vector lab essays

vector lab essays The apparatus used in this lab is a circular table with degree marks around the edge. There are three pulleys attached to the table. Weight hangers are attached to a central ring with string and run over the pulleys. The central ring is centered around a central pin. 100cos30= 86.6=x-component 100+86.6=186.6=x 100sin30=50=y-component 173.21+50=223.21=y 200sin60=173.21=y-component =50.10+180=230.10 150cos45=106.07=x-component 106.07+-173.205=-67.135 150sin45=106.07=y-component 106.07+-100=6.07 200cos210=-173.205=x-component C=67.4085 200sin210=-100=y-component =-5.16245 100cos20=93.9643=x-component 93.9643+-76.6044=17.3599 100sin20=34.202=y-component 34.202+64.2788=98.4808 100cos140=-76.6044=x-component C=99.999 100sin140=64.2788=y-component =80.003+180=260.003 With this lab we were able to estimate the magnitude and direction of the resultant vector. We then used vector addition to find the magnitude and direction and compared the findings. Our estimates and calculations were very close. The experiment helped us to better understand vectors and their properties. We used trigonometric equations to find the x and y components of the given vectors. y-component=magnitudesin x-component=magnitudecos We then used vector addition to find the x and y components of the resultant vector. With the x and y components we used the equation magnitude ²=(x-component) ²+(y-component) ² to find the magnitude of the vector and the equation ...