- #31
- 22,820
- 14,875
The way of understanding why radians have no dimension is to look at their definition in terms of arc-length (length) divided by radius (length).verty said:
Differentiation with units- Related Rates problem
- Thread starter opus
- Start date
Click For Summary
The discussion revolves around a related rates problem involving a spherical balloon being filled with air at a constant rate of 2 cm³/sec. Participants clarify the differentiation of the volume function and the treatment of units during the process. It is noted that when differentiating volume with respect to time, the units of cm³/s should be maintained, though some confusion arises from their omission in the text. The conversation emphasizes the importance of consistent unit management throughout calculations, with differing opinions on whether to carry units through the entire problem or to simplify for clarity. Ultimately, the discussion highlights the need for clear communication regarding units in mathematical and physical contexts.
Similar threads
- · Replies 4 ·
- · Replies 17 ·
- · Replies 3 ·
- · Replies 1 ·