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Calculus/Angular Velocity

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Expert: Alon Mandes - 12/4/2008


Question
A truck driver travels at 60 miles per hour.  The truck tires have a diameter of 26 inches.  What is the angular velocity of the wheels in revolutions per minute?

Answer
Let's 1st converse units :
1 [inch] = 0.0254 [meter].
1 [mile] = 1609.334 [meter].
60 [mile/hour] = 60 * 1609.334 / 60 = 1609.334 [meter/minute].
Now, let's suppose that the wheel made N revolutions in 1 minute,
& that caused the car to travel in 1609.334 [meter/minute].
The relation is :
πDN=v ("Where D is the diameter , N is the number of revolutions
        in 1 minute & v is the linear velocity of the car").
So, N=v/πD = 1609.334/(π*26*0.0254) = 775 [revolution/min]

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Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

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