A simple pendulum has a period of 2 s for small amplitude oscillations.(adsbygoogle = window.adsbygoogle || []).push({});

1. The length of the pendulum is most nearly

(A) l/6 m

(B) ¼ m

(C) ½ m

(D) 1 m

(E) 2 m

I used the period of a pendulum equation, did some algebra, and got D as the answer. Is this correct?

2. Which of the following equations could represent the angle θ that the pendulum makes with the vertical as a function of time t?

(A) θ = θ_{max}sin (π/2)t

(B) θ = θ_{max}sin πt

(C) θ = θ_{max}sin 2πt

(D) θ = θ_{max}sin 4πt

(E) θ = θ_{max}sin 8πt

I don't get this one. I'm assuming it's C because 2π = ω in a lot of equations and maybe it's true here too? Can someone please explain this?

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# Simple pendulum equations

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