How do you find acceleration due to gravity with length and period?

Section Summary

1. A mass m suspended by a wire of length L is a simple pendulum and undergoes simple harmonic motion for amplitudes less than about 15º.
2. The period of a simple pendulum is T=2π√Lg T = 2 π L g , where L is the length of the string and g is the acceleration due to gravity.

Does the length of a pendulum affect the acceleration?

In fact, the length of the pendulum’s arm affects the acceleration greatly: the longer the arm, the slower the acceleration. To simulate a pendulum more accurately, we divide by that length, in this case armLength .

What is the standard error in acceleration due to gravity?

For example, as a result of a number of measurements we may have a best estimate of the true value for the acceleration due to gravity, g, of 9.9 ms-2 and also be confident that our uncertainty is ± 0.1 ms-2, i.e. g is between 9.8 and 10.0 ms-2.

What is the value of the gravitational acceleration?

9.806

standard acceleration of gravity
Numerical value	9.806 65 m s-2
Standard uncertainty	(exact)
Relative standard uncertainty	(exact)
Concise form	9.806 65 m s-2

How does acceleration due to gravity affect a pendulum?

Force of gravity-This accelerates the pendulum down. The momentum built up by the acceleration of gravity causes the mass to swing in the opposite direction to a height equal to the original position.)

How do you solve a pendulum problem?

solution

1. The period of a simple pendulum is described by this equation. T = 2π√ ℓ g. Make length the subject. ℓ = gT2 4π2
2. Back to the original equation. Length and gravity are given. Period is the goal. T = 2π√ ℓ g. Weaker equatorial gravity in. T = 2π√
3. Repeat. T = 2π√ ℓ g. Stronger polar gravity in. T = 2π√ 0.993621386 m.

What factor affects the period of a pendulum?

The mass and angle are the only factors that affect the period of a pendulum. b. The mass, the angle and the length are the three variables affecting the period.