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
HACTEHA [7]
3 years ago
11

A figure skater begins spinning counterclockwise at an angular speed of 4.5 π rad/s. During a 4.8 s interval, she slowly pulls h

er arms
inward and finally spins at 7.2 π rad/s.
What is her average angular acceleration
during this time interval?
Answer in units of rad/s
2
.
Mathematics
1 answer:
Kryger [21]3 years ago
8 0

Answer:

\alpha =1.76\ rad/s^2

Step-by-step explanation:

Given that,

Initial angular speed of the skater, \omega_i=4.5\pi\ rad/s

Final angular speed of the skater, \omega_f=7.2\pi\ rad/s

Time interval, t = 4.8 s

We need to find her average angular acceleration  during this time interval. Let \alpha be the average acceleration of the skater. So,

\alpha =\dfrac{\omega_f-\omega_i}{t}\\\\\alpha =\dfrac{7.2\pi -4.5\pi}{4.8}\\\\\alpha =1.76\ rad/s^2

So, her angular acceleration is 1.76\ rad/s^2.

You might be interested in
The sum of a number and three is doubled and then added to the product of six and the original number to give forty six
Zina [86]

Answer:

The number is 5

Step-by-step explanation:

Let x represent the number

Now let's break it down!

Sum of a number and 3 gives;

x + 3

This is then doubled to give;

2* (x + 3)

This is added to the product of 6 and the original number to give 46

Product of 6 and the original number = 6 * x

Now 2* (x + 3) is added to 6 * x to give 46

2* (x + 3) + 6*x = 46

2x + 6 + 6x = 46

8x + 6 = 46

Subtract 6 from both sides

8x + 6 - 6 = 46 - 6

8x = 40

x = 40/8

x = 5

Hence, the number is 5

3 0
3 years ago
Solve. x /5 + 3 = 2 A) -5 B) 25 C) 5 D) - 1/5 <br><br> help me
Ilia_Sergeevich [38]
X/5 + 3 = 2
x+15=10
x=-5
Ans : A
8 0
3 years ago
What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.
olga55 [171]

Answer:

The slop is undefined

i.e. m=\infty

Step-by-step explanation:

Considering the slope formula

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

As the points are (7, -4) and (7, 0)

Here:

  • (x₁, y₁) = (7, -4)
  • (x₂, y₂) = (7, 0)

\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty

so

  \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

            =\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}

             =\frac{0-\left(-4\right)}{0}

             =\infty    

Therefore, the slop is undefined i.e. m=\infty

5 0
3 years ago
Help within 20mins<br> Pls
Sergio039 [100]
Yayqhqjqjkqkqkqkqkqkqkqnab
3 0
3 years ago
Joey is saving up for a down payment on a car. He plans to invest $2,000 at the end of every year for 3 years. If the interest r
____ [38]
A=Annual amount=2000
i=annual interest=0.0205
n=number of years=3
Present value
=A((1+i)^n-1)/(i(1+i)^n)
=2000(1.0205^3-1)/(.0205(1.0205^3))
=5762.15
5 0
3 years ago
Read 2 more answers
Other questions:
  • explain how arc length and the measure of the central angle of a circle are related. check my answer?
    10·1 answer
  • Solve for B: AB + 3C = D
    5·1 answer
  • 6. A proton represents a positive charge. Write an integer to represent 5 protons. An electron represents a negative
    14·1 answer
  • 6x2 - 21 = 33; Solve and what are the x-intercepts of this quadratic equation ?
    6·1 answer
  • Write an expression that represents the area of a circle with radius 3x^3. (For any circle with radius r, a=π r^2 = π .r .r ^.)
    15·1 answer
  • The costs of a pack of noodles, a can of soda and a pack of bread buns are 120 Pesos, 45 Pesos, and 50 Pesos respectively. Brayd
    13·1 answer
  • Which expression is equivalent to a2 + 2a – 8?
    15·1 answer
  • From a well shuffled deck of 52 cards, the probability of NOT drawings a red-face card is ______.
    14·1 answer
  • 3x = 2/5 what is x plz help
    5·2 answers
  • I'LL GIVE BRAINLIEST AND 100 POINTS| Which answer choice correctly completes the sentence? When solving a story problem, the fir
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!