A physics department has a Foucault pendulum, a long-period pendulum suspended f
ID: 1292301 • Letter: A
Question
A physics department has a Foucault pendulum, a long-period pendulum suspended from the ceiling. The pendulum has an electric circuit that keeps it oscillating with a constant amplitude. When the circuit is turned off, the oscillation amplitude decreases by 50% in 28 minutes. What is the pendulums time constant? How much additional time elapses before the amplitude decreases to 25% of its initial value?A physics department has a Foucault pendulum, a long-period pendulum suspended from the ceiling. The pendulum has an electric circuit that keeps it oscillating with a constant amplitude. When the circuit is turned off, the oscillation amplitude decreases by 50% in 28 minutes. What is the pendulums time constant? How much additional time elapses before the amplitude decreases to 25% of its initial value?
A physics department has a Foucault pendulum, a long-period pendulum suspended from the ceiling. The pendulum has an electric circuit that keeps it oscillating with a constant amplitude. When the circuit is turned off, the oscillation amplitude decreases by 50% in 28 minutes. A physics department has a Foucault pendulum, a long-period pendulum suspended from the ceiling. The pendulum has an electric circuit that keeps it oscillating with a constant amplitude. When the circuit is turned off, the oscillation amplitude decreases by 50% in 28 minutes. A physics department has a Foucault pendulum, a long-period pendulum suspended from the ceiling. The pendulum has an electric circuit that keeps it oscillating with a constant amplitude. When the circuit is turned off, the oscillation amplitude decreases by 50% in 28 minutes. What is the pendulums time constant? How much additional time elapses before the amplitude decreases to 25% of its initial value?
What is the pendulums time constant? How much additional time elapses before the amplitude decreases to 25% of its initial value?
Explanation / Answer
Time constant:
Time constant (T) = t (in minutes) / ln(2) .... 28 / ln(2) = 40.395 minutes
When amplitude decreases to 25% of its initial value:
t = T
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