SPH4U: Lecture 8 Notes - The Burns Home Page

Accelerometer...Accelerometer...• Using components :i: T sin q = ma• Alternative solution using vectors (elegant but not assystematic):• Find the total vector force F NET :j: T cos q- mg = 0• Eliminate T :T sin q= ma tan q aT cos q= mg gTmaqmmgijmgqTF TOTqT (string tension)mmg (gravitational force)SPH4U: Lecture 8, Pg 33SPH4U: Lecture 8, Pg 34Accelerometer...tan q a gAccelerometer...• Alternative solution using vectors (elegant but not assystematic):• Find the total vector force F NET :• Recall that F NET = ma:T (string tension)qT• Somgqmama atan q mg gmmg (gravitational force)tan q a g• Let’s put in some numbers:• Say the car goes from 0 to 60 mph in 10 seconds:‣ 60 mph = 60 x 0.45 m/s = 27 m/s.‣ Acceleration a = Δv/Δt = 2.7 m/s 2 .‣ So a/g = 2.7 / 9.8 = 0.28 .‣ q = arctan (a/g) = 15.6 degaqCart w/accelerometerSPH4U: Lecture 8, Pg 35SPH4U: Lecture 8, Pg 36Page 9