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
Annette [7]
3 years ago
6

A bicycle wheel is rotating about a fixed axis at 10 rev/s in a clockwise sense. Five seconds later the wheel is rotating at 50

rev/s also in a clockwise sense. What is the average angular acceleration in this 5 second interval
Mathematics
1 answer:
Sedaia [141]3 years ago
8 0

Answer:

the average angular acceleration is 50.265 rad/s²

Step-by-step explanation:

since the angular acceleration represents the rate of change of the angular velocity ω with respect to the time t , then:

average angular acceleration = (ω₂-ω₁)/(t₂-t₁)

where 2 represents the final state and 1 the initial one. Also the angular velocity is related with the frequency f through :

angle covered / time = angle covered / revolution * revolutions/ time

ω= 2π*f

therefore

average angular acceleration = 2π*(f₂-f₁)/(t₂-t₁)

replacing values

average angular acceleration = 2π*(f₂-f₁)/(t₂-t₁) = 2π rad/rev *(50 rev/s-10 rev/s)/(5 s - 0 s) = 16*π rad/s² = 50.265 rad/s²

You might be interested in
Two baskets contain snacks. The basket contain 12 bags of peanuts, of which 5 are reduced sodium and 8 granola bars, of which 2
Ghella [55]
There are a total of 20 snacks in each bag.  We consider the probability of picking a bag of peanuts with reduced sodium and then a granola bar with reduced sodium, then multiply by 2 (because we could pick them in the other order).

There is a 5/20 chance of picking a sodium-reduced bag of peanuts first, and a 2/20 chance of picking a sodium-reduced granola bar next.  Thus, the chance of picking them together in that order is 5/20*2/20=10/400, or 1/40.  Because we could pick the snacks in either order, we multiply by two, for a result of a 1/20 probability.
8 0
3 years ago
Jessica is eating a bag of sour skittles . Her friend ask her to share, and Jessica throws over an extra bag. Her friend does no
liraira [26]

Answer:

A parabola opens downward with vertex at (1,20)

Step-by-step explanation:

The function that models the height of bag of candies is

h(t) =  - 16 {t}^{2}  + 32t + 4

The graph of this function is a parabola that opens downward.

To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.

Factor -16 to get;

h(t) =  - 16( {t}^{2}  - 2t) + 4

Add and subtract the square of half the coefficient of t.

h(t) =  - 16( {t}^{2}  - 2t + 1)  + 16+ 4

Factor the perfect square trinomial:

h(t) =  - 16( {t - 1)}^{2}  + 20

The vertex is (1,20)

This means the maximum height after 1 second is 20 feet.

7 0
3 years ago
What is the relationship between the ratios? 10/24 and 5/12 are the ratios proportional or not proportional
Lubov Fominskaja [6]
Yes, they are proportional.
3 0
3 years ago
What is the x intercept for g(x) = 3|x - 2| - 2.​
kogti [31]

Answer: g(x)= 31x-21-2

Step-by-step explanation:

21-2=19

31x=19

divide that by 31

the answer would be 1.63

3 0
3 years ago
Frankie descends 56 ft in 4 minutes. what is frankies average change in position per minute from which he started.
ArbitrLikvidat [17]

Answer:

14?

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Draw the image of A ABC under a dilation whose center is P and scale factor is 3.
    11·1 answer
  • Find the value of the variable for which the value of the expression –3(2x+1) is 20 greater than the value of the expression 8x+
    8·1 answer
  • Please help ASAP! will give brainlist.
    9·1 answer
  • I need help solving this word problem
    13·1 answer
  • The marked price of an article is 25% above its selling price and the cost price is 30% less than its marked price . find the di
    12·1 answer
  • For students who first enrolled in two year public institutions in a recent​ semester, the proportion who earned a​ bachelor's d
    13·1 answer
  • A review of combination
    8·1 answer
  • An airline offers a survey for its passengers to complete after every flight. Each time a passenger completes the survey, there
    13·1 answer
  • Help me with questions 3 and 4 please​!
    10·2 answers
  • Write the fraction as a decimal and a percent 42/100
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!