Gear A rotates clockwise at a constant angular velocity, driving a second smalle
ID: 2295050 • Letter: G
Question
Gear A rotates clockwise at a constant angular velocity, driving a second smaller gear B without slipping. (The gear teeth are not shown but have the same size and spacing.) The radius rA for gear A is twice as large as the radius rB of gear B.
(A.) Is the magnitude of the angular velocity of gear A greater than, less than, orequal to the magnitude of the angular velocity of gear B?
Explain
(B). Is the magnitude of the linear velocity of a point on the edge of gear A greater than, less than, or
equal to the magnitude of the linear velocity of a point on the edge of gear B? Explain:
(C) Is the total number of gear teeth for gear A greater than, less than, or equal tothe total number of gear teeth for gear B?
Explain:
(D.) Is the direction of the angular velocity of gear B the same as gear A,opposite to gear A, or is it impossible to compare the direction of the angular velocities of the two gears?
Explain:
Explanation / Answer
A) angular vel of gear A is less than B because velocity of both gear at point of contact is same and angular vel= vel / radius.
B) magnitude of the linear velocity of a point on the edge of gear A equal to the magnitude of the linear velocity of a point on the edge of gear B as both the gear turn by same amount.
C) total number of gear teeth for gear A greater than the total number of gear teeth for gear B as radius of b is small thus its circumference is also small and we take case of same size of teeth.
D)opposite as both the gear are adjacent to each other and movement at point of contact is in same direction thus making gear b turn in anti clockwise direction.
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