Practice Angular and Linear Speeds 2

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.

1260°/sec; r = 60 cm
 

MarkFL

La Villa Strangiato
Math Helper
A. Use the fact that:

[MATH]1=\frac{\pi\text{ rad}}{180^{\circ}}[/MATH]
B. Using the arc-length:

[MATH]s=r\theta[/MATH]
And linear velocity is the time rate of change of the arc-length and \(\omega\) is the angular speed:

[MATH]v=\frac{ds}{dt}=r\omega[/MATH]
C. Just cut the radius in half.
 

puremath

New member
A. Use the fact that:

[MATH]1=\frac{\pi\text{ rad}}{180^{\circ}}[/MATH]
B. Using the arc-length:

[MATH]s=r\theta[/MATH]
And linear velocity is the time rate of change of the arc-length and \(\omega\) is the angular speed:

[MATH]v=\frac{ds}{dt}=r\omega[/MATH]
C. Just cut the radius in half.

Thanks. Hard to do math or anything else while anxiously seeking a new place to live, Mark. Tired of dealing with stupidity at home. Do I apply the same steps for Angular and Linear Speeds 3?
 

MarkFL

La Villa Strangiato
Math Helper
I don't know. I'd have to go find that thread...
 

puremath

New member
I don't know. I'd have to go find that thread...

It is here in the trig forum posted on the same day as the other 3.
 

MarkFL

La Villa Strangiato
Math Helper
Linking to it would be more convenient for me, or even better ask about that topic within the topic itself.
 
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