Lab Report

Physics Lab 214 Sec:80X Date: Angular Acceleration Name: Lab Partner: Aim : The purpose of this lab is to learn and understand the concept regarding rotational motion. By calculating the angular acceleration of a spool as a string is unwinding from it due to a weight, we are able to observe and understand the ideas regarding rotational motion.

Data : M=5g Radius SN Position vs time 2A= α (rad s -2 ) Velocity vs time Slope (m) α (rad s -2 ) % difference R 1 =1.5cm 1 -372 -362 -0.0074259 R 1 =1.5cm 2 -252 -317 0.0813679 8

Sources of error : Some possible sources of error could include the quality of the string and spool that was used. Another source of error is due to friction. Computer error during calculation, along with human error during the experiment or calculations is also possible. Application : 1. What is an example of an object that first has rotational motion and then has linear motion? An example of an object that has rotational motion, and then linear motion is a shot put. The holder spins the shot put until they let go of the shot put so it has linear motion outwards. Extension problem : 1. A wheel rotating about a fixed axis through its center has a constant angular acceleration of 4.0 rad/s 2 . In certain 4.0 s interval the wheel turns through an angle of 80 rads. (a) What is the angular velocity of the wheel at the start of the 4.0 s interval? ( 80 − 0 ) = ω ( 4 )+ 1 ( 4 )( 4 ) 2 o 2 80 = 4 ω o + 32 48 = 4 ω o ω = 12 ( r ad ) (b) Assuming that the wheel starts from rest, how long is it in motion at the start of the 4.0 s interval? t = 3 ( s ) 12 =( 0 )+( 4 ) t 12 = 4 t Conclusion : In this lab, I learned about angular acceleration along with rotational motion. I learned the concepts and equations around this topic, as well as comparing rotational motion to linear motion. I further learned that the relationship between linear and angular motion is also significant, especially when considering objects with rotational inertia. The moment of inertia, which is analogous to mass in linear motion, determines how an object's mass is distributed relative to the axis of rotation and greatly influences how the object responds to applied torque. This concept is pivotal in understanding the behavior of spinning objects, o s