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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
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))
What formula is radical radius squared plus height squared?
It is the length of the slope of a right cone.
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.
What kind of graph would result if the period of the pendulum T were graphed as a function of the square root of the length of the pendulum?
With a simple pendulum, provided the angular displacement is less than pi/8 radians (22.5 degrees) it will be a straight line, through the origin, with a slope of 2*pi/sqrt(g) where g is the acceleration due to gravity ( = 9.8 mtres/sec^2, approx). For larger angular displacements the approximations used in the derivation of the formula no longer work and the error is over 1%.
How do you figure out the IMA of a inclined plane?
length of slope/ height of slope
What does the slope of an acceleration-position graph indicate?
Meters/seconds squared
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
Where is acceleration represented on a distance verses time squared graph?
In general, nowhere, because acceleration is the second derivative of distance with respect to time. However, in the special case of a constant acceleration, the acceleration will be twice the slope of the line, since distance = 0.5 * time 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
What does the slope of a wavelength vs period graph tell you?
The slope of a wavelength vs period graph represents the speed of the wave. A steeper slope indicates a higher speed, while a gentler slope indicates a slower speed.
What is a road on a slope called?
When determining the measurement of slope on a road, the equations are for grade (gradient). The formula is grade = (rise ÷ slope length) * 100
What is the slope of the tangent line at x squared plus 2x?
Differentiate term by term. d/dx[X2 + 2X) = 2X + 2 slope(m) = 2 ------------------
