A mass hanging from a spring oscillates with a period of . Suppose the mass and spring are swung in a horizontal circle, with the free end of the spring at the pivot. What rotation frequency, in rpm, will cause the spring's length to stretch by ?
Rotational frequency in rpm is .
The period of oscillation of the mass is,
A radial force acting toward the path's center of curvature is required for the mass to travel in a uniform circular motion.
In this situation, the radial force is the force exerted by the spring on the mass.
The net force on the mass is,
Substitute all values,
converted to rpm,
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