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Svet_ta [14]
1 year ago
11

A grindstone increases in angular speed from 4.00 rad/s to 12.00rad/s in 4.00 s. Through what angle does it turn during that tim

e interval if the angular acceleration is constant? (a) 8.00rad (b) 12.0rad (c) 16.0rad (d) 32.0rad (e) 64.0rad
Physics
1 answer:
Talja [164]1 year ago
3 0

Through what angle does it turn during that time interval if the angular acceleration is constant: 32.0rad.

<h3>What is angular acceleration?</h3>
  • Angular acceleration is the term used to describe the temporal pace at which angular velocity varies. Radians per second is the accepted unit of measurement. Consequently, = d d t. Angular acceleration is also known as rotational acceleration.

  • Angular acceleration can be calculated by dividing the angular velocity by the acceleration duration. (t). Use pi instead, or the drive speed (n) divided by the acceleration time (t) multiplied by 30. The usual SI unit for the rotational acceleration that results from this equation is radians per second squared (Rad/sec2).

Through what angle does it turn during that time interval if the angular acceleration is constant:

v(initial) = 4rad/s

v(final) = 12

t = 4 sec

a = ?

v(final) = v(initial) + at

12 = 4 + a(4)

a = 2 rad/sec2

s = ?

v(initial) = 4rad/s

v(final) = 12

a = 2rad/sec2

v(final)^2 = v(initial)^2 + 2as

12^2 = 4^2 + 2(2)(s)

144 = 16 + 4s

s = 32 rads

d) 32.0rad.

To learn more about angular acceleration, refer to:

brainly.com/question/20912191

#SPJ4

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Nana76 [90]

13.0m/s

1.2m/s

Explanation:

Given parameters:

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Unknown:

Final speed = ?

Solution:

Acceleration is the rate of change of velocity with time.

   a = \frac{V - U}{T}

a  = acceleration

V = final speed

U = initial speed

T = time taken

  Input the variables and solve for V;

 

   2.64 = \frac{V - 7.1}{2.23}  

  V - 7.1 = 5.9                              expression 1

  V = 5.9 + 7.1 = 13.0m/s

B

Using the same parameters, the speed after a uniform deceleration of -2.64m/s², the negative sign implies deceleration;

 from expression 1;

           V - 7.1  = -5.9

           V = -5.9 + 7.1 = 1.2m/s

learn more:

Acceleration brainly.com/question/3820012

#learnwithBrainly

5 0
3 years ago
A coin of mass m rests on a turntable a distance r from the axis of rotation. The turntable rotates with a frequency of f. What
Crank

Answer:

\mu = \frac{r (2\pi f)^{2}}{g}

Explanation:

N = normal force acting on the coin

Normal force in the upward direction balances the weight of the coin, hence

N = mg

f = frequency of rotation

Angular velocity of turntable is hence given as

w = 2\pi f

r = distance from the axis of rotation

\mu = minimum coefficient of static friction

static frictional force is given as

f = \mu N\\f = \mu mg

The  static frictional force provides the necessary centripetal force , hence

Centripetal force = Static frictional force

m r w^{2} = \mu mg\\r w^{2} = \mu g\\\\\mu = \frac{r w^{2}}{g} \\\mu = \frac{r (2\pi f)^{2}}{g}

3 0
3 years ago
If sunlight begins to warm a frozen lake, the atoms in the lakes frozen water will begin to move faster. True of False?
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True, the water would eventually move from solid back to liquid form because of the heat.<span />
4 0
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a person does 100 joules of work in pulling back the string of a bow. what will be the initial speed of a 0.5 kg arrow when it i
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If all the energy she put into bending the bow is completely
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Divide each side by 0.25 kg:    100 J / 0.25 kg = speed²

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