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PolarNik [594]
3 years ago
7

A pendulum clock is a clock that uses a swinging weight (a pendulum) as its

Mathematics
1 answer:
Gnoma [55]3 years ago
7 0

Answer: x(t) = 5cm*cos(t*pi/2s)

Step-by-step explanation:

This is a sinusoidal equation, so we can write this as:

x(t) = A*cos(c*t + p)  + B

where B is the axis around the movement, as the resting position is x = 0, we have B = 0

so x(t) = A*cos(c*t + p)

A is the amplitude of the oscilation, c is the frequency and p is a phase.

We know that when t = 0s, we have x(2s) = 5cm

if this is the maximum displacement, then knowing that the maximum of the cosine is cos(0) = 1

then we must have that p = 0

x(0s) = A*cos(0) = 5cm

then we have A = 5cm

Now, when t = 2s, we have:

x(2s) = 5cm*cos(2s*c) = -5cm

then 2s*c is the minimum of the cos(x) function, this is:

cos(pi) = -1

then 2s*c = pi

c = pi/2s.

then our function is:

x(t) = 5cm*cos(t*pi/2s)

You might be interested in
How do you solve -2(6x+3)=-27–5x ?
kvasek [131]
Hi!

Our goal is to isolate x on one side by doing the same operation on both sides.

First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x

Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x

Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
-7x = -21

Divide by -7 on both sides
-7x/-7 = -21/-7
x = 3

The answer is x = 3

Hope this helps! :)
8 0
3 years ago
4,275,000,000 in scientific notation
Leni [432]
4.275x10^{9}
6 0
3 years ago
7.
Agata [3.3K]

Answers:

  • prime number = {2,3,5}
  • composite number = {4,6}
  • number less than four = {1,2,3}
  • number more than or equal to three = {3,4,5,6}

====================================================

Explanation:

The list of all possible outcomes on a single standard die is {1,2,3,4,5,6}. The curly braces indicate set notation.

A prime number is a number where its only factors are 1 and itself. The value 1 is not prime, and it's not composite either.

Something like 3 is prime because its only factors are 1 and 3. Something like 4 is composite because 4 = 2*2. A composite value has factors other than 1 and itself.

Parts (iii) and (iv) are fairly straight forward. You simply list items less than four for part (iii) and you list items that are three or greater for part (iv).

5 0
3 years ago
What is the radical expression
Margaret [11]

5x^{\frac{1}{4} }=5\cdot x^{\frac{1}{4}}= 5\sqrt[4]{x} \\\\because\\\\a^{\frac{1}{n} }=\sqrt[n]{a}

6 0
3 years ago
FIND 2 RATIONAL NUMBER EQUILANT TO 7/19
photoshop1234 [79]

Answer:

14/38

21/57

Step-by-step explanation:

You just multiply by 2/2 and 3/3

6 0
3 years ago
Read 2 more answers
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