Week 5 Dimensional analysis by Hisham Bhatti

[Audio] Week 5 Dimensional analysis by Hisham Bhatti Term: April, 2024 Instructor Name: Luis Hurtado.

[Audio] The PRESCRIPTION INSTRUCTIONS Prescription: 10 mg of Drug Z per pound of child's weight a day. Child's Weight: 30 Kg Issue: The parents would prefer to give liquid medication. You found a liquid medication that contains 0.6 grams of Drug Z per mL of solution. Question: How many mL of the liquid medication should the child take to meet the order of the prescription? Round your answer to 3 decimal places. Hint: 1 Kg = 2.2 lbs Non-Commonly Used Conversion Formulas 1 Kg = 2.2 lbs.

[Audio] DIMENSIONAL ANALYSIS Convert the child's weight to pounds: 30 kg×2.2 lbs/kg =66 lbs Calculate the total daily dosage required in milligrams (mg): 66 lbs×10 mg/lb =660 mg Convert the total daily dosage from milligrams to grams (g): 660 mg÷1000 mg/g=0.66 g Calculate the volume of liquid medication needed in milliliters (mL): 0.66 g/0.6 g/mL=1.1 mL The child should take 1.1 mL of the liquid medication to meet the daily required dosage of Drug Z..

[Audio] SUMMARIZE WHAT YOU WOULD TELL THE MOTHER AFTER YOU COMPLETE YOUR CALCUATIONS. Based on the weight of your child, which is 30 kilograms, and the prescribed amount of Drug Z, which is 10 milligrams per pound of body weight each day, I've done the math to convert your child’s weight into pounds and calculate the correct dosage. Your child will need 660 milligrams of Drug Z per day. The liquid medication you have is quite potent; it contains 0.6 grams of Drug Z in every milliliter of liquid. So, for your child, only 1.1 milliliters of this medication per day is needed to meet the doctor’s prescription. This is a very small amount, and you should use a syringe or a precise measuring device to ensure you give the correct dose. It's important to not exceed this amount to keep your child safe. If you have any concerns or questions, please don't hesitate to ask the pharmacist or the doctor for more guidance.".

[Audio] . DESCRIBE ANOTHER SITUATION OR PROFESSIONAL FIELD IN WHICH DIMENSIONAL ANALYSIS WOULD TAKE PLACE. Dimensional analysis is a versatile tool that is used across many fields beyond healthcare and pharmacy. It's particularly essential in engineering, especially in fields like civil, mechanical, and chemical engineering. For instance, in civil engineering, dimensional analysis is crucial when designing structures such as bridges, buildings, and dams. Engineers use it to convert different units of measurement to ensure that the materials will support the required loads. They might need to convert measurements from metric to imperial units, depending on the standards they are working with, and to ensure that all components of a project fit together correctly..

[Audio] WHAT DID YOU LEARN AFTER COMPLETING THIS PRESENTATION? I could say that after completing a presentation like the one on dimensional analysis, one might learn a great deal about the practical applications of mathematical concepts to real-world problems. It could deepen an understanding of the importance of accuracy in medication dosing, and the critical role of mathematics in everyday decisions and professional practices..