a gear of radius 0.4m and a gear of radius 1.2m are connected by a belt. if the smaller gear is rotating with an angular velocity of 10 rad/s,
find the angular velocity of the larger gear.
here is the formula: v = rw
a. what can be said about the linear velocity of a point on the edge of gear 1 and the velocity of the belt?
b. because it is the movement of the belt that causes gear 2 to turn, what can be said about the linear velocity of a point on the outside of gear 2?
c. using the linear velocity of the points on the outside of gear 2, found in step b, and the radius of gear 2, find the gear's angular velocity.
d. what is the relationship between the angular velocity of gear1 and the angular velocity of gear 2?
The Attempt at a Solution
I cannot discover other gear radius or advance through the problem statement, apoligies for my lack of knowledge on this one..