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!
Answer:
Step-by-step explanation:
Given
Represent point A as thus;
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
Then, y is negated to give A'
Answer:
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Answer:
$2.5
Step-by-step explanation:
Number of pounds of banana needed = 5 pounds
Cost per pound of banana = 0.50
To solve using place value blocks :
Ignoring the decimal in the cost per pound:
We can first take the product of 5 (Number of pounds of banana) and take cost per pound as 5. Since it is easier to make direct multiplication without decimal.
5 * 5 = $25
Now we can add the one decimal point (in the cost per pound) to our result
Then we have $2.5
Hence, total cost = $2.5
Answer:
B) Vertex (1,2), maximum
Step-by-step explanation:
First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a <u>maximum</u> value.
The maximum is the point that has the greatest y value. We can see that the greatest y value is at 
. Going down two units from that spot, we can see that the x value is at 
. We can plug those into the vertex form, 
. By plugging in we get the point 
.
