Additional Real World Applications for Radical Expressions Section 5-6 March 2, 2011 Fellow: Brooke...
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Transcript of Additional Real World Applications for Radical Expressions Section 5-6 March 2, 2011 Fellow: Brooke...
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
**2