Mechanics: Circular Motion and Gravitation
Circular Motion and Gravitation: Audio Guided Solution
Problem Set CG6, Question 3:
Tyrone participates in the hammer throw in track and field. He holds the rope secured to the hammer swings the 3.84-kg hammer in a horizontal circle having a radius of 0.706 m. The hammer has an angular speed of 0.546 revolutions per second before release.
a. What is the linear velocity of the hammer?
b. If the rope has a breaking strength of 78.9 N, then what is the maximum linear velocity that the hammer can have without breaking the rope?
Audio Guided Solution
Habits of an Effective Problem Solver
- Read the problem carefully and develop a mental picture of the physical situation. If necessary, sketch a simple diagram of the physical situation to help you visualize it.
- Identify the known and unknown quantities in an organized manner. Equate given values to the symbols used to represent the corresponding quantity - e.g., m = 61.7 kg, v= 18.5 m/s, R = 30.9 m, Fnorm = ???.
- Use physics formulas and conceptual reasoning to plot a strategy for solving for the unknown quantity.
- Identify the appropriate formula(s) to use.
- Perform substitutions and algebraic manipulations in order to solve for the unknown quantity.
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