Instantaneous Velocity and Acceleration

Instantaneous Velocity and Acceleration - PHY 221 Lab#1...

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PHY 221 Lab 2 & Instantaneous Velocity and Acceleration Leader: Critic: Scribe: Goals : In the previous lab you became familiar with concepts of position, displacement and average velocity. The primary goal of this lab is to demonstrate a concept of instantaneous velocity and its relation to derivative of position over time. Introduction to kinematics will be completed by measurements of acceleration. Materials: Metal angle bracket PC with ULI interface for measuring instruments PASCO Motion Sensor (also known as a "sonic ranger") PASCO cart on aluminum tracks Activity: 1. From average to instantaneous velocity& Use a cart on aluminum tracks and sonic ranger to detect its motion. Set up the readout program as in the first lab i.e. the display should show just one graph of cart position as a function of time; click on the shortcut to &week1& or follow instructions in the Appendix. Collect data and ensure that the sonic ranger detects the cart all along the track. Start moving the cart back and fourth along the track driving it with your fingers. Cover the range of about one meter in this back and forth motion. Don&t get too close to the sonic ranger since it has some dead area right in front of it (allow at least 30cm separation). Collect the data. You should make 2 or 3 full cycles in the back and forth motion during the data collection period (i.e. in 10sec). You should see wave like graph on your screen. Try to make it smooth without any sudden steps or spikes in the entire time range. Copy the Page 1 of 7 PHY 221 Lab #1: Introduction to Measurements 12/28/2009 http://physics.syr.edu/courses/PHY221.07Spring/manuals/instantaneous-v-and-a.html
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graph to this report: Pick up a time moment on your graph (we will refer to it as &A&) when the cart was at the middle point between the closest and the farthest distance from the sonic range. Since the cart was several times in this position, pick the one with the cart moving away from the sonic ranger. You also want to see the cart come back to this position, at least once, at a later recorded time. Indicate the point A on your graph above. Using the measurement cursor ( &x=?& button) determine the time and position of the cart at this point: t A =&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& x A = & Now go to the next time moment when the cart came back to the same position (point &B& & indicated it on the graph). Record the time and position from the graph: t B =&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& x B = & Calculate average velocity for the AB time period: v AB =& x AB / t AB = (x B - & x A )/(t B - t A ) = The cart was definitely moving in this time interval. Comment on the meaning of the value of the average
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Instantaneous Velocity and Acceleration - PHY 221 Lab#1...

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