**Educational Content: Understanding Odometers and Wheel Rotations**Semi-trailer trucks are equipped with odometers, which are instruments used to measure the distance traveled by a vehicle. These devices are typically situated on one hub of a trailer wheel. The hub is designed to be weighted so that it does not rotate. Instead, it houses gears that count the number of wheel revolutions, allowing it to calculate the total distance traveled.**Problem Statement:**Given a wheel with a diameter of 2.0 meters that goes through 200,000 rotations, determine the number of kilometers the odometer should display.**Conceptual Hint:**To solve this, consider the rotational angle covered during 200,000 rotations. Understand how this angle relates to the arc-length, which is the distance covered by the wheel.**Required Calculation:**- Enter your answer to three significant figures.**Incorrect Attempt:**A student attempted an answer of 1,257 km, which was marked incorrect.**Feedback:**- It is important to re-evaluate the calculations to arrive at the correct distance in kilometers.

This problem can be solved using basic angular motion formula

Semi-trailer trucks have an odometer (an instrument for measuring the distance traveled by a vehicle) on one hub of a trailer wheel. The hub is weighted so that it does not rotate, but it contains gears to count the number of wheel revolutions-it then calculates the distance traveled. If the wheel has a 2.0 m diameter and goes through 200000 rotations, how many kilometers should the odometer read? Hint: What is the rotational angle covered in 200000 rotations? How is this angle related to the arc- length? Enter to 3 significant figures Answer: 1,257 X km

Semi-trailer trucks have an odometer (an instrument for measuring the distance traveled by a vehicle) on one hub of a trailer wheel. The hub is weighted so that it does not rotate, but it contains gears to count the number of wheel revolutions-it then calculates the distance traveled. If the wheel has a 2.0 m diameter and goes through 200000 rotations, how many kilometers should the odometer read? Hint: What is the rotational angle covered in 200000 rotations? How is this angle related to the arc- length? Enter to 3 significant figures Answer: 1,257 X km

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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