# uniform circular motion answer key

November 5, 2020

Be Prepared. When a particle speeds up or slows down in a circle both magnitude and direction of its velocity change. So the average acceleration vector due to the change in velocity ${{\vec{a}}_{\text{av}}}$ is, ${{\vec{a}}_{\text{av}}}=\frac{\Delta \vec v}{\Delta t}$. 1 0 obj have to be forced differently to keep the speed the same if the mass changes. It is intended for classroom use only.=====Int, $20 each (inside “Homework Keys” folder) Since the each measurement has a possible error of 10%, the worst case scenariowould be if the radius measurement was 10% too high and the time measurementwas 10% too low.Example:If the actual radius is 10.0 m and the radius measurement is 11.0 mIf the actual time is 10.0 s and the time measurement is 9.0 sActual acceleration = a = 4π2(10.0)/(10.0)2 = 0.40π2 m/s2Measured acceleration = am = 4π2(11.0)/(9.0)2 = 0.54π2 m/s2% Error = [(Measured – Actual)/Actual]100% %Error = [(0.54π2 – 0.40π2)/0.40π2]100% = +35 %These measurements would result in an answer that is 35% too high. Dragging this hot-spot allows you to change the size of iFrame to … All images and problems are my original work so students, This product contains 25 multiple-choice problems that deal with Uniform Circular Motion, Universal Gravitation, and Orbital Mechanics. 3 0 obj All rights reserved. In a uniform circular motion, which of the following is constant? Also included in: High School Physics - Entire Course, Also included in: HIGH SCHOOL PHYSICS | Entire Year Lab Bundle, Also included in: Crash Course Physics Notes - Motion and Forces Bundle, Also included in: Crash Course Physics Bundle #1-46, Also included in: Physics | Distance Learning Bundle |, Also included in: Advanced Level Physics - Bundle Chapter 14 - Circular Mechanics (4 lessons). | {{course.flashcardSetCount}} motion. " Do not confuse with the radial acceleration in nonuniform circular motion being the same as the radial acceleration (or simply acceleration) in uniform circular motion; nonuniform circular motion has two accelerations! 24. Equation \eqref{4} can be rewritten as, $$a_\text{rad} = a_\text{cen} = \frac{{{v^2}}}{r} \tag{5} \label{5}$$. a speed v. When you run the simulation a vector diagram will appear showing the vectors. ELECTROMAGNETISM, ABOUT If the speed of the particle is$ v$, the magnitude of parallel or tangential component of acceleration is, which is the rate of change of speed. Free Sat Physics subject questions on uniform circular motion with detailed. (moderate) For an object in uniform circular motion rank the changes listedbelow regarding the effect each would produce on the magnitude of thecentripetal acceleration of the object? 逥�7�A�ۤW @��=��|�ײ�g����Y�Hk�^R�-R�9H6�r���33$�^l��E��سgG/��^^5����e�u�wG'��4Go��պ�V���绳�zն]�y����<9<8z%������@����h�kn��`~�s�.o2v��+���><8MX����xx�����O����U��Nj$�J��4�e�J��"]�,i7҅� ;^�&٤�,ӅI��"�7�Mۥ�2��u��U����z"�(�5�e�K���h@U�\y��(bEƳܓ;r�� The circular motion can be uniform and nonuniform. At the point referred to, the angle of the tangent is 45°. (moderate) A stunt pilot executes a uniform speed circular path in an airplane. Fig. å�\o;T���?#I��J^�T��6Tg7������2ХbgֶU�[LZ+�J�B:������B'm�����. (moderate) A racecar, moving at a constant tangential speed of 60 m/s, takes one lap around a circular track in 50 seconds. (Found for free on YouTube) They are informative and interesting to students, but someti, A detailed presentation about uniform circular motion. Share. Check all that apply. All rights reserved. However, one can also determine an answer that is too low. T r v Question TitleCircular Motion Problems I A Ferrari is traveling in a uniform circular motion around a racetrack. In this case, at a 315° angle.a = 6.25 m/s2(cos315i + sin315j)a = 4.42i - 4.42j m/s2, 7. Introduction: The acceleration toward the center that keeps objects in uniform circular motion (circular motion at a constant speed) is called centripetal acceleration. List the standard lab apparatuses needed to make the measurements and the calculations a student can make with the measurements to determine the acceleration. 2. When my answers depart. - Uniform Circular Motion. ©2012-2020. It is motion in a circle at a constant speed; this happens because of a centripetal force, a force pointing towards the center of a circle. At one point (x = 4 m, y = 0 m) the particle has a velocity of -5.0j m/s. Find the magnitude of the acceleration.First find the speed:v = (25002 + 30002)½ = 3905 m/sFor uniform circular motion: a = v2/r and T = 2πr/vCombine to show that a = 2πv/TSince T is the period of the motion, and the given data report that it takes one minute to reverse the velocity (the components have reversed), the period is 2 minutes (120 s). Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? flashcard sets, {{courseNav.course.topics.length}} chapters | It is motion in a circle at a constant speed; this happens because of a centrifugal force, a force pointing away from the center of a circle. Mind blown yet? Use the top left button to have the object move in a circle of radius R at. The instantaneous acceleration in the uniform circular motion always points towards the center of the circle called centripetal acceleration or radial acceleration. %���� I provide a full page and half page option for students to fill in as the video plays. This occurs at its maximum level when the radius is 10% too low and the time measurement is 10% too high: When the other extremes occur, the % error is in between the calculations shown, If the actual radius is 10.0 m and the radius measurement is 9.0 m, If the actual time is 10.0 s and the time measurement is 9.0 s, When the measurements are not at the extremes, the % error again will fall in, 6. or to share with any other teachers. In this case the particle has both parallel and perpendicular components of acceleration vector. - Uniform Circular Motion. In the limit that$\Delta t$approaches zero${{a}_\text{av}}\$ in Equation \eqref{3} becomes instantaneous acceleration. The speed can never be zero, because there is always a component of the velocity in the, Presentation: Unit Vectors and Vector Mathematics, Presentation: Graphical Analysis of Motion, Practice Problems: Extremes and Inflections, Presentation: Constant Acceleration Kinematics, Practice Problems: Uniform Circular Motion. flashcard set{{course.flashcardSetCoun > 1 ? What happens to the radial acceleration of the car if the velocity is doubled and the radius of the circle is halved? In case of uniform circular motion the instantaneous acceleration (not average acceleration) has direction towards the centre of the circle which is called centripetal acceleration or radial acceleration. (moderate) A stunt pilot executes a uniform speed circular path in an airplane. What is the acceleration when t = 3.0 seconds?a = dv/dta = (6.0 - 8.0t)i a = (6.0 - 24.0)i = -18.0i m/s2b. This worksheet and quiz will test your ability to understand uniform circular motion. Determine the velocity and acceleration when the particle is at:a. x = 0, y = -4 m The velocity is always tangent to the trajectory.v = -5i m/s (because the circular motion is clockwise on the axis system)a = v2/r = 52/4 = 6.25 m/s2a = 6.25j m/s2(always directed toward the center)b. x = -4 m, y = 0 v = 5j m/sThe acceleration magnitude is constant, so we still have a = 6.25 m/s2a = 6.25i m/s2 (always directed toward the center)c. x = 0, y = 4 m v = 5i m/s a = -6.25j m/s2 d. x = -2.83, y = 2.83 mThe velocity will still have a magnitude of 5 m/s, and will still be tangent to the trajectory. Since T is the period of the motion, and the given data report that it takes one minute to reverse the velocity (the components have reversed), the period is 2 minutes (120 s). In projectile motion a = g and is always acting down, now, in circular motion a is c to v! " -- with physics. Get Ready. You will receive your score and answers at the end. This occurs at its maximum level when the radius is 10% too low and the time measurement is 10% too high:Example:If the actual radius is 10.0 m and the radius measurement is 9.0 mIf the actual time is 10.0 s and the time measurement is 11.0 sActual acceleration = a = 4π2(10.0)/(10.0)2 = 0.40π2 m/s2Measured acceleration = am = 4π2(9.0)/(11.0)2 = 0.30π2 m/s2% Error = [(Measured – Actual)/Actual]100%% Error = [(0.30π2 – 0.40π2)/0.40π2]100% = -25 %, When the other extremes occur, the % error is in between the calculations shownabove.Example:If the actual radius is 10.0 m and the radius measurement is 11.0 mIf the actual time is 10.0 s and the time measurement is 11.0 sActual acceleration = a = 4π2(10.0)/(10.0)2 = 0.40π2 m/s2Measured acceleration = am = 4π2(11.0)/(11.0)2 = 0.36π2 m/s2% Error = [(Measured – Actual)/Actual]100% % Error = [(0.36π2 – 0.40π2)/0.40 2]100% = -10 %Example:If the actual radius is 10.0 m and the radius measurement is 9.0 mIf the actual time is 10.0 s and the time measurement is 9.0 sActual acceleration = a = 4π2(10.0)/(10.0)2 = 0.40π2 m/s2Measured acceleration = am = 4π2(11.0)/(11.0)2 = 0.44π2 m/s2% Error = [(Measured – Actual)/Actual]100%% Error = [(0.44π2 – 0.40π2)/0.40π2]100% = +10 %, When the measurements are not at the extremes, the % error again will fall inbetween its maximum positive and maximum negative values.Example:If the actual radius is 10.0 m and the radius measurement is 10.5 mIf the actual time is 10.0 s and the time measurement is 9.5 sActual acceleration = a = 4π2(10.0)/(10.0)2 = 0.40π2 m/s2Measured acceleration = am = 4π2(10.5)/(9.5)2 = 0.47π2 m/s2% Error = [(Measured – Actual)/Actual]100%% Error = [(0.47π2 – 0.40π2)/0.40π 2]100% = +18 %, 6. �#�}��%�?�]\Zl�����ζyT�+.�p=;,��e\�}�昱���o���˼�ӻ!s �*�3���E}���� lc���&U. Please take your time and answer it completely.Measurement devices needed:A long measuring tapeA stopwatchStep 1: Use the measuring tape to determine the radius (r) of the path of thecar on the circular racetrack. {{courseNav.course.mDynamicIntFields.lessonCount}} lessons Determine the magnitude of the acceleration of the car.a = v2/r T = 2πr/v.....r = Tv/2πcombine...a = v2/(Tv/2π)= v/(T/2π)a = (60)/(50/6.28) = 7.5 m/s2, 2.