<p>A car starts from rest and then accelerates uniformly to a linear speed of <s
ID: 1696983 • Letter: #
Question
<p>A car starts from rest and then accelerates uniformly to a linear speed of <span>14</span> m/s in <span>41</span> s. If the tires have a radius of <span>26</span> cm, what are the following?</p><div class="indent">(a) the average linear acceleration of a tire <br /> <span class="qTextField"> <span class="box_num" title="Points: -/1">1</span><input id="RN_987161_8_0_996942" dir="ltr" name="RN_987161_8_0_996942" size="10" type="text" value=".34" /></span><img id="mark_RN_987161_8_0_996942" title="Your answer is correct." src="http://www.webassign.net/wastatic/common/img/tick.png" alt="Your answer is correct." /> m/s<sup>2</sup> <br /><br /> (b) the angular acceleration of a tire <br /> <span class="qTextField"> <span class="box_num" title="Points: -/1">2</span><input id="RN_987161_8_1_996942" dir="ltr" name="RN_987161_8_1_996942" size="10" type="text" value="7.54" /></span><img id="mark_RN_987161_8_1_996942" title="Your answer is incorrect." src="http://www.webassign.net/wastatic/common/img/cross.png" alt="Your answer is incorrect." /> rad/s<sup>2</sup> <br /><br /> (c) the angular displacement of a tire from <em>t</em> = 0 to <em>t</em> = <span>41</span> s <br /> <span class="qTextField"> <span class="box_num" title="Points: -/1">3</span><input id="RN_987161_8_2_996942" dir="ltr" name="RN_987161_8_2_996942" size="10" type="text" /></span> rad <br /><br /> (d) the total distance traveled by a point on the edge of a tire (Ignore the linear motion.) <br /> <span class="qTextField"> <span class="box_num" title="Points: -/1">4</span><input id="RN_987161_8_3_996942" dir="ltr" name="RN_987161_8_3_996942" size="10" type="text" /></span> m</div>
Explanation / Answer
A car starts from rest and then accelerates uniformly to a linear speed of14m/s in 41s .If the tires have a radius of 26cm what are the following? a) the average linear acceleration of a tire b) the angular acceleration of a tire (c) the angular displacement of a tire from t= 0 to 41 (d) the total distance traveled by a point on the edge of a tire (Ignore the linear motion.) ---------------------- a) a = delta_v/T=14/41=0.34(m/s2_ b) it is a/r=0.34/26e-2=1.3(rad/s2) c) it is omega=1.3*41^2/2=1100(rad) d) the velocity of one point at the edge of a tire is v=w*r. we have that in 41s. w*T=1100 (rad). so in 41s. v*T=1100*26e-2=284(m)
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