The car is moving with the linear velocity of 44.2 m/s.
We have the diameter of car wheels as 65 cm which are spinning at an angular velocity of 136 rad/s.
We have to determine how fast is the car moving or its linear velocity.
Angular velocity is defined as the rate of change of angular position of a rotating body.
[tex]\omega = \frac{d\theta}{dt}[/tex]
According to question, we have -
diameter of car wheels = 65 cm
Therefore, the radius will be = 32.5 cm
Angular velocity = 136 rad/s
We know that -
v = r[tex]\omega[/tex]
v = 32.5 x 136
v = 4420 cm/s
v = 44.2 m/s
Hence, the car is moving with the linear velocity of 44.2 m/s.
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