# College Algebra

The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pendulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long.

1. 👍
2. 👎
3. 👁
1. Since the second pendulum is 1/4 as long as the first pendulum, the period will be sqrt(1/4) or 1/2 as long as the first pendulum. That would be 2 seconds.

1. 👍
2. 👎
2. 4.(3)^1/2
6.92

1. 👍
2. 👎

## Similar Questions

1. ### Physics

A pendulum clock can be approximated as a simple pendulum of length 1.03 m and keeps accurate time at a location where g = 9.82 m/s2. In a location where g = 9.77 m/s2, what must be the new length of the pendulum, such that the

2. ### Math-Pre Cal & Trig

A pendulum swings uniformly back and forth, taking 2 seconds to move from the position directly above point A to the position directly above point B. . . . . _______________._______________ A . B . (SIMPLE DRAWING) The distance

3. ### physics

a simple pendulum has a period of 4.2sec. when the pendulum is shortened by 1 m the period is 3.7s. what is the acceleration of free fall g and the original length of the pendulum?

4. ### Math

A pendulum of Length L cm has time period T seconds. T is directly proportional to the square root of L. The length of the pendulum is increased by 40%. What is the percentage increase in the time period? ???????? Multiplier for

1. ### physics 2

A simple pendulum is 8.00 m long. (a) What is the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 3.00 m/s2? (b) What is the period of small oscillations for this pendulum if

2. ### math

The formula T=2*pi*sqrt[L/g] gives the period of a pendulum of length l feet. The period P is the number of seconds it takes for the pendulum to swing back and forth once. Suppose we want a pendulum to complete three periods in 2

3. ### Physics

The oscillation of a single pendulum is 2.05s. What is the period of another simple pendulum which makes 300 vibration in the time it takes the first pendulum to make 200 vibrations?

4. ### Physics

A simple pendulum suspended in a rocket ship has a period To. Assume that the rocket ship is near the earth in a uniform gravitational field. Determine for each of the following statements whether it is correct or incorrect. If

1. ### Physics

The length of a simple pendulum is 0.72 m, the pendulum bob has a mass of 305 grams, and it is released at an angle of 10° to the vertical. a) With what frequency does it vibrate? Assume SHM. (b) What is the pendulum bob's speed

2. ### physics

¬Calculate the period of oscillation of a simple pendulum of length 1.8 m, with a bob of mass 2.2 kg. What assumption is made in this calculation? (g = 9.8 m s - 2) If the bob of this pendulum is pulled aside a horizontal

3. ### Physics

A simple pendulum consists of a ball connected to one end of a thin brass wire. The period of the pendulum is 1.45 s. The temperature rises by 142 C°, and the length of the wire increases. Determine the change in the period of

4. ### physics

You have a 0.35 long pendulum attached to the roof inside your car. Your car is travelling at a speed of 1.0 m/s when it hits a concrete wall and stops immediately. If the pendulum is free to swing, to what maximum angle to the