.
A truck with 48-in.-diameter wheels is traveling at 50 mi/h.
a.) Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes:
b.) How many revolutions per minute do the wheels make?
~~~~~~~~~~~~~~~~~
1 mile = 5280 feet = 5280*12 inches = 63360 inches.
The wheel circumference is inches = 3.14159265*48 inches = 150.7964472 inches.
The number of revolutions of the wheel per minute is rpm = = 350.1408752.
The angular velocity = = = 2200 radians per minute.
Solved.
The formulas are self-explanatory.
------------------
When you solve such problems, always remember, that such problems are EXTREMELY SIMPLE
and the cost of them is 3 - 4 lines of the text, no more.
In other words, it should be done in 3 - 4 lines.
If it is more than 3 - 4 lines, it means that you do something wrong
(= you do something which is NOT NECESSARY).
//////////////////
To learn the subject on conversion units, look into the lessons
- Units conversion examples
- Converting feet to meters, inches to centimeters, miles to kilometers and vice versa
- Converting speed units: miles per hour to kilometers per hour and vice versa
- Converting measures of volume: cubic feet and cubic meters
- Converting liquid volume measures: liters, gallons, and barrels
in this site.
Learn from there all you need to know - once and forever.
Consider these lessons as your textbook, handbook, guidebook, tutorials
and free of charge home teacher, who is always and everywhere with you - to help and to teach.