Answer: T = 2π√(I/mgD)
Step-by-step explanation:
where:
m is the mass of the pendulum;
I is the moment of inertia of the mass; and
D is the distance from the center of mass to the point of suspension.
Determine the length of the pendulum. For example, it can be equal to 2 m.
Decide a value for the acceleration of gravity. We will use the Earthly figure of 9.80665 m/s², but feel free to check how the pendulum would behave on other planets.
Calculate the period of oscillations according to the formula above: T = 2π√(L/g) = 2π * √(2/9.80665) = 2.837 s.
Find the frequency as the reciprocal of the period: f = 1/T = 0.352 Hz.
You can also let this simple pendulum calculator perform all calculations for you!
First let's figure out the angle of the green beans section - this would be 360 minus the total of the other two angles:
360 - (98 + 195)
= 360 - 293
= 67°
Now the formula for the circumference of a circle is circumference = πd, but since we have only a section of the circle we need to multiply this by the angle of our section/the sum of angles in a circle, ie.:
Circumference = 12π*(67/360)
= 67π/30
= 7 inch (to the nearest whole number)
Therefor F is the correct answer
Step-by-step explanation:
Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :
It is a quadratic equation. The values of x are :
The smaller number is 4/5 and the larger number is 5/4.
Answer: Choice C)
g(x) = -|2x|
You get this answer by simply sticking a negative out front of the original function. In other words, g(x) = -f(x) or more technically, g(x) = -1*f(x).
The negative will flip every y coordinate from positive to negative (or vice versa)
You'll also use the idea that |2x| = 2|x|. The two can be pulled out since we can say |x*y| = |x|*|y|
So |2*x| = |2|*|x| = 2|x|
