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Alex Ar [27]
2 years ago
9

PLEASE HELP I ONLY HAVE 12 MINUTES!! The pendulum of the grandfather clock shown below swings at a maximum angle of 25 degrees.

The arc length of the path of a full pendulum swing measures 1/2n feet. How long, in feet, is the pendulum?

Mathematics
2 answers:
Vaselesa [24]2 years ago
7 0

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!

telo118 [61]2 years ago
5 0
Give me brainliest pls
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The distance between the coordinates in meters is 138.92m

Using the distance formula to calculate the distance between the coordinates as shown:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\

Given the coordinate points C(-5, 8) and V (7, 1)

Substitute the given coordinates into the formula

D = \sqrt{(7+5)^2+(1-8)^2} \\D = \sqrt{(12)^2+(-7)^2} \\D = \sqrt{144+49} \\D = \sqrt{193} \\D=13.892 units

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D = 13.892 * 10

D = 138.92 meters

Hence the distance between the coordinates in meters is 138.92m

Learn more here: brainly.com/question/7245260

5 0
2 years ago
Jasmine bought a pennant (triangle) of the favorite baseball team. If the base is 16 inches and height is 24 inches, how much ar
KATRIN_1 [288]
D. 192in^2

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So we just need to plug in our values into the equation, so the equation would look like a= (16)*(24)*1/2. 16 times 24 would then give you 384, you could either divide by 2 or multiply by 0.5 to get the next answer, as long as your HALVING the answer.

So we have our bh value so now we can multiply by 1/2 which will give us 384*1/2 which leaves us with 192.

I have also attached a photo of doing a longer(ish) way than this, that also proves that this equation works. Either one will provide you an answer.

6 0
3 years ago
The grasshopper jumps either one block to the north, or one block to the west. He needs to reach the point that is located four
Pavel [41]

Answer:

The number of ways the grasshopper can reach the desired destination are 9 ways

Step-by-step explanation:

The directions in which the grasshopper can jump are;

One block north  and one block west

By counting, we have;

The number of possible ways are through blocks

1) 1, 2, 5, 6, 8, 10

2) 1, 2, 5, 6, 8, 9

3) 1, 2, 5, 6, 7, 9

4) 1, 2, 3, 6, 8, 10

5) 1, 2, 3, 6, 8, 9

6) 1, 2, 3, 6, 7, 9

7) 1, 2, 3, 4, 7, 9

8) 15, 14, 16, 12, 11, 10

9) 12, 13, 16, 12, 11, 10

Therefore, there 9 ways the grasshopper can reach the desired destination.

3 0
3 years ago
5,000 lb equals how many tons
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8 0
3 years ago
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