Answer:
4.22 meters per second.
Step-by-step explanation:
First multiply the revs per second by pi:
= 11pi = 34.558.
Now multiply this by the diameter which is 2*6.1 = 12.2 cm = 0.122 m.
Linear velocity = 0.122 * 34.558
= 4.22 m/s.
Linear velocity of the gear in meters per second is 4.22 m/s.
Linear velocity is the measure of “the rate of change of displacement with respect to time when the object moves along a straight path.” It is a vector quantity.
Given
Gear of radius = 6.1 cm
Gear of diameter = [tex]2 \times 6.1 = 12.2 cm[/tex] = 0.122 m
Revolutions per second = [tex]11\pi[/tex] = 34.558
Linear velocity of the gear = diameter × Revolutions per second
Linear velocity = 0.122 × 34.558
= 4.22 m/s
Linear velocity of the gear in meters per second is 4.22 m/s.
Find out more information about linear velocity here
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