Question

You inject your patient with 2.5-mL of medicine. If the inside diameter of the 31-gauge needle is 0.114 mm and the

injection lasts 0.90 s.
1) Determine the speed of the fluid as it leaves the needle. (Express your answer to two significant figures.)

Answer 1

270 m/s

Step-by-step explanation:

The cylinder of medicine has to exit in .9s

Find 'height' of the fluid cyinder pi r^2 h = 2.5 cc

2.5 cc = .0000025 m^3

.114 mm = .000114 m radius = .000057 m

pi (.000057)^2 h = .0000025

solve for h = 244.9 meters

in .9 s

=~ 270 m/s ( Yikes.....seems correct though)