Estimate the gradient vector nt 6 9 Include units The pressu

Estimate the gradient vector nt (6, 9). Include units. The pressure (in kPa) on a 8 inch by 8 inch touch screen is shown below. Estimate the direction and magnitude of nabla^rightarrow P at the indicated points. Include units, and draw the vector on the contour plot. x= 3, y = 2 x = 6, y = 3 x = 7, y = 5

Solution

Units not given in the figure

a) Del P = 1i -4j      ( values increas in x decrease in y dirn)

b) Del P = 1 i -3 j    ( value increase in x decrease in y dirn)

c) Del P = .3i +2,5j ( value increase in both x and y directions)

Magnitudes for the vectors obtained as amplitude

4,12

3.16

2.52