Linear velocity of the gear in meters per second is 4.22 m/s.
According to the given question.
Radius of gear = 6.1 cm
⇒ Diameter of gear = 2 × 6.1 = 12.2cm = 0.122 m
Revolutions per second = 11π = 11 × 3.14 = 34.558turns
Since, linear velocity is the measure of “the rate of change of displacement with respect to time when the object moves along a straight path.”
Thereofore, the linear velocity of the gear in meters per second is given by
Linear velocity of the gear = diameter × Revolutions per second
⇒ Linear velocity = 0.122 × 34.558
⇒ Linear velocity = 4.22 m/s
Hence, linear velocity of the gear in meters per second is 4.22 m/s.
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