Solve the Problem $= 2 \pi \sqrt { 3.55555556 } \mathrm { sec }$

question 132

Multiple Choice

Solve the problem.
-Determine the period and frequency of oscillation when a pendulum of length 9 feet is released after being displaced 2 radians. Round constants to 8 decimal places, if necessary.

• A) Period \(= 2 \pi \sqrt { 3.55555556 } \mathrm { sec }\), frequency \(= \frac { 1 } { 2 \pi } \sqrt { 0.28125 }\) cycles per sec
• B) Period \(= 9 \pi \mathrm { sec }\), frequency \(= \frac { 1 } { 9 \pi }\) cycles per sec
• C) Period \(= \frac { \pi } { 9 }\) sec, frequency \(= \frac { 9 } { \pi }\) cycles per sec
• D) Period \(= 2 \pi \sqrt { 0.28125 }\) sec, frequency \(= \frac { 1 } { 2 \pi } \sqrt { 3.55555556 }\) cycles per sec

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Definitions:

Common Iliac Artery

A large artery in the pelvis that divides into the internal and external iliac arteries, supplying blood to the lower limbs.

Popliteal Artery

The artery located behind the knee, which supplies blood to the knee joint and muscles in the thigh and calf.

Posterior Tibial Artery

A major artery of the lower leg, supplying blood to the posterior compartment of the leg and plantar surface of the foot.

Gonadal Artery

An artery that supplies blood to the gonads; the testicular artery in males and the ovarian artery in females, crucial for reproductive organ function.