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2 years ago

What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π.

1 answer:

6 0

The angular velocity is defined by the position angle over time.
Get first the position angle of the pendulum which has the formula of s = rθ where s = arc length, r = radius (or length of the pendulum's string), and θ = position angle. Getting θ, we have θ = s/r = 14.13 ft / 6 ft = 2.355 rad
Thus, the angular velocity is θ/t where t = time; so 2.355 rad / 3 sec = 0.785 rad/sec
Hope this helps.

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3 years ago

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10. Jan purchased 140 shares of stock in the ABC Company at a price of $18.75 per share. During the

andre [41]

$\bold{\huge{\orange{\underline{ Solution }}}}$

$\bold{\underline{ Given :- }}$

Jan purchased 140 shares of stock in ABC company at a price of $18.75 per share
During the next 3 days, the value of share declined by $1.00 , $1.75 and $1.50

$\bold{\underline{ To \: Find :- }}$

We have to find the value of a share of ABC stock at the end of 3 days

$\bold{\underline{ Let's \: Begin :- }}$

According to the question,

Cost of 1 share of ABC company = $18.75

Therefore, 

Cost of 140 shares purchased by Jan in the ABC company

$\sf{ = 140 × 18.75 }$

$\sf{ = 2625\: dollars }$

Now, 

For next 3 days, the value of share declined

$\sf{ = (1 + 1.75 + 1.50)dollars }$

$\sf{ = 4.25 \: dollars }$

Therefore, 

The value of shares after 3 days will be

$\bold{ = }{\bold{\frac{2625 - 4.25}{ 140}}}$

$\bold{ = }{\bold{\frac{ 2620.75}{ 140}}}$

$\bold{\red{ = 18.75\: dollars}}$

Hence, The value of share after 3 days will be $18.75 .

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2 years ago

1 What is the universe made of? ...

makvit [3.9K]

1. big planets and carbon dioxide

2. when god sent adam (the first human being) to earth and had a female with him they got married and gave birth to children and the children marry each other and so on.

3. yes we're the only alive humans within this universe, but outside the universe are god and his worshippers.

4. our human-shaped bodies are the way we feel, hear, look, and do lots more things!

5. when someone feels unlike normal.

6. to feel there's a side of u that can do the impossible.

7. things were passed down from generations so it's possible that "stuff" can be made back when adam came to earth but other than that there was "stuff" even before humanity.

8. yes

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2 years ago

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Aleks04 [339]

Answer:

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2 years ago

I need help with this! Quick ASAP?

sp2606 [1]

Answer:

a) F

b) B, E, D

Step-by-step explanation:

a) The segment with the greatest gradient has the largest change in y-values per unit change in x-values

From the given option, the rate of change of the y to the x-values of B = the gradient = (4 units)/(2 units) = 2

The gradient of F = (-3units)/(1 unit) = -3

The gradient of A = 4/4 = 1

The gradient of C = -2/5

The gradient of D = 2/6 = 1/3

The gradient of E = 3/4

The segment with the greatest gradient is F

b) The steepest segment has the higher gradient

From their calculated we have;

The gradient of segment B = 2 therefore, B is steeper than E that has a gradient of 3/4, and E is steeper than D, as the gradient of D = 1/3

Therefore, we have;

B, E, D.

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2 years ago