All categories

3 years ago

Suppose that a weight on a spring has initial position s(0) and period P. s(0)= 1in ;p=0.8

1 answer:

4 0

The question is to find a s function given by s(t) = a cos(ωt) that models the displacement of the weight.

Answer:
The function is given as:
s(t) = a cos(ωt)
This means that to get the exact function modelling the given situation, we will have to get values for ω and a.

1- getting the value of ω:
period = 0.8 sec
frequency = 1/period = 1/0.8 = 5/4 hz
ω = 2πf = 2*π*5/4 = 2.5π rad/sec
The function now became:
s(t) = a cos(2.5πt)

2- getting the value of a:
We are given that:
s(0) = 1 in
This means that:
s(t) = a cos(2.5πt)
1 = a cos(2.5π*0)
1 = a cos(0)
a = 1

Therefore, the function is:
s(t) = cos(2.5πt)

To get the value of the function at any instance (t), substitute with the value of "t" in the above function and get the corresponding s(t)

Hope this helps :)

You might be interested in

The dot plots below show the scores for a group of students for two rounds of a quiz: Two dot plots are shown one below the othe

miskamm [114]

Answer:

The inference that can be made using the dot plot is:

The range of round 1 is greater than the round 2 range.

Step-by-step explanation:

Round 1:

Score Frequency

1 0

2 2

3 3

4 2

5 1

Hence, the minimum score of Round 1 is: 2

maximum score is: 5

Hence, Range=Maximum value-Minimum score

=5-2

Similarly, Round-2

Score Frequency

1 0

2 0

3 0

4 4

5 4

Hence, the minimum score of Round 1 is: 4

maximum score is: 5

Hence, Range=Maximum value-Minimum score

=5-4

The scores of round 2 are higher than round-1.

Since round 2 have a higher frequency for higher scores as compared to round-1.

Hence, Range of round 1 is greater than the range of Round-2.

6 0

3 years ago

Read 2 more answers

The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81 degrees. What is the ap

GuDViN [60]

Answer:

A. 5.19 units

Step-by-step explanation:

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

$\theta$ = 81°
Arc length = 7.34 units

Substituting given values into the equation and solving for r:

$\implies 7.34=2 \pi r\left(\dfrac{81^{\circ}}{360^{\circ}}\right)$

$\implies 7.34=r\left(\dfrac{18 \pi}{40}\right)$

$\implies 7.34 \cdot 40=18 \pi r$

$\implies 293.6=18 \pi r$

$\implies r=\dfrac{293.6}{18 \pi}$

$\implies r=5.19 \sf \: units \:(2\:dp)$

7 0

2 years ago

Read 2 more answers

How to graph 2y-10x=20

aksik [14]

First, put it into slope/intercept form so you can see what you've got.

"Slope/intercept form" is  y = everything else .

So that means you have to take the equation you have and "solve it for 'y' ".

2y - 10x = 20

Add 10x to each side: 2y = 10x + 20

Divide each side by 2 :  y = 5x + 10

There it is.
Now that you have it in that form, you can just look at it and see that the
slope of the line on the graph is 5, and the line crosses the y-axis at 10.

And that's exactly the information you need to graph it. On your graph,
mark a little dot on the y-axis at 10, and draw a line through that dot
with a slope of 5.

5 0

3 years ago

Edenuity Quiz

lesya [120]

Answer:

Step-by-step explanation:

A) Jared makes x of a goodie bag per hour. How many

can he make in y of an hour?

B) Jared makes x of a goodie bag per hour. How many

can he make in y of an hour?

C) Jared has x of an hour left to finish making goodie bags. It takes him y of an hour to make each goodie bag. How many goodie bags can he make?

D) id k

Quotient is the answer to a division problem, so we need to find a problem that needs to divide x and y to find the answer. It isn't A or B, since they are asking for y, not the quotient. I have no idea what D is. C makes sense, so C might be the answer.

It tells us how much time he has(x), and how long it takes him to make 1 bag(y), and we need to find the answer, which is the quotient.

So C is the answer.

---

hope it helps

4 0

3 years ago

Ted jogged a total of 11.2 miles in 4 days. He jogged the same distance each day

marta [7]

Answer:

Part A: 2.8 miles

Part B: 16.8 miles

Step-by-step explanation:

First, solve for how many miles Ted jogged in 1 day:

Variable x = number of miles

11.2/4 = x/1

Cross multiply

11.2 × 1 = 4 × x

11.2 = 4x

Divide both sides by 4

2.8 = x

He jogged 2.8 miles every day.

To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:

2.8 miles × 6 days = 16.8 miles in 6 days

3 0

3 years ago

Suppose that a weight on a spring has initial position​ s(0) and period P. ​ s(0)= 1in ;p=0.8

Suppose that a weight on a spring has initial position s(0) and period P. s(0)= 1in ;p=0.8