# PracticeAngular 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:

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:

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.