Introduction to RAD (Rapid Application Development)

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    Bicycle Speed
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SUMMARY

The discussion centers on calculating the speed of a bicycle with tires having a radius of 13 inches, turning at a rate of 200 revolutions per minute (rev/min). The calculated speed is approximately 15.5 miles per hour (mi/hr). The participants confirm that "rev" is a dimensionless unit, which simplifies the calculations. The formula used incorporates conversions from inches to feet and miles, demonstrating the importance of unit conversion in speed calculations.

PREREQUISITES
  • Understanding of basic geometry, specifically the circumference of a circle
  • Familiarity with unit conversion techniques (inches to feet, feet to miles)
  • Knowledge of angular motion and revolutions per minute (rev/min)
  • Basic algebra for manipulating equations and units
NEXT STEPS
  • Learn about the relationship between linear speed and angular speed in physics
  • Explore advanced unit conversion methods for different measurement systems
  • Study the concept of dimensional analysis to verify equations
  • Investigate the principles of Rapid Application Development (RAD) in software engineering
USEFUL FOR

Students in physics or engineering, educators teaching unit conversions, and anyone interested in understanding the relationship between rotational motion and linear speed.

karush
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The tires of a bicycle have radius of $13 \text{ in}$ and are turning at a rate of
$\displaystyle\frac{200\text{ rev}}{\text{min}}$

How fast is the bicycle traveling in
$\displaystyle\frac{\text{mi}}{\text{hr}}$

well my try on this is.

$
\displaystyle 26\pi\text{ in }
\cdot
\frac{200\text{ rev}}{\text {min}}
\cdot
\frac{\text {ft}}{12\text{ in}}
\cdot
\frac{\text {mi}}{5280\text{ ft}}
\cdot
\frac{60\text { min}}{\text{ hr}}
\approx\frac{15.5\text { mi}}{\text{ hr}}
$
no answer given so hope this is it..:cool:
assume "rev" not a unit measure but doesn't cancel out so its not carried thru..
 
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Re: speed of a Bicycle

karush said:
The tires of a bicycle have radius of $13 \text{ in}$ and are turning at a rate of
$\displaystyle\frac{200\text{ rev}}{\text{min}}$

How fast is the bicycle traveling in
$\displaystyle\frac{\text{mi}}{\text{hr}}$

well my try on this is.

$
\displaystyle 26\pi\text{ in }
\cdot
\frac{200\text{ rev}}{\text {min}}
\cdot
\frac{\text {ft}}{12\text{ in}}
\cdot
\frac{\text {mi}}{5280\text{ ft}}
\cdot
\frac{60\text { min}}{\text{ hr}}
\approx\frac{15.5\text { mi}}{\text{ hr}}
$
no answer given so hope this is it..:cool:
assume "rev" not a unit measure but doesn't cancel out so its not carried thru..

Yep. That is it.
And indeed, "rev" is not a unit measure - it's dimensionless.
Or if you want, you have $2\pi \cdot 13 \text{ in/rev}$, making it cancel out nicely.
 
Re: speed of a Bicycle

I like Serena said:
Yep. That is it.
And indeed, "rev" is not a unit measure - it's dimensionless.
Or if you want, you have $2\pi \cdot 13 \text{ in/rev}$, making it cancel out nicely.

cool tip..

I am going to start another thread with one that is:confused: to me. I don't understand RAD...
 

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