Convert 55mph to Millifurlongs per Microfortnight

  • Thread starter Thread starter shortman12012
  • Start date Start date
Click For Summary

Discussion Overview

The discussion revolves around converting a speed limit of 55 miles per hour into millifurlongs per microfortnight, involving unit conversions related to distance and time. The context is primarily homework-related, focusing on the application of unit conversion techniques.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant outlines an initial attempt at the conversion but indicates that their result is incorrect, seeking clarification on the process.
  • Another participant suggests writing the units as fractions to facilitate cancellation and correctly convert from miles per hour to millifurlongs per microfortnight.
  • A follow-up post proposes a continuation of the conversion process, including the necessary units to achieve the desired result.
  • Subsequent responses confirm the proposed conversion steps and express satisfaction with the assistance received.

Areas of Agreement / Disagreement

Participants generally agree on the steps needed for the conversion, with no significant disagreement present in the discussion.

Contextual Notes

The discussion does not address any potential limitations or assumptions in the conversion process, nor does it explore any alternative methods for achieving the conversion.

Who May Find This Useful

Students or individuals interested in unit conversions, particularly in the context of physics or mathematics homework, may find this discussion beneficial.

shortman12012
Messages
13
Reaction score
0

Homework Statement


The speed limit on a particular stretch of road is 55 miles per hour. Express this speed limit in millifurlongs per microfortnight. A furlong is 1/8 mile, and a fortnight is a period of 2 weeks.


Homework Equations





The Attempt at a Solution


so what I tried doing was taking

55 mph ( 8furlong/1mile ) ( 336hours/1fortnight ) = 147840

8 furlongs are in one mile and 336hours are in 1 fortnight. However the answer that I got isn't correct so I need to know what I'm doing wrong please.
 
Physics news on Phys.org
shortman12012 said:

Homework Statement


The speed limit on a particular stretch of road is 55 miles per hour. Express this speed limit in millifurlongs per microfortnight. A furlong is 1/8 mile, and a fortnight is a period of 2 weeks.


Homework Equations





The Attempt at a Solution


so what I tried doing was taking

55 mph ( 8furlong/1mile ) ( 336hours/1fortnight ) = 147840

8 furlongs are in one mile and 336hours are in 1 fortnight. However the answer that I got isn't correct so I need to know what I'm doing wrong please.

What you need to do is change mi/hr units to millifurlong/microfortnight units. It's helpful to write the units involved as fractions, because you want the units you don't want to cancel, so that you end up with the units you do want. For that reason I wrote mph as mi/hr.

Each of the expressions you have above in parentheses is a unit, hence is equal to 1. You can multiply by units all you want without changing the basic value of what you start with.

55 (mi/hr) * 8 (furlong/mi) * 1000 (millifurlong/furlong) * ...

The expression above converts miles per hour to millifurlongs per hour. Notice how the mi units cancel and the furlong units cancel. Tack on a few more units to get to millifurlongs/microfortnight.
 
if i take this and continue would the rest be
55 (mi/hr) * 8 (furlong/mi) * 1000 (millifurlong/furlong) * 336 (hours/fortnight) * 10^-6 (fortnight/microfortnight)?
 
ahh thank you, that's the correct answer, thank you for your help :)
 

Similar threads

  • · Replies 21 ·
Replies
21
Views
2K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
9K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K