Practice Angular & Linear Speeds 1

puremath

New member
We are given the rate of rotation of a wheel as well as its radius. In each case, determine the following:

A. the angular speed, in units of radians/sec;

B. the linear speed, in units of cm/sec, of a point on the circumference of the wheel;

C. the linear speed, in cm/sec, of a point halfway between the center of the wheel and the circumference.

15 rev/sec; r = 20 cm
 

MarkFL

La Villa Strangiato
Math Helper
A. [MATH]\omega=x\frac{\text{rev}}{\text{s}}=x\frac{\text{rev}}{\text{s}}\cdot\frac{2\pi\text{ rad}}{1\text{ rev}}=2\pi x\frac{\text{rad}}{\text{s}}[/MATH]
B. [MATH]v=r\omega=rx\frac{\text{rev}}{\text{s}}[/MATH]
C. [MATH]v=\frac{r}{2}\omega=\frac{rx}{2}\frac{\text{rev}}{\text{s}}[/MATH]
 

puremath

New member
A. [MATH]\omega=x\frac{\text{rev}}{\text{s}}=x\frac{\text{rev}}{\text{s}}\cdot\frac{2\pi\text{ rad}}{1\text{ rev}}=2\pi x\frac{\text{rad}}{\text{s}}[/MATH]
B. [MATH]v=r\omega=rx\frac{\text{rev}}{\text{s}}[/MATH]
C. [MATH]v=\frac{r}{2}\omega=\frac{rx}{2}\frac{\text{rev}}{\text{s}}[/MATH]

Just a reminder that I only do math on this site on my days off. I am currently seeking a new place to live. Searching is taking up most of my time.
 
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