Naval Question:
MIDN Rabbit recently completed the NAVY PFA last Friday. During the course of CRUSHING the run and setting a new PR of 7:55, he/she performed a total of 1.1 million ft-Ibf of work.
1). Convert 1.1 million ft-Ibf of work to BTUs
2). Assume MIDN Rabbit's mass is 140 Ibm, how much distance did he/shecover on the track?
(1 mile = 5280 ft)
To answer these questions, we need to understand the conversions between units and formulas related to work and distance. Let's break it down step by step:
1. Convert 1.1 million ft-Ibf of work to BTUs:
- BTU stands for British Thermal Unit, which is a unit of energy commonly used for heating and cooling applications.
- To convert ft-Ibf to BTU, we need to know that 1 ft-Ibf is equivalent to approximately 0.001285 BTU.
- Therefore, to convert 1.1 million ft-Ibf to BTU, we multiply 1.1 million by 0.001285.
Calculation:
1,100,000 ft-Ibf * 0.001285 BTU/ft-Ibf = 1,418.5 BTU
So, 1.1 million ft-Ibf of work is approximately equivalent to 1,418.5 BTUs.
2. Calculate the distance covered on the track:
- To calculate the distance covered, we need to use the work-energy relationship formula: Work = Force * Distance
- In this case, since we are given the work performed and the mass of MIDN Rabbit, we can use the formula Work = (Mass * Acceleration) * Distance, where Acceleration = 32.2 ft/s^2 (acceleration due to gravity).
- Since Work = 1.1 million ft-Ibf, Mass = 140 lbm (pound-mass), and Acceleration = 32.2 ft/s^2, we can rearrange the formula to solve for Distance: Distance = Work / (Mass * Acceleration)
Calculation:
Distance = (1,100,000 ft-Ibf) / (140 lbm * 32.2 ft/s^2)
Note: To convert lbm to lb (pound-force), we need to multiply lbm by the gravitational constant, which is approximately 32.2 ft/s^2.
Distance = (1,100,000 ft-Ibf) / (140 lbm * 32.2 ft/s^2)
Distance = (1,100,000 ft-Ibf) / (140 lbm * 32.2 ft/s^2)
Distance = 8,164.45 ft
Since 1 mile is equivalent to 5280 ft, the distance covered by MIDN Rabbit is:
8,164.45 ft / 5280 ft/mile = 1.55 miles
Therefore, MIDN Rabbit covered approximately 1.55 miles on the track.