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Get Full Access to Physics: Principles With Applications - 6 Edition - Chapter 5 - Problem 47gp
Get Full Access to Physics: Principles With Applications - 6 Edition - Chapter 5 - Problem 47gp

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# A car with 58-cm-diameter tires accelerates uniformly from ISBN: 9780130606204 3

## Solution for problem 47GP Chapter 5

Physics: Principles with Applications | 6th Edition

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Problem 47GP

A car with 58-cm-diameter tires accelerates uniformly from rest to 20 m/s in 10 s. How many times does each tire rotate?

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Solution Here we have to calculate the no of rotations of car tire in 10 seconds.to calculate that first we have note down the given data Given data: Initial speed of car v = 0 i Final speed of the car v = 20 m/s Time taken to increase speed is t = 10 s Radius of the car tire r = d/2 = 58 cm/2 = 0.29 m Initial angular speed of car is =0 rad/s The angular acceleration of car obtained by expression v = v0+at a = vv /t 0 a = v/t v0= 0 m/s The distance travelled by the car during the time it is accelerating calculated by the relation 2 2 2ax = v v 0 x = v v /2a = v /2a2 0 =v /2(v/t) =vt/2 Then the number of times rotate that is also called the no of circumferences of the tire is given by x = N(2r) N = x/d N = (vt/2)/d N = vt//2d N = (20 m/s)(10 s)/2((0.58m)/rotation) N = 55 rotations We can check our calculation by another way that is acceleration is constant,the distance car travels is just the average velocity times the car the time of travel.average velocity is given by x = v avgt = (v+v )0t = vt/2 55 is a reasonable number rotations for a car tire in 10 seconds

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##### ISBN: 9780130606204

This full solution covers the following key subjects: accelerates, Car, diameter, Rest, rotate. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. Since the solution to 47GP from 5 chapter was answered, more than 681 students have viewed the full step-by-step answer. The answer to “A car with 58-cm-diameter tires accelerates uniformly from rest to 20 m/s in 10 s. How many times does each tire rotate?” is broken down into a number of easy to follow steps, and 22 words. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. The full step-by-step solution to problem: 47GP from chapter: 5 was answered by , our top Physics solution expert on 03/03/17, 03:53PM.

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