A student is studying simple harmonic motion of a spring. She conducts an experiment where she measures the amplitude and period of an undamped system to be 23 ± 2 mm and 0.40 ± 0.020 seconds, respectively. Using the equation for displacement as a function of time y(t) = Acos(ωt), what is the uncertainty of her displacement calculation in mm for t = 0.050 ± 0.0010 seconds?

5.9*10^{-4}m

Explanation:

to find the uncertainty of the displacement it is necessary to compute the uncertainty for the angular frequency:

then, you can calculate the uncertainty in angular displacement:

finally, by using:

grav force prop 1/r squared 2r all squared is 4rsquared 1/4rsquared quartered

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.