A bicycle chain is wrapped around a rear sprocket (r = 0.037 m) and a front sprocket (r = 0.06 m). The chain moves with a speed of 1.2 m/s around the sprockets, while the bike moves at a constant velocity. Find the magnitude of the acceleration of a chain link that is in contact with each of the following. a.) the rear sprocket...............m/s2 b.) neither sprocket.................. m/s2 c.) the front sprocket ................ m/s2
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
A bicycle chain is wrapped around a rear sprocket (r = 0.037 m) and a front sprocket (r = 0.06 m). The chain moves with a speed of 1.2 m/s around the sprockets, while the bike moves at a constant velocity. Find the magnitude of the acceleration of a chain link that is in contact with each of the following.
a.) the rear sprocket...............m/s2
b.) neither sprocket.................. m/s2
c.) the front sprocket ................ m/s2
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