14.2.3 - Units and Interpretation
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Practice Questions
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What is natural frequency?
💡 Hint: Think about how often a structure vibrates.
What units are used to measure natural frequency?
💡 Hint: Consider frequency in terms of cycles.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for natural frequency in a single-degree-of-freedom system?
💡 Hint: Recall the variables involved in the formula.
True or False: A higher mass will increase the natural frequency.
💡 Hint: Think about the impact of weight on vibrations.
1 more question available
Challenge Problems
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A structure has stiffness k = 3000 N/m and mass m = 1500 kg. Calculate the natural frequency and discuss the implications of this frequency in earthquake scenarios.
💡 Hint: Recall the formula f = (1/2π) * √(k/m).
Consider two buildings: Building A with a natural frequency of 5 Hz and Building B with a natural frequency of 2 Hz. Discuss the potential damage each might sustain during an earthquake of 3 Hz.
💡 Hint: Consider how matching frequencies can amplify destructive forces.
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