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Molodets [167]
3 years ago
5

The motion of a simple spring hanging from the ceiling can be modeled with a cosine function. The bottom of the spring has a max

imum height of 7 feet 4 inches and a minimum height of 6 feet 2 inches from the floor. It takes 2 seconds for the spring to expand from its minimum length to its maximum length. What is a cosine function that models the spring’s length in inches above and below its average, resting position? Express the model as a function of time in seconds
Physics
2 answers:
Soloha48 [4]3 years ago
7 0
The first step is to substitute the given values in this equation f(x)= A cos (W*t). It is assumed that there is no mass in the resting position. The calculated amplitude is equal to 7. The final answer is f(t) = 7cos(π/2t).
frozen [14]3 years ago
7 0

Answer:

y = 6'9" + 7"cos(\frac{\pi}{2} t)

Explanation:

As we know that the distance between maximum and minimum distance of the position will be equal to double of the amplitude.

So here we can say that

2 \times Amplitude = maximum\: distance - minimum \:distance

2A = 7'4" - 6'2"

2A = 1'2"

A = 7 inch

Since it took 2 second to reach the position of maximum length from its position of minimum length so here time period of motion will be

T = 4 seconds

so here angular frequency is given as

\omega = \frac{2\pi}{T}

\omega = \frac{2\pi}{4}

now the equation of motion will be

y = 6'9" + 7"cos(\frac{\pi}{2} t)

here its mean position from ground is at 6 ft 9 inch above and it will oscillate about it with an amplitude of 7 inch with time period of 4 s

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The conventional system of signs that indicate relative durations of long and short sounds is called.
Rudiy27

Musical notation is the term used to describe the common system of signs used to denote the relative duration of long and short sounds.

<h3>What is a musical notation?</h3>

Music notation, often known as musical notation, is any technique used to graphically express audibly perceived music performed with instruments or sung by a human voice using written, printed, or other symbol-based representations. This includes notation for periods of silence like rests.

Throughout history, many civilizations have used different types of notation, and the knowledge of early musical notation is generally sparse. Different musical genres and cultural groups employ various methods of music notation, even during the same time period, such as the 2010s. For instance, while sheet music with staves and note-heads is the most popular method for professional classical musicians, the Nashville Number System is the main method used by professional country music session musicians.

To know more about musical notation, visit:

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6 0
2 years ago
Can someone please help me​
pickupchik [31]

Answer:C (198 seconds)

Explanation: The cyclist makes the first lap in (180.00 - 6.00) = 174.00 seconds. The average time per lap for all three circuits is (600.00 - 6.00) = 594/3 = 198 seconds.

7 0
3 years ago
A small fan has blades that have a radius of 0.0600 m. When the fan is turned on, the tips of the blades have a tangential accel
zhuklara [117]

Answer:

α = 395 rad/s²

Explanation:

Main features of uniformly accelerated circular motion

A body performs a uniformly accelerated circular motion   when its trajectory is a circle and its angular acceleration is constant  (α = cte). In it the velocity vector is tangent at each point to the trajectory and, in addition, its magnitude varies uniformly.

There is tangential acceleration (at) and is constant.

at = α*R     Formula (1)

where

α  is the angular acceleration

R is the radius of the circular path

There is normal or centripetal acceleration that determines the change in direction of the velocity vector.

Data

R = 0.0600 m   :blade radius

at = 23.7 m/s² : tangential acceleration of the blades

Angular acceleration of the blades (α)

We replace data in the formula (1)

at = α*R  

23.7 = α*(0.06)

α = (23.7) / (0.06)

α = 395 rad/s²

7 0
3 years ago
Fast and safe heart rate for workouts is called muscular strength? True or false
Vsevolod [243]

Answer:

False

Explanation:

8 0
2 years ago
Read 2 more answers
At a distance of 8 m, the sound intensity of one speaker is 66 dB. If we were to place 3 speakers in a circle of radius 8 m, wha
ludmilkaskok [199]

Answer:

dβ = 70. 77 dβ

Explanation:

The intensity of sound in decibels is

         dβ = 10 log I/I₀

let's look for the intensity of this signal

         I / I₀ = 10 dβ/10

         I / I₀ = 3.981 10⁶

the threshold intensity of sound for humans is I₀ = 1 10⁻¹² W / m²

         I = 3.981 10 ⁶ 1 10⁻¹²

         I = 3,981 10⁻⁶ W / m²

It is indicated that 3 cornets are placed in the circle, for which total intensity is

        I_total - 3 I

        I_total = 3  3,981 10⁻⁶

        I_total = 11,943 10⁻⁶ W / m²

let's reduce to decibels

      dβ = 10 log (11,943 10⁻⁶/1 10⁻¹²)

      dβ = 10  7.077

      dβ = 70. 77 dβ

3 0
3 years ago
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