As the gear Rack B is fixed
Therefore
Using the concept of relative velocity
Since the direction of Both are same, we have represented them with the same unit vectors.Negative sign implies that the direction of velocity is to the left or towards negative X-axis
Magnitude of VC is given by
VC = 2 * r * w
Since 1 feet = 0.3048 metres
r= 0.5 feet = 0.5*0.3048 metres = 0.15 metres
VC = 2 * 0.15 * 4
VC = 1.2 m/s
Velocity of the gear rack C is 1.2 m/s
Correct option is Option B
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