University:
University of Michigan
Course:
MATH 116 | Calculus II
Academic year:

2024
Views:

132

Pages:

1
Author:

banenetta0l

Question 1 How do you convert 2.7 meters per second to feet per minute? Answer You can convert meters to feet first. Given that one meter equals 3.2808399 feet, 2.7 meters are 2.7 × 3.2808399 feet, which is 8.85826772 feet. Now, if you know that in a second you travel 8.85826772 feet, how many feet you will travel in a minute? Assuming the speed to be constant, the distance traveled in a minute will be 60 times the distance traveled in a second, so 60 × 8.85826772 = 531.4960632, which is the final answer, since now we are expressing speed with feet per minute. In case you wondered, this is 0.26 the speed at which Usain Bolt runs his best 100 meters. Question 2 How do you figure out how many cups are in 6 liters using dimensional analysis? Answer First you need to find an equality between cups and Liters. A Google search determined that 1L = 4.22675 US cups. Next, you need to determine the conversion factors from this equality. 1 𝐿 4.22675 US cups = 4.22675 US cups 1 𝐿 = 1 4.22675US cups 1L = 1L 4.22675US cups =1 Because the numerators equal the denominators, the conversion factors = 1, so when you multiply your given volume times the correct conversion factor, you are not changing the volume, just the units for the volume. You need to multiply 6 L times the conversion factor with Liters on the bottom and cups on top. This will cancel the Liters and leave you with cups. 6 𝐿 × 4.22675 US cups 1 𝐿 = 25 US cups 6L× 1L 4.22675US cups =25US cups