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8 Angular Displacement Do all parts of the minute hand on a watch have the same angular displacement Do they move the same linear distance Explain 9 Angular Acceleration In the spin cycle of a clothes washer, the drum turns at 635 rev/min If the lid of the washer is opened, the motor is turned off If the drum requires 80 s to slow to a stop, what is the angular acceleration of the drum 10 Critical Thinking A CD-ROM has a spiral track that starts 27 cm from the center of the disk and ends 55 cm from the center The disk drive must turn the disk so that the linear velocity of the track is a constant 14 m/s Find the following a the angular velocity of the disk (in rad/s and rev/min) for the start of the track b the disk s angular velocity at the end of the track c the disk s angular acceleration if the disk is played for 76 min

C# defines the logical operators shown in Table 14-3.

Figure 20-10 Coulomb used a similar type of apparatus to measure the force between two spheres, A and B He observed the deflection of A while varying the distance between A and B

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Force depends on charge To investigate the way in which the force depended on the amount of charge, Coulomb had to change the charges on the spheres in a measured way He first charged spheres A and B equally, as before Then he selected an uncharged sphere, C, of the same size as sphere B When C was placed in contact with B, the spheres shared the charge that had been on B alone Because the two were the same size, B then had only half of its original charge Therefore, the charge on B was only one-half the charge on A After Coulomb adjusted the position of B so that the distance, r, between A and B was the same as before, he found that the force between A and B was half of its former value That is, he found that the force varied directly with the charge of the bodies F qAqB

Figure 6-7

Use a balloon and an electroscope to investigate charging by induction and charging by conduction 1 Predict what will happen if you charge a balloon by rubbing it with wool and bring it near a neutral electroscope 2 Predict what will happen if you touch the balloon to the electroscope 3 Test your predictions Analyze and Conclude 4 Describe your results 5 Explain the movements of the leaves in each step of the experiment Include diagrams 6 Describe the results if the wool had been used to charge the electroscope

After many similar measurements, Coulomb summarized the results in a law now known as Coulomb s law: the magnitude of the force between charge qA and charge qB, separated by a distance r, is proportional to the magnitude of the charges and inversely proportional to the square of the distance between them F

The unit of charge: the coulomb The amount of charge that an object has is difficult to measure directly Coulomb s experiments, however, showed that the quantity of charge could be related to force Thus, Coulomb could define a standard quantity of charge in terms of the amount of force that it produces The SI standard unit of charge is called the coulomb (C)

Bitwise AND of the two operands Bitwise OR of the two operands Bitwise exclusive OR (XOR) of the two operands Logical AND of the two operands Logical OR of the two operands

One coulomb is the charge of 624 1018 electrons or protons A typical lightning bolt can carry 5 C to 25 C of charge The charge on a single electron is 160 10 19 C The magnitude of the charge of an electron is called the elementary charge Even small pieces of matter, such as coins, contain up to 106 C of negative charge This enormous amount of negative charge produces almost no external effects because it is balanced by an equal amount of positive charge If the charge is unbalanced, even as small a charge as 10 9 C can result in large forces According to Coulomb s law, the magnitude of the force on charge qA caused by charge qB a distance r away can be written as follows

qAqB r2 The force between two charges is equal to Coulomb s constant, times the product of the two charges, divided by the square of the distance between them

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