Final answer:
To convert 1 foot-pound to Joules, first convert the pound-force to newtons and the distance in feet to meters, then multiply the two values. The result is approximately 1.356 Joules.
Step-by-step explanation:
The student is asking about the conversion of a quantity in foot-pounds to Joules, which is a physics problem involving the concept of work and energy. To perform this conversion, we need to know that 1 pound-force equals approximately 4.448 newtons and that work (in Joules) is calculated as force (in newtons) multiplied by distance (in meters).
Since 1 foot is equal to 0.3048 meters, we can convert foot-pounds to Joules by first converting the force in pounds to newtons and the distance in feet to meters. Specifically, 1 foot-pound is equal to 4.448 newtons multiplied by 0.3048 meters. This gives us:
1 ft. lb. = 4.448 N * 0.3048 m = 1.3558179483 Joules.
Therefore, the conversion from 1 foot-pound to Joules is approximately 1.356 Joules, when rounded to three decimal places.