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Using some basic properties from physics and some small angle approximations, one can quickly arrive at the formula
T=2π√(L/g)
Where T is the period of a pendulum in seconds, L is its length in meters, and g is the acceleration due to gravity (9.81m/s²). If you square both sides of this equation, you can quickly derive that
T²=4π²*L/g
Then, if you rearrange this so that L is alone on the left hand side, you will find that
L=g*T²/(4π²)
The slope of this line is everything that is multiplying the T² term, or just g/(4π²).
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What is the relationship between the period and the lengthof a pendulum using logarithms?
The relationship between log(period) and log(length) is linear, with slope 0.5 and intercept log(2*pi/sqrt(g))
How do you find the length of a leg on a right triangle when one leg and the slope of the hypotenuse is given?
Use tangent. Your equation will be tan(slope of hypotenuse) = opposite side / adjacent side. it's easier if you just do A squared plus b squared equals c squared. Then subtitute the numbers gived in.
How do you figure out the IMA of a inclined plane?
length of slope/ height of slope
How do you find area of a right triangle with leg having a length of 6 and l?
The Following Formula Is used to determine the area of any triangle. "Height" multiplied by "BASE" divided by two = area, more simply (Height x Base)/2=Area So in this Equation (6x1)/2=3 which is the area. With the length 6 and the length 1 being at a 90 degree angle With right triangles "only" you can determine the length of the slope using Triangulation Also known as the Pythagorean Theorem ( "a" squared x 'B' squared = "c" squared
What is a road on a slope?
When determining the measurement of slope on a road, the equations are for grade (gradient). The formula is grade = (rise ÷ slope length) * 100
