# Physics

posted by .

In a labratory experiment, a student measured the period of a swing for a 1 -kg pendulum for varing lengths, as shown below.

Length (m) Period (s)
0.05 0.30
0.20 0.90
0.40 1.30
0.60 1.60
0.80 1.80
1.00 2.00

a.) Deterine the period of a pendulm whose length is 0.25 m.

b.) Now the bob is removed from the pendulum and placed on a spring to form a mass-spring system. What would the spring constant of the spring have to be in order to have the same period as that of the pendulum in part a?

a) Plot a graph of Period (P) vs Length (L) and interpolate. If you plot P vs sqrt L, You should get a very straight line, which will make it easier to accurately interpolate the value of P for L = 0.25 m.

("sqrt" means "square root of").

b) Assume you are trying to match the period for a L = 0.25 m pendulum. Get the value of that period from (a). The, for a spring, set

P = 2 pi sqrt (m/k)

Solve for the spring constant, k.

• Physics -

A helical spring is 59 cm long when a load of 100 N is hung from it and 62 cm long when the load is 120 N. Find its spring constant.

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### 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 seconds. …
2. ### physics

The period of a simple pendulum is measured to be 4.0 seconds in a frame of reference. Which of the following is correct when the period of the pendulum is measured by an observer moving with 0.4 times the speed of the light?
3. ### physics

The period of a simple pendulum is measured to be 4.0 seconds in a frame of reference. Which of the following is correct when the period of the pendulum is measured by an observer moving with 0.4 times the speed of the light?
4. ### physics

The period of a simple pendulum is measured to be 4.0 seconds in a frame of reference. Which of the following is correct when the period of the pendulum is measured by an observer moving with half the speed of the light?
5. ### Physics

A particle of mass m = 3.04kg is suspended from a fixed point by a light inextensible string of length = 1.11m. You are required to determine the relationship between the period of swing and the length of the pendulum. For small angle …
6. ### 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.
7. ### Physics

The period, T, of a pendulum is related to the pendulum's length, L and the constant acceleration of gravity, g, by the equation A student has measured the period of a pendulum for various lengths and wants to linearize the data to …
8. ### Math - Linear Equations

"the period of a pendulum, T (in seconds) varies directly with the square root of the length of the pendulum, L (in centimeters)". Given that a pendulum of length 9cm has a period of 0.63 seconds, find: a) The period of a pendulum …
9. ### wcccd

The period p of a pendulum, or the time it takes for the pendulum to make one complete swing, varies directly as the square root of the length L of the pendulum. If the period of a pendulum is 1.3 s when the length is 2 ft, find the …
10. ### physics

Pendulum A with mass m and length l has a period of T. If pendulum B has a mass of 2m and a length of 2l, how does the period of pendulum B compare to the period of pendulum A?

More Similar Questions