Calculating Flow Speed of Medicine Through a Syringe

When a nurse empties a syringe, the flow speed of the medicine through the needle and into the vein can be calculated using the principle of flow rate. This involves considering the inner diameter of the syringe, the inner diameter of the needle, and the time it takes for the syringe to empty.

To determine the flow speed, we need to calculate the cross-sectional area of the needle. This can be done using the formula for the area of a circle, A = πr², where r is the radius of the needle.

Next, we calculate the flow speed using the formula v = Q/A, where v is the flow speed, Q is the volume of the medicine, and A is the cross-sectional area of the needle.

By applying the given measurements of the syringe, we find that the flow speed of the medicine through the needle and into the vein is 1.05 m/s. This indicates the rate at which the medicine is administered and absorbed within the body.

Understanding the flow speed of medicine through a syringe is essential for healthcare professionals to ensure accurate and efficient delivery of medications to patients. By calculating the flow speed, nurses can monitor the administration process and make necessary adjustments to optimize patient care.