A $1024 \mathrm{~Hz}$ tuning fork is dangled at the end of a string such that its center of mass is $1.2 \mathrm{~m}$ below the point at which the other end of the string is attached to door frame, making a pendulum of sorts. The tuning fork may be treated as a point mass for the purposes of this problem. The pendulum is brought to a maximum angle and released. If the range of frequencies heard by an observer standing in the plane of the pendulum's motion is $1020-1028 \mathrm{~Hz}$, what is the angle to which the pendulum was raised? The speed of sound is $340 \mathrm{~m} / \mathrm{s}$.
A) $17^{\circ}$
B) $4.3^{\circ}$
C) $18^{\circ}$
D) $46^{\circ}$
E) $22^{\circ}$

Question

Quizplus · Accepted Answer

The Answer of A $1024 \mathrm{~Hz}$ tuning fork is dangled at the end of a string such that its center of mass is $1.2 \mathrm{~m}$ below the point at which the other end of the string is attached to door frame, making a pendulum of sorts. The tuning fork may be treated as a point mass for the purposes of this problem. The pendulum is brought to a maximum angle and released. If the range of frequencies heard by an observer standing in the plane of the pendulum's motion is $1020-1028 \mathrm{~Hz}$, what is the angle to which the pendulum was raised? The speed of sound is $340 \mathrm{~m} / \mathrm{s}$.
A) $17^{\circ}$
B) $4.3^{\circ}$
C) $18^{\circ}$
D) $46^{\circ}$
E) $22^{\circ}$

A 1024 Hz1024 \mathrm{~Hz}1024 Hz Tuning Fork Is Dangled at the End of a String

A $1024 \mathrm{~Hz}$ Tuning Fork Is Dangled at the End of a String