A point on the rim of a wheel has a linear speed of 33 cm/s. If the radius of the wheel is 50 cm, what is the angular speed of the wheel in radians per second?

The angular speed of the wheel in radians per second is 0.66.

Step-by-step explanation:

Recall the following statement:

A linear speed (v) is given by,  

                      ...... (1)

Here,   represents the angular speed of the wheel and r represents the  radius of the wheel.

From the given information:

Linear speed (v) = 33 cm/s

Radius of the wheel (r) = 50 cm

Now to find the angular speed in radian per second.

Divide both sides by 50.

Hence, the angular speed of the wheel in radians per second is 0.66.