orbit r for a particle undergoing
uniform circular motion.
4. Derive an expression for the tension in the string in terms of the hanging brass
mass. Include a force body diagram.
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