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Art [367]
3 years ago
15

A tire placed on a balancing machine in a service station starts from rest and turns through 4.0 rev in 1.0 s before reaching it

s final angular speed. Assuming that the angular acceleration of the wheel is constant, calculate the wheel’s angular acceleration. Answer in units of rad/s 2 .
Physics
2 answers:
Shalnov [3]3 years ago
8 0

Answer:

a  = 50.26 rad/s^2

Explanation:

We know that:

θ = \frac{1}{2}at^2

where θ is the angle, a the angular aceleration and t the time.

First, we need to find how many rad are equivalent to 4 rev, as:

θ = 4 rev * 2π = 25.13 rad

Finally, replacing θ by 25.13 rad and t by 1 second, we get:

25.13 rad = \frac{1}{2}a(1s)^2

Solving for a:

a  = 50.26 rad/s^2

mixas84 [53]3 years ago
5 0

Answer:

50.27rad/s2

Explanation:

Using the formula,

= t + 1/2t2

Where = angular displacement of the rotating body = angle turned through by the body in rad, = initial angular velocity of rotating body in rad/s, =angular acceleration of the rotating body in rad/s2, t = time in s.

Since the body starts from rest, = 0, so the equation becomes,

= 1/2t2

Then,

= 2/t2,

Where t = 1s,

But,

for I complete revolution (rev) = 360 degrees = 2π,

Therefore, for 4 revs,

= 4 x 2π = 4 x 6.283185 = 25.1327rad

Substituting,

= 2 x 25.1327/1 x 1 = 50.27rad/s2

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A point charge with a charge q1 = 2.30 μC is held stationary at the origin. A second point charge with a charge q2 = -5.00 μC mo
Alla [95]

Answer:

W = 2.74 J

Explanation:

The work done by the charge on the origin to the moving charge is equal to the difference in the potential energy of the charges.

This is the electrostatic equivalent of the work-energy theorem.

W = \Delta U = U_2 - U_1

where the potential energy is defined as follows

U = \frac{1}{4\pi\epsilon_0}\frac{q_1q_2}{r^2}

Let's first calculate the distance 'r' for both positions.

r_1 = \sqrt{(x_1 - x_0)^2 + (y_1 - y_0)^2} = \sqrt{(0.170 - 0)^2 + (0 - 0)^2} = 0.170~m\\r_2 = \sqrt{(x_2 - x_0)^2 + (y_2 - y_0)^2} = \sqrt{(0.250 - 0)^2 + (0.250 - 0)^2} = 0.353~m

Now, we can calculate the potential energies for both positions.

U_1 = \frac{kq_1q_2}{r_1^2} = \frac{(8.99\times 10^9)(2.3\times 10^{-6})(-5\times 10^{-6})}{(0.170)^2} = -3.57~J\\U_2 = \frac{kq_1q_2}{r_2^2} = \frac{(8.99\times 10^9)(2.3\times 10^{-6})(-5\times 10^{-6})}{(0.3530)^2} = -0.829~J

Finally, the total work done on the moving particle can be calculated.

W = U_2 - U_1 = (-0.829) - (-3.57) = 2.74~J

4 0
3 years ago
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A car travels 60 miles due West first then turns back and travels 120 miles due East in 3 hours. What is...
ella [17]

Answer:

<h2>A. 180 miles</h2><h2>B. 60 miles</h2><h2 />

Explanation:

In this problem, we are required to solve for the total distance that the car travelled. and the displacement

A) the distance travelled by car

this can be gotten by summing all the distances the car has travelled.

i,e total distance= 60 miles+120 miles

total distance= 180 miles

B) the displacement of the car

the displacement can be gotten by  subtracting the final distance from the initial distance

final distance = 120 miles

initial distance= 60 miles

displacement= 120-60= 60 miles

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I need more information
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A proton that has a mass m and is moving at +164 m/s undergoes a head-on elastic collision with a stationary carbon nucleus of m
Irina18 [472]
The concept of this problem is the Law of Conservation of Momentum. Momentum is the product of mass and velocity. To obey the law, the momentum before and after collision should be equal:

m₁ v₁ + m₂v₂ = m₁v₁' + m₂v₂', where
m₁ and m₂ are the masses of the proton and the carbon nucleus, respectively,
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v₁' and v₂' are the velocities of the proton and the carbon nucleus after collision, respectively,

m(164) + 12m(0) = mv₁' + 12mv₂'
164 = v₁' + 12v₂'  --> equation 1

The second equation is the coefficient of restitution, e, which is equal to 1 for perfect collision. The equation is

(v₂' - v₁')/(v₁ - v₂) = 1
(v₂' - v₁')/(164 - 0) = 1
v₂' - v₁'=164 ---> equation 2

Solving equations 1 and 2 simultaneously, v₁' =  -138.77 m/s and v₂' = +25.23 m/s. This means that after the collision, the proton bounced to the left at 138.77 m/s, while the stationary carbon nucleus move to the right at 25.23 m/s.
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