1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
UkoKoshka [18]
2 years ago
14

Question 5

Mathematics
1 answer:
Harrizon [31]2 years ago
8 0

Answer:

h ( t ) = 4 sin ( 100\pi*t )

Step-by-step explanation:

Solution:-

The position of any particle or object lying on a circular surface which is rotating with an angular speed of ( w ).

The motion of the particle/object can be expressed as sinusoidal or harmonic motion. We can express the motion of the particle in the cartesian coordinate system using a sinusoidal waveform.

The position of the particle/object from the central axis at time t = 0 can be given in the form:

                    h ( t ) = A*sin ( w*t )

Where,       A: The amplitude of the particle in motion ( in )

                  w: The angular frequency of rotation ( rad/s )

The amplitude ( A ) of the sinusoidal waveform is determined from the maximum displacement of the particle/object from the horizontal axis which defined by the radius of the fidget spinner where the particle is located. Hence, A = 4 in

The fidget rotates at 3000 rpm. We need to determine the angular speed of the particle. Assuming no slip conditions, the particle also rotates at 3000 rpm.

We will first convert 3000 rpm into rad/s as follows:

                     f= \frac{3000 rev}{min} * \frac{min}{60 s} = 50 \frac{rev}{s} \\\\w = 2\pi f\\\\w = 2\pi \frac{rad}{rev} * \frac{50 rev}{s} \\\\w = 100\pi \frac{rad}{s}

The sinusoidal function that models h ( t ) can be written as:

                     h ( t ) = 4 sin ( 100\pi*t )

You might be interested in
Simplify: 4(3x^2y^4)^3 / 2x^3y^5)^4
Semenov [28]
Step by step solution :<span>Step  1  :</span><span>Equation at the end of step  1  :</span><span><span> (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) </span><span> Step  2  :</span></span><span>Equation at the end of step  2  :</span><span><span> ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 </span><span> Step  3  :</span><span> 33x6y12 Simplify ———————— 24x12y20 </span></span>Dividing exponential expressions :

<span> 3.1 </span>  <span> x6</span> divided by <span>x12 = x(6 - 12) = x(-6) = 1/<span>x6</span></span>

Dividing exponential expressions :

<span> 3.2 </span>  <span> y12</span> divided by <span>y20 = y(12 - 20) = y(-8) = 1/<span>y8</span></span>

<span>Equation at the end of step  3  :</span><span> 27 4 • —————— 16x6y8 </span><span>Step  4  :</span>Final result :<span> 27 ————— 4x6y<span>8</span></span>
6 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 78cm.
mestny [16]

Answer:

17 cm

Step-by-step explanation:

P=2L+2W

L=22, P=78 we want to find W

78=2(22)+2W

78=44+2W

34=2W

W=17 cm

3 0
2 years ago
The line y =3x-5 meet x-axis at the point M. The line 3y+2x=2 meets y-axis at point N. Find the equation of the line joining M a
Law Incorporation [45]

<u>Answer-</u>

<em>The line equation is,</em>

\boxed{\boxed{6x+15y-10=0}}

<u>Solution-</u>

The line y =3x-5 meets x-axis at the point M, i.e M is the x-intercept of this line. At the x-intercept y=0, so

\Rightarrow 0 =3x-5

\Rightarrow 3x=5

\Rightarrow x=\dfrac{5}{3}

So, coordinate of M is (\dfrac{5}{3},\ 0)

The line 3y+2x=2 meets y-axis at point N, i.e N is the y-intercept of this line. At the y-intercept x=0, so

\Rightarrow 3y+2(0)=2

\Rightarrow 3y=2

\Rightarrow y=\dfrac{2}{3}

So, coordinate of N is (0,\ \dfrac{2}{3})

The line joining M and N can be found out by applying two point formula of straight line,

\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}

\Rightarrow \dfrac{y-0}{\frac{2}{3}-0}=\dfrac{x-\frac{5}{3}}{0-\frac{5}{3}}

\Rightarrow \dfrac{y}{\frac{2}{3}}=\dfrac{x-\frac{5}{3}}{-\frac{5}{3}}

\Rightarrow -\dfrac{5}{3}y=\dfrac{2}{3}(x-\frac{5}{3})

\Rightarrow -5y=2(x-\dfrac{5}{3})

\Rightarrow -5y=2x-\dfrac{10}{3}

\Rightarrow 2x+5y-\dfrac{10}{3}=0

As it is given that all the coefficients are integers, so multiplying with 3

\Rightarrow 6x+15y-10=0

4 0
3 years ago
Read 2 more answers
What number represents an elevation of 80 feet below sea level
Snowcat [4.5K]

Answer:

-80

Step-by-step explanation:

The answer is <u><em>-80</em></u> because 80 feet below sea level would be a negative number. So you just add a negative sign to 80 and <em>voila! </em>You get the answer. Your welcome, by the way!

7 0
2 years ago
What coefficients do you need to balance the following equation?
Mandarinka [93]

Answer:

4,3,2,6

Step-by-step explanation:

this is because all the atoms are in same number in reactants and products

6 0
2 years ago
Other questions:
  • RSTU is a kite, mR = 150, and mS = 50. Find mT
    7·2 answers
  • 3/4 Multiply 2/7 simplest form
    10·2 answers
  • How do you graph a line with one number y= -4
    15·1 answer
  • Jabo is standing next to a building. Jabo is 6.25 feet tall, and cast a shadow that 14 feet long. If the building cast a shadow
    11·1 answer
  • Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?
    6·1 answer
  • ILL GIVE BRAINLIEST!!! At Beaumont High School, there are 12 players on the baseball team. All 12 players are taking at least on
    9·1 answer
  • Plz help math question
    14·1 answer
  • I need this answered as soon as possible
    7·2 answers
  • Please help! I’ll also give brainliest! Thank you!
    10·1 answer
  • How to solve for X in the triangle
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!