Question

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?

Answer 1

Answer:

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,  

$v=\omega \times r$                       ...... (1)

Here,  $\omega$ 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.

$33 =50 \times \omega$

Divide both sides by 50.

$0.66 rad/sec= \omega$

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