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fgiga [73]
3 years ago
9

The radial component of acceleration of a particle moving in a circular path is always:________ a. negative. b. directed towards

the center of the path. c. perpendicular to the transverse component of acceleration d. all of the above
Engineering
1 answer:
lesya [120]3 years ago
7 0

Answer:

d. all of the above

Explanation:

There are two components of acceleration for a particle moving in a circular path, radial and tangential acceleration.

The radial acceleration is given by;

a_r = \frac{V^2}{R}

Where;

V is the velocity of the particle

R is the radius of the circular path

This radial acceleration is always directed towards the center of the path, perpendicular to the tangential acceleration and negative.

Therefore, from the given options in the question, all the options are correct.

d. all of the above

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A coil having resistance of 7 ohms and inductance of 31.8 mh is connected to 230v,50hz supply.calculate 1. The circuit current 2
lora16 [44]

(1) The current in the circuit is 18.87 A,

(2) The phase angle is 54.97°

(3) The power factor is 0.574

(4) The power consumed is 2491.2 W

(1) To calculate the current in the circuit, first, we need to find the overall impedance of the circuit.

We can calculate the overall impendence of the circuit using the formula below.

  • Z = √[R²+(2πfL)²]........................ Equation 1

Where:

  • R = resistance of the coil
  • f = Frequency
  • L = Inductance of the coil
  • Z = Overall impedance of the circuit

From the question,

Given:

  • R = 7 ohms
  • L = 31.8 mH = 0.0318 H
  • f = 50 Hz
  • π = 3.14

Substitute these values into equation 1

  • Z = √[7²+(2×3.14×50×0.0318)²]
  • Z = √(49+99.7)
  • Z = √(148.7)
  • Z = 12.19 ohms.

Therefore we use the formula below to calculate the current in the circuit.

  • I = V/Z.................. Equation 2

Where:

  • V = Voltage
  • I = current in the circuit.

Given:

  • V = 230 V.

Substitute into equation 2

  • I = 230/12.19
  • I = 18.87 A

(2) To calculate the phase angle, we use the formula below.

  • ∅ = tan⁻¹(2πfL/R)............... Equation 3

Where:

  • ∅ = Phase angle.


Substitute into equation 3

  • ∅ = tan⁻¹(2×3.14×50×0.0318/7)
  • ∅ = tan⁻¹(9.9852/7)
  • ∅ = tan⁻¹(1.426)
  • ∅ = 54.97°

(3) To calculate the power factor, we use the formula below.

  • pf = cos∅............ Equation 4

Where:

  • pf = power factor.

Substitute the value of ∅ into equation 4

  • pf = cos(54.97°)
  • pf = 0.574.

(4) And Finally to calculate the power consumed we use the formula below.

  • P = V×I×pf................ Equation 5

Where:

  • P = The power consumed

Substitute the values into equation 5

  • P = 230(18.87)(0.574)
  • P = 2491.22 W


Hence, (1) The current in the circuit is 18.87 A, (2) The phase angle is 54.97° (3) The power factor is 0.574 (4) The power consumed is 2491.2 W

Learn more about Impedance here: brainly.com/question/13134405

5 0
2 years ago
(1.24) Consumer Reports is doing an article comparing refrigerators in their next issue. Some of the characteristics to be inclu
kondaur [170]

Answer:

“height is a quantitative variable ”

Explanation:

According to the question asked, answer is “height is a quantitative variable ”

Height is a quantitative variable because it is related to the measurement and in measurement, when we measure something we deal with number (numerical data)

Numerical data is a type of quantitative data that is why we say “height is a quantitative variable”  

There are some other possible questions in the given paragraph which I would like to mention here,  are as following:

Which are the categorical variables in the given report?

<u>Answer: </u>Energy star complaints

Top, Bottom or side-by-side freezer

Which are the quantitative variables in the given report?

<u>Answer:</u> Estimated Energy Consumption in kilowatts

Width, depth, and height in inches

Capacity in Cubic Feet  

What are the individuals in the report?

<u>Answer: </u>The brand name and model  

8 0
3 years ago
I need help with this question please
solniwko [45]

Answer:

The resultant moment is 477.84 N·m

Explanation:

We note that the resultant moment is given by the moment about a given point

The length of the sides of the formed triangles are;

l = sin(40°) × 4/sin(110°) ≈ 2.736

Taking the moment about the lower left hand corner of the figure, with the convention that clockwise moments are positive, we have;

The resultant moment, ∑m, is given as follow;

∑M = 250 N × 4 m + 400 N × cos(40°) × 4 m - 400 N × cos(40°) × 2 m + 400 N × sin(40°) × 2 m × tan(40°) - 600 N × cos(40°) × 2 m - 600 N× sin(40°) × 2 m × tan(40°) = 477.837084 N·m

Therefore, the resultant moment, ∑m ≈ 477.84 N·m clockwise.

6 0
3 years ago
The bulk modulus of a fluid if it undergoes a 1% change in volume when subjected to a pressure change of 10,000 psi is (a) 0.01
Veseljchak [2.6K]

Answer:

The required bulk modulus is 10^{6} Psi. So, the answer is non of these.

Explanation:

Change in pressure of the fluid is directly proportional to the volumetric strain. The constant of proportionality is the bulk modulus of the fluid.

Step1

Given:

Percentage change in volume is 1%.

Change in pressure is 10000 Psi.

Calculation:

Step2

Volumetric strain is calculated as follows:

\frac{\bigtriangleup V}{V}=\frac{1}{100}

\frac{\bigtriangleup V}{V}=0.01

Step3

Bulk modulus is calculated as follows:

\frac{\bigtriangleup V}{V}=0.01

\frac{\bigtriangleup V}{V}=0.01

10000=K\times0.01

K = 1000000 Psi.

Thus, the required bulk modulus is 10^{6} Psi.

3 0
3 years ago
Which statement best​ explains how Sarah Zielinski introduces and develops her points in the article about​ Henrietta Lacks?
Daniel [21]

Question:

Which statement best​ explains how Sarah Zielinski introduces and develops her points in the article about​ Henrietta Lacks?

  1. Zielinski explains how her interest in the Henrietta Lacks story began then provides details about the first  immortal human tissue sample and tells why it has been both important and controversial.
  2. Zielinski explains the need for using human tissue samples then introduces Rebecca Skloot who gives an  account of her experiences of researching the origin of the HeLa cells.
  3. Zielinski explains how the first immortal human cells were found then provides Rebecca Skloot’s answers to  questions about the importance of using human tissue samples, the Lacks family’s responses to learning of its  link to the HeLa cells, and the issues arising from their discovery and use.
  4. Zielinski explains the importance of the first human tissue samples to life and their widespread use, the  reason for the confusion about those samples as well as the ethical issues faced by the Lacks family after learning they had not shared in profits from the sale of the HeLa samples.

Answer:

The correct answer is number 3

Explanation

The article devotes the first three sentences to describing how the Immortal cells came to be. In sentence 4, she makes reference to a book by Rebecca Skloot titled <em>The Immortal Life of Henrietta Lacks. </em>The book explains the history of Henrietta's cells and its impact on Henrietta's family as the medical world.

Cheers

4 0
3 years ago
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