Mechanics: Circular Motion and Gravitation
Circular Motion and Gravitation: Audio Guided Solution
Problem Set CG3, Question 7:
Avery plays the young David in his church's play on David and Goliath. Avery is practicing with his 0.630-m long sling and finds that he can rotate it in a circle at 8.43 revolutions/second. But if he increases the length to 0.926 m, he is able to rotate at a less impressive 6.28 revolutions/second.
a. Calculate the acceleration of the sling when swung at 8.43 rev/s.
b. Calculate the acceleration of the sling when swung at 6.28 rev/s.
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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