Answer :

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,  

[tex]v=\omega \times r[/tex]                       ...... (1)

Here,  [tex]\omega[/tex] 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.

[tex]33 =50 \times \omega[/tex]

Divide both sides by 50.

[tex]0.66 rad/sec= \omega[/tex]

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

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