Math Problem Statement
A 0.1 kg ball on the end of a very lightweight string is moving in circular motion as a conical pendulum. The length L of the string is 1.70 m, the angle θ is 37.0 degrees, and the ball completes one revolution every 2.77 seconds. What is the acceleration of the ball?
Solution
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Math Problem Analysis
Mathematical Concepts
Circular Motion
Centripetal Force
Conical Pendulum
Formulas
Centripetal acceleration: a = v^2 / R
Velocity: v = 2πR / T
Radius of motion: R = Lsinθ
Theorems
Newton's Second Law of Motion
Suitable Grade Level
Undergraduate Physics or High School Physics (Grades 11-12)
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