Education Technology

# Activities

• ##### Subject Area

• Math: Algebra II: Logarithms and Exponentials

9-12

50 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

## NASA - Newton's Cool in the Pool

#### Activity Overview

To prepare for spacewalks, astronauts train at NASA's Neutral Buoyancy Laboratory (NBL). NASA also uses the NBL to develop flight procedures and verify hardware compatibility -- all of which are necessary to achieve mission success. In this problem, students are presented with a power outage, in which the pool's heater stopped working. They are to predict the temperature change in the NBL pool due to a power failure and determine how long it will take for the water in the pool to reach ambient temperature.

#### Objectives

Students will

• analyze temperature-loss data graphically;
• use Newton's Law of Cooling to predict temperature loss;
• solve the Newton’s Law of Cooling formula for the exponential constant of cooling (k); and
• determine the time required for tank temperature to equalize with room temperature.