Additional Real World Applications for Radical Expressions Section 5-6 March 2, 2011 Fellow: Brooke Odle Teacher: Ms. Sanchez Saint Vincent Academy.

Additional Real World Applications for Radical Expressions

Section 5-6March 2, 2011

Fellow: Brooke OdleTeacher: Ms. Sanchez

Saint Vincent Academy

Financial Planning

• A financial planner has been asked to determine the inflation rate for homes.

• To calculate the inflation of homes that increases from p1 to p2 over n years, the annual rate of inflation (expressed as a decimal) can be modeled as:

11

21

n

p

pi

Medicine

• Doctors can approximate the Body Surface Area of an adult (in square meters) using an index called BSA where H is height in centimeters and W is weight in kilograms:

3600

WHBSA

Geology/Meterology/Oceanography

• The Pacific Tsunami Warning Center is responsible for monitoring earthquakes that could potentially cause tsunamis in the Pacific Ocean. Through measuring the water level and calculating the speed of a tsunami, scientists can predict arrival times of tsunamis.

• The speed (in meters per second) at which a tsunami moves is determined by the depth d (in meters) of the ocean:

dgs g is acceleration due to gravity, which is 9.8 meters per square second

Electrical Engineering

• To measure voltage (V, measured in volts), electrical engineers use the following formula:

RPV Where P is power (measured in watts) and R is resistance (measured in ohms)

Physics/Engineering

• Physicists and engineers may study how force affects objects. A force is a vector (magnitude and direction) and vectors have components based on direction (x, y, z). To find the total force (resultant force), the following formula can be used:

222zyxt FFFF

FyFx

Fz

Physics/Engineering

• Example: Research on shoulder movement during wheelchair propulsion

222zyxt FFFF

Image courtesy of out-front.com

Image courtesy of Dubowsky et al, 2009: Dubowsky SR, Sisto SA, and Langrana NA. 2009. “Comparison of kinematics, kinetics, and EMG throughout wheelchair propulsion in able-bodied and persons with paraplegia: An: integrative approach.” Journal of Biomechanical Engineering, 131.

Researchers use the

SmartWheel to determine the forces at the hand when it

hits the handrim for each push

Supply Chain Management/Business

• You are a purchasing manager for a medical device company. You are responsible for directing the way the company buys, stores, and sells supplies to other companies.

• You want to reduce the company’s warehousing costs by ordering the supplies needed to produce the medical devices just in time to use them.

Supply Chain Management/Business• In order to determine the most economic order

quantity E for parts used in production of the medical devices, you need to use the following formula:

– A is the quantity the plant will use in one year– S is the cost of setup for making the device – I is the cost of holding one unit in stock for one year

• Find E if S = $6,000, A = 25, and I = $140.• Answer: 46 (You can’t order a fractional quantity, so

round down to 46.)

I

SAE

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